Submitted Manuscripts (reverse chronological order)

Books and Monographs

Articles in Refereed Journals (reverse chronological order)

1. Joern Zimmerling, Vladimir Druskin, and V. Simoncini
   Monotonicity, bounds and averaging of Block-Gauss and Gauss-Radau quadrature for computing B' phi(A)B
   pp. 1-22, Dipartimento di Matematica, Universita' di Bologna, August 2024.
   To appear in J. Scient. Computing, 2025. ArXiv 2407.21505 [v2]
   
   
2. Lorenzo Piccinini , and V. Simoncini
   Truncated LSQR for matrix least squares problems
   pp. 1-22, Dipartimento di Matematica, Universita' di Bologna, February 2024.
   Accompanying code.
   To appear in Computational Optimization and Applications (COAP). DOI: 10.1007/s10589-024-00629-w
   
   
3. Davide Palitta , Marcel Schweitzer , and V. Simoncini
   Sketched and truncated polynomial Krylov methods: matrix Sylvester equations
   Codes available here
   To appear in Math. Comp. https://doi.org/10.1090/mcom/4002
   
   
4. Davide Palitta , Marcel Schweitzer , and V. Simoncini
   Sketched and truncated polynomial Krylov methods: Evaluation of Matrix functions
   To appear in Numerical Linear Algebra w/Appl. http://doi.org/10.1002/nla.2596
   
   
5. Sijing Liu , and V. Simoncini
   Multigrid preconditioning for discontinuous Galerkin discretizations of an elliptic optimal control problem with a convection-dominated state equation
   J. Scientific Computing, (2024), 101(1), article: 79. https://link.springer.com/article/10.1007/s10915-024-02717-9
   
   
6. V. Simoncini and Daniele Toni ,
   On some structural properties of generalized Lyapunov eigenproblems and application to operator preconditioning
   Boll Unione Mat Ital, Volume 17, pages 625-645, (2024) https://doi.org/10.1007/s40574-023-00400-9
   
   
7. V. Simoncini and Yue Hao
   Analysis of the truncated conjugate gradient method for linear matrix equations
   SIAM J. Matrix Analysis and Appl., Vol. 44, Iss. 1 (2023)DOI: 10.1137/22M147880X
   HAL archive hal-03579267.
   
   
8. Margherita Porcelli, and V. Simoncini
   Numerical solution of a class of quasi-linear matrix equations
   Linear Algebra and Its Applications 664C (2023) pp. 349-368. https://doi.org/10.1016/j.laa.2023.01.024
   
   
9. Alessandro Alla , Dante Kalise, and V. Simoncini
   State-dependent Riccati equation feedback stabilization for nonlinear PDEs
   Adv Comput Math, 49:9, (2023), https://doi.org/10.1007/s10444-022-09998-4
   
   
10. Julian Henning, Davide Palitta , V. Simoncini and Karsten Urban
    A Very Weak Space-Time Variational Formulation for the Wave Equation: Analysis and Efficient Numerical Solution
    ESAIM: M2AN, 56(4) July-August 2022, pp. 1173 - 1198. https://doi.org/10.1051/m2an/2022035
    
    
11. Davide Palitta , Stefano Pozza and V. Simoncini
    The short-term rational Lanczos method and applications
    SIAM J. Sci. Comput., 44 (4), A2843-A2870, 2022. https://doi.org/10.1137/21M1403254.
    
    
12. Alexandra Buenger , V. Simoncini and Martin Stoll
    A low-rank matrix equation method for solving PDE-constrained optimization problems
    SIAM J. Sci. Comput., 43(5), S637-S654, 2021. https://doi.org/10.1137/20M1341210
    
    
13. Yue Hao and V. Simoncini
    The Sherman-Morrison-Woodbury formula for generalized linear matrix equations and applications
    Numer. Linear Algebra w/Appl. 28 (5), 2021, e2384. DOI: 10.1002/nla.2384
    
    
14. Yue Hao and V. Simoncini
    Matrix equation solving of PDEs in polygonal domains using conformal mappings
    Journal of Numerical Mathematics, vol. 29, no. 3, 2021, pp. 221-244. DOI: https://doi.org/10.1515/jnma-2020-0035
    
    
15. Stefano Pozza and V. Simoncini
    Functions of Rational Krylov Space matrices and their decay properties
    Numerische Mathematik, 148 (1), 2021, pp. 99-126. DOI: 10.1007/s00211-021-01198-4
    
    
16. Davide Palitta and V. Simoncini
    Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations
    Vietnam Journal of Mathematics, 48 (2), 2020, pp. 791-807; DOI: 10.1007/s10013-020-00390-7
    
    
17. V. Simoncini
    Numerical solution of a class of third order tensor linear equations
    Bollettino UMI, 13 (3), 2020, pp.429-439. DOI: 10.1007/s40574-020-00247-4
    
    
18. Gerhard Kirsten and V. Simoncini
    Order reduction methods for solving large-scale differential matrix Riccati equations
    SIAM J. Scient. Computing, v. 42 (4), 2020, pages A2182-A2205. DOI: 10.1137/19M1264217
    
    
19. Maria Chiara D'Autilia, Ivonne Sgura and V. Simoncini
    Matrix-oriented discretization methods for reaction-diffusion PDEs: comparisons and applications
    Computers and Mathematics with Applications, v. 79 (1), 2020, pages 2067-2085. DOI: https://doi.org/10.1016/j.camwa.2019.10.020
    
    
20. Domitilla Brandoni and V. Simoncini
    Tensor-Train Decomposition for image recognition
    Calcolo, v. 57, Article # 9 (2020). DOI: 10.1007/s10092-020-0358-8
    
    
21. V. Simoncini
    On the numerical solution of a class of systems of linear matrix equations
    IMA J. Numerical Analysis, v. 44 (1), 2020, 207-225. DOI: 10.1093/imanum/dry083
    
    
22. Nick Gould and V. Simoncini,
    Error estimates for iterative algorithms for minimizing regularized quadratic subproblems
    Optimization Methods and Software. v.35 (2), 2020, pp.304-328. DOI:10.1080/10556788.2019.1670177
    
    
23. Stefano Pozza and V. Simoncini
    Inexact Arnoldi residual estimates and decay properties for functions of non-Hermitian matrices
    BIT Numerical Analysis, 59(4), pp. 969-986 (2019). DOI: https://doi.org/10.1007/s10543-019-00763-6
    
    
24. Giulia Sacchi and V. Simoncini
    A new GMRES convergence analysis for localized invariant subspace ill-conditioning.
    SIAM J. Matrix Anal. Appl., 40(2), 542-563 (2019). DOI: https://doi.org/10.1137/17M1141291
    
    
25. Davide Palitta and V. Simoncini
    Numerical methods for large-scale Lyapunov equations with symmetric banded data
    SIAM J. Scientific Computing, v.40 (5), pp.A3581--A3608 (2018). https://doi.org/10.1137/17M1156575
    
    
26. Davide Palitta and V. Simoncini
    Computationally enhanced projection methods for symmetric Sylvester and Lyapunov matrix equations
    J. Computational and Applied Mathematics, 330 (2018) 648-659. DOI: https://doi.org/10.1016/j.cam.2017.08.011
    
    
27. Benedetta Morini and V. Simoncini
    Stability and accuracy of Inexact Interior Point methods for convex quadratic programming
    J. of Optimization Theory and Applications (2017), 175 (2), pp.450-477. DOI: 10.1007/s10957-017-1170-8
    
    
28. Margherita Porcelli , V. Simoncini and Martin Stoll
    Preconditioning PDE-constrained optimization with L^1-sparsity and control constraints
    Computers and Mathematics with Applications 74 (2017) pp. 1059-1075. DOI 10.1016/j.camwa.2017.04.033.
    
    
29. Benedetta Morini , V. Simoncini and Mattia Tani
    A comparison of reduced and unreduced symmetric KKT systems arising from interior point methods
    Computational Optimization and Applications, v.68(1), 2017, pp.1-27. DOI: 10.1007/s10589-017-9907-8
    
    
30. Catherine E. Powell , David Silvester , and V. Simoncini
    An efficient reduced basis solver for stochastic Galerkin matrix equations
    SIAM J. Scientific Computing, 39 (1), (2017), pp.A141-A163. DOI:10.1137/15M1032399
    
    
31. Michele Benzi and V. Simoncini
    Approximation of functions of large matrices with Kronecker structure
    Numerische Mathematik 135(1) (2017) pp.1-26. DOI: 10.1007/s00211-016-0799-9
    
    
32. Sarah W. Gaaf and V. Simoncini
    Approximating the leading singular triplets of a large matrix function
    Applied Numerical Mathematics 113C (2017) pp. 26-43 DOI: 10.1016/j.apnum.2016.10.015
    
    
33. V. Simoncini
    Analysis of the rational Krylov subspace projection method for large-scale algebraic Riccati equations
    SIAM J. Matrix Analysis and Appl. 37-4 (2016), pp. 1655-1674. http://dx.doi.org/10.1137/16M1059382
    
    
34. Benedetta Morini , V. Simoncini and Mattia Tani
    Spectral estimates for unreduced symmetric KKT systems arising from Interior Point methods
    Numerical Linear Algebra w/Appl. Volume 23, Issue 5 (2016), pp. 776-800. DOI: 10.1002/nla.2054
    
    
35. Stephen D. Shank , V. Simoncini and Daniel B. Szyld
    Efficient low-rank solutions of Generalized Lyapunov equations
    Numerische Mathematik, 134(2), (2016), 327-342. DOI 10.1007/s00211-015-0777-7
    
    
36. Froilan Dopico , Javier Gonzalez, Daniel Kressner and V. Simoncini
    Projection methods for large T-Sylvester equations
    Mathematics of Computations, v.85, n.301 (2016), pp. 2427--2455. DOI: 10.1090/mcom/3081
    
    
37. V. Simoncini,
    Computational methods for linear matrix equations (Survey article)
    SIAM Review, 58-3, (2016), pp. 377-441. http://dx.doi.org/10.1137/130912839 (WoS highly cited paper, Jan./Feb. 2019)
    
    
38. Davide Palitta and V. Simoncini
    Matrix-equation-based strategies for convection-diffusion equations
    BIT Numerical Mathematics, 56-2, (2016), pp.751-776. DOI: 10.1007/s10543-015-0575-8
    
    
39. Tobias Breiten , V. Simoncini and Martin Stoll
    Fast iterative solvers for fractional differential equations
    Electr. Trans. Numer. Anal., 45 (2016), pp. 107-132.
    The Matlab code is available here
    
    
40. Michele Benzi and V. Simoncini
    Decay bounds for functions of Hermitian matrices with banded or Kronecker structure
    SIAM. J. Matrix Anal. Appl. 36-3 (2015), pp. 1263-1282 http://dx.doi.org/10.1137/151006159
    
    
41. Margherita Porcelli , V. Simoncini and Mattia Tani
    Preconditioning of active-set Newton methods for PDE-Constrained optimal control problems
    SIAM J. Sci. Comput. 37-5 (2015), pp. S472-S502. DOI: https://doi.org/10.1137/140975711
    
    
42. Claudio Canuto , V. Simoncini and Marco Verani
    Contraction and optimality properties of an adaptive Legendre-Galerkin method: the multi-dimensional case
    J. Scientific Computing (JOMP), 63(3), (2015), pp 769-798. DOI: 10.1007/s10915-014-9912-3.
    
    
43. Yiding Lin and V. Simoncini,
    A new subspace iteration method for the algebraic Riccati equation
    Numerical Linear Algebra w/Appl., v.22, n.1, (2015), pp.26-47. DOI: 10.1002/nla.1936
    
    
44. V. Simoncini, Daniel B. Szyld and Marlliny Monsalve,
    On two numerical methods for the solution of large-scale algebraic Riccati equations
    IMA Journal of Numerical Analysis, v.34, n.3, (2014), pp.904-920.
    
    
45. Vladimir Druskin, V. Simoncini and Mikhail Zaslavsky,
    Adaptive tangential interpolation in rational Krylov subspaces for MIMO model reduction data
    SIAM J. Matrix Analysis and Appl., v.35, n.2 (2014), 476-498. DOI: https://doi.org/10.1137/120898784
    
    
46. Claudio Canuto , V. Simoncini and Marco Verani
    On the decay of the inverse of matrices that are sum of Kronecker products
    Linear Algebra and its Applications, Volume 452, 1 July 2014, Pages 21-39.
    
    
47. Stephen Shank and V. Simoncini,
    Krylov subspace methods for large scale constrained Sylvester equations
    SIAM. J. Matrix Anal. and Appl. 34-4 (2013), pp. 1448-1463.
    
    
48. Vladimir Druskin, V. Simoncini and Mikhail Zaslavsky,
    Solution of the time-domain inverse resistivity problem in the model reduction framework Part I. One-dimensional problem with SISO data
    SIAM J. Scient. Comput., v.35 n.3, (2013) pp. A1621-A1640.
    
    
49. Yiding Lin and V. Simoncini,
    Minimal residual methods for large scale Lyapunov equations
    Applied Numerical Mathematics, v.72 (2013), pp.52-71.
    The Matlab code is available here
    
    
50. M. Zaslavsky, V. Druskin, A. Abubakar, T. Habashy, and V. Simoncini
    Large-scale Gauss-Newton inversion of transient CSEM data using the model reduction framework
    Geophysics, v. 78, n. 4 (July-August 2013); pp. E161-E171.
    
    
51. Wolfgang Krendl, V. Simoncini and Walter Zulehner,
    Stability Estimates and Structural Spectral Properties of Saddle Point Problems
    Numerische Mathematik: Volume 124, Issue 1 (2013), Page 183-213.
    
    
52. D. Sesana and V. Simoncini
    Spectral analysis of inexact constraint preconditioning for symmetric saddle point matrices
    Linear Algebra and Appl., v.438 (2013), pp.2683-2700.
    
    
53. Lars Eldén V. Simoncini
    Solving ill-posed Linear Systems with GMRES and a singular Preconditioner
    SIAM J. Matrix Anal. Appl., v.33 (4), (2012), pp.1369--1394.
    
    
54. V. Simoncini
    Reduced order solution of structured linear systems arising in certain PDE-constrained optimization problems
    Computational Optimization and Applications, 53 (2), (2012), pp. 591-617.
    
    
55. Volker Mehrmann , Christian Schröder and V. Simoncini
    An Implicitly-restarted Krylov Method for Real Symmetric/Skew-Symmetric Eigenproblems
    Linear Algebra and Appl., 436 (10), (2012), pp. 4070-4087.
    The software associated with this paper is available here
    
    
56. Tatjana Stykel and V. Simoncini
    Krylov subspace methods for projected Lyapunov equations
    Applied Numerical Mathematics, 62 (2012), pp. 35--50.
    
    
57. Vladimir Druskin, Leonid Knizhnerman and V. Simoncini
    Analysis of the rational Krylov subspace and ADI methods for solving the Lyapunov equation
    SIAM J. Numer. Anal. 49 (2011), pp. 1875-1898.
    
    
58. V. Druskin and V. Simoncini
    Adaptive rational Krylov subspaces for large-scale dynamical systems
    Systems & Control Letters, 60 (2011), pp. 546-560.
    The Matlab code is available here
    
    
59. Leonid Knizhnerman and V. Simoncini,
    Convergence analysis of the Extended Krylov Subspace Method for the Lyapunov equation
    Numerische Mathematik, Volume 118, Issue 3 (2011), Page 567-586.
    
    
60. Gianluca Barbella, Federico Perotti and V. Simoncini
    Block Krylov subspace methods for the computation of structural response to turbulent wind
    Comput. Meth. Applied Mech. Eng. (CMAME), (2011), v. 200(23-24), pp. 2067-2082.
    
    
61. Micol Pennacchio and V. Simoncini
    Fast structured AMG Preconditioning for the bidomain model in electrocardiology
    SIAM J. Scient. Computing., v. 33, n.2, pp. 721-745 (2011).
    
    
62. Liliana Ironi, Luigi Panzeri , Erik Plahte and V. Simoncini
    Dynamics of actively regulated gene networks
    Physica D, 240 (2011), pp.779-794.
    
    
63. David J. Silvester , and V. Simoncini
    An Optimal Iterative Solver for Symmetric Indefinite Systems stemming from Mixed Approximation
    ACM Transactions on Mathematical Software, v.37, n.4, pp.42:1--42:22, (2011).
    
    
64. Michele Benzi, Luis Ferragut , Micol Pennacchio and V. Simoncini
    Solution of Linear Systems from an Optimal Control Problem Arising in Wind Simulation
    J. Numerical Linear Algebra w/Appl., v. 17, n.6, pp.895-915 (2010).
    
    
65. Maxim A. Olshanskii, and V. Simoncini
    Acquired clustering properties and solution of certain saddle point systems
    SIAM. J. Matrix Anal. and Appl. Volume 31, Issue 5, pp. 2754-2768 (2010).
    
    
66. Leonid Knizhnerman and V. Simoncini,
    A new investigation of the extended Krylov subspace method for matrix function evaluations
    Numerical Linear Algebra w/Appl. v.17, n.4, pp.615-638 (2010)
    
    
67. V. Simoncini,
    On a non-stagnation condition for GMRES and application to saddle point matrices
    ETNA Electr. J. Numerical Analysis, v.37, pp. 202-213 (2010)
    
    
68. V. Simoncini and Daniel B. Szyld ,
    Interpreting IDR as a Petrov-Galerkin method
    SIAM J. Scientific Computing. v.32, n.4, pp.1898-1912 (2010).
    
    
69. V. Simoncini and Daniel B. Szyld ,
    On the field of values of oblique projections
    Linear Algebra and its Applications. v.433 n.4, pp. 810-818 (2010).
    
    
70. V. Simoncini,
    The Extended Krylov subspace for parameter dependent systems
    Applied Num. Math. v.60 n.5 (2010) 550-560.
    
    
71. Nick Gould and V. Simoncini,
    Spectral Analysis of saddle point matrices with indefinite leading blocks
    SIAM J. Matrix Analysis Appl., Volume 31, Issue 3, pp. 1152-1171 (2009).
    
    
72. Micol Pennacchio and V. Simoncini,
    Algebraic Multigrid Preconditioners for the Bidomain Reaction--Diffusion system
    Applied Numerical Mathematics. Volume 59, Issue 12, Dec. 2009, pp. 3033-3050.
    
    
73. Lars Eldén and V. Simoncini,
    Solving Ill-Posed Cauchy Problems by a Krylov Subspace Method
    Inverse Problems, v.25, n.6 (June 2009).
    
    
74. V. Simoncini and Vladimir Druskin,
    Convergence analysis of projection methods for the numerical solution of large Lyapunov equations
    SIAM J. Numerical Analysis. Volume 47, Issue 2,pp. 828-843 (2009).
    
    
75. Micol Pennacchio and V. Simoncini,
    Substructuring Preconditioners for Mortar Discretization of a Degenerate Evolution Problem
    Journal of Scientific Computing, v. 36, n. 3, September 2008, pp.391-419.
    
    
76. Marina Popolizio and V. Simoncini,
    Acceleration Techniques for Approximating the Matrix Exponential Operator
    SIAM J. Matrix Analysis and Appl. v.30 n.2 (2008), pp.657-683.
    
    
77. V. Simoncini and Daniel B. Szyld ,
    New conditions for non-stagnation of minimal residual methods
    Numerische Mathematik, v. 109, n.3 (2008), pp. 477-487.
    
    
78. Andreas Frommer and V. Simoncini,
    Stopping criteria for rational matrix functions of Hermitian and symmetric matrices
    SIAM J. Scient. Computing, v.30, n.3 (2008), pp. 1387-1412.
    
    
79. Franco Brezzi , Konstantin Lipnikov , Mikhail Shashkov and V. Simoncini,
    A new discretization methodology for diffusion problems on generalized polyhedral meshes
    Computer Methods in Applied Mechanics and Engineering, Vol. 196, Issues 37-40, 1 August 2007, pp. 3682-3692
    
    
80. V. Simoncini,
    A new iterative method for solving large-scale Lyapunov matrix equations
    SIAM J. Scient. Computing, v.29, n.3 (2007), pp. 1268-1288. (WoS highly cited paper, Sept./Oct. 2016)
    The Matlab code is available here
    
    
81. V. Simoncini and Daniel B. Szyld ,
    Recent computational developments in Krylov Subspace Methods for linear systems
    Numerical Linear Algebra w/Appl., v. 14, n.1 (2007), pp.1-59. (WoS highly cited paper, Sept./Oct. 2016)
    
    
82. Luciano Lopez and V. Simoncini,
    Preserving geometric properties of the exponential matrix by block Krylov subspace methods
    BIT, Numerical Mathematics, v. 46, n.4 (2006), pp. 813-830.
    
    
83. Michele Benzi and V. Simoncini
    On the Eigenvalues of a Class of Saddle Point Matrices
    Numerische Mathematik, v. 103, n.2 (2006), pp. 173-196.
    
    
84. Luciano Lopez and V. Simoncini,
    Analysis of projection methods for rational function approximation to the matrix exponential
    SIAM J. Numerical Analysis, v. 44, n. 2 (2006), pp. 613 - 635.
    
    
85. Guiding Gu and V. Simoncini,
    Numerical solution of parameter-dependent linear systems
    J. Numer. Linear Algebra w/Appl. v. 12, n. 9 (2005), pp. 923-940.
    
    
86. V. Simoncini,
    Variable Accuracy of Matrix-Vector Products in Projection Methods for Eigencomputation
    SIAM J. Numerical Analysis v. 43, n.3 (2005), pp. 1155-1174.
    
    
87. Franco Brezzi , Konstantin Lipnikov and V. Simoncini,
    A family of mimetic finite difference methods on polygonal and polyhedral meshes
    M3AS: Mathematical Models and Methods in Applied Sciences, v.15 n.10 (2005) pp. 1533-1552.
    
    
88. V. Simoncini and Daniel B. Szyld ,
    The effect of non-optimal bases on the convergence of Krylov Subspace Methods
    Numer. Math. v. 100, n.4 (2005), pp. 711-733.
    
    
89. V. Simoncini and Daniel B. Szyld ,
    On the occurrence of Superlinear Convergence of Exact and Inexact Krylov Subspace Methods
    SIAM Review v. 47, n.2 (2005), pp. 247-272.
    
    
90. V. Simoncini and Michele Benzi
    Spectral Properties of the Hermitian and Skew-Hermitian Splitting Preconditioner for Saddle Point Problems
    SIAM J. Matrix Analysis and Appl., v.26, n.2 (2004), pp. 377-389.
    
    
    
91. V. Simoncini,
    Block triangular preconditioners for Symmetric Saddle-Point problems
    Applied Num. Math. v.49, n.1 (2004), pp. 63-80.
    
    
    
92. Micol Pennacchio and V. Simoncini
    The behavior of symmetric Krylov subspace methods for solving M x= (M - γ I)v.
    Linear Algebra and Appl., v.380 (2004), pp.53-71.
    
    
    
93. V. Simoncini and Daniel B. Szyld ,
    Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing
    SIAM J. Scient. Computing, v.25, n.2 (2003), pp. 454-477.
    
    
94. V. Simoncini,
    Restarted Full Orthogonalization Method for shifted linear systems,
    BIT Numerical Mathematics, v.43, n.2 (2003) pp. 459-466.
    
    
95. V. Simoncini,
    Algebraic formulations for the solution of the nullspace-free eigenvalue problem using the inexact Shift-and-Invert Lanczos method
    Numer. Linear Algebra w/Appl. v. 10, n.4 (2003), pp. 357-375.
    
    
96. V. Simoncini and Daniel B. Szyld ,
    Flexible Inner-Outer Krylov Subspace Methods
    SIAM J. Numer. Analysis, v.40 (6) 2003, pp. 2219-2239.
    
    
97. V. Simoncini and F. Perotti,
    On the numerical solution of (λ² A + λ B + C) x = b and application to structural dynamics
    SIAM J. Sci. Comput. v. 23 n.6 (2002) pp. 1876-1898.
    
    
98. M. Pennacchio and V. Simoncini,
    Efficient algebraic solution of reaction--diffusion systems for the cardiac excitation process
    J. Comput. Applied Math., v.145 (1) (2002), pp.49-70.
    
    
99. Miro Rozlozník and V. Simoncini,
    Krylov Subspace Methods for Saddle Point Problems with Indefinite Preconditioning
    SIAM J. Matrix Analysis and Appl., v.24 n.2 (2002) pp. 368-391.
    
    
100. V. Simoncini and Lars Eldén ,
     Inexact Rayleigh quotient-type methods for eigenvalue computations
     BIT Numerical Mathematics, v. 42, n.1 (2002), pp. 159-182.
     
     
101. Ilaria Perugia and V. Simoncini,
     Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations
     Numerical Linear Algebra with Appl. v. 7, n.7--8 (2000), pp. 585--616.
     
     
102. V. Simoncini,
     On the convergence of restarted Krylov subspace methods
     SIAM J. Matrix Analysis and Appl., v.22, n.2, (2000), pp. 430--452.
     
     
     
103. A. Feriani, F. Perotti and V. Simoncini,
     Iterative system solvers for the frequency analysis of linear mechanical systems
     Computer Methods in Applied Mech. and Eng., v. 190, n.13-14 (2000) pp. 1719-1739.
     
     
     
104. V. Simoncini,
     Remarks on non-linear spectral perturbation
     BIT Numerical Mathematics, v. 39, n.2 (1999), pp.350-365.
     
     
     
105. Ilaria Perugia , V. Simoncini and Mario Arioli ,
     Linear Algebra methods in a mixed approximation of magnetostatic problems
     SIAM J. Sci. Comput., v.21, n.3, (1999) pp.1085--1101.
     
     
     
106. V. Simoncini,
     A new variant of restarted GMRES
     Numerical Linear Algebra with Appl., v. 6 (1999), pp. 61-77.
     
     
     
107. V. Simoncini and Stratis Gallopoulos ,
     Transfer functions and Resolvent norm approximation of large matrices
     ETNA, v. 7 (1998), pp. 190--201.
     
     
     
108. V. Simoncini,
     A matrix analysis of Arnoldi and Lanczos methods
     Numer. Math. v. 81 n. 1 (1998), pp. 125-141.
     
     
     
109. V. Simoncini and E. Sjostrom,
     An algorithm for approximating the singular triplets of complex symmetric matrices
     Num. Linear Algebra with Appl., v. 4 (6) (1997) pp.469-489.
     
     
     
110. V. Simoncini,
     A stabilized QMR version of block BiCG
     SIAM J. Matrix Analysis and Appl., v. 18-2 (1997), pp. 419–434.
     
     
111. E. Kasenally and V. Simoncini,
     Analysis of a minimum perturbation algorithm for nonsymmetric linear systems
     SIAM J. Numerical Analysis, v. 34 (1) (1997), pp.48-66.
     
     
112. V. Simoncini,
     On the numerical solution of AX-XB=C
     BIT Numerical Mathematics, v. 36 (4) (1996) pp. 814-830.
     
     
113. V. Simoncini and M. Sadkane,
     Arnoldi-Riccati method for large eigenvalue problems
     BIT Numerical Mathematics, v. 36 (3) (1996) pp. 579-594.
     
     
114. V. Simoncini and Stratis Gallopoulos ,
     A hybrid block GMRES method for nonsymmetric systems with multiple right-hand sides
     J. Comput. Applied Math. v.66 (1996) pp. 457-469.
     
     
115. V. Simoncini and Stratis Gallopoulos ,
     Convergence Properties of Block GMRES and Matrix Polynomials
     Linear Algebra and Appl., v. 247 (1996), pp. 97-119.
     
     
116. V. Simoncini,
     Ritz and Pseudo-Ritz Values Using Matrix Polynomials
     Linear Algebra and Appl., v. 241-3, pp. 787-802 (1996).
     
     
117. V. Simoncini and Stratis Gallopoulos ,
     An Iterative Method for Nonsymmetric Systems with Multiple Right-hand Side
     SIAM J. Scient. Computing, v. 15 (1995) pp.917-933.
     
     
118. T. F. Chan, E. Gallopoulos, V. Simoncini, T. Szeto and C. H. Tong
     A Quasi-Minimal Residual Variant of the Bi-CGSTAB Algorithm for Nonsymmetric Systems
     SIAM J. Scient. Computing, v. 15 (1994) pp. 338-347.
     
     
     

     Papers in Proceedings and books (reverse chronological order)

     
     
     
119. Julian Henning Davide Palitta, V. Simoncini and Karsten Urban
     Matrix oriented reduction of space-time Petrov-Galerkin variational problems.
     In ``Numerical Mathematics and Advanced Applications, ENUMATH 2019'' Proceedings, Springer (2021), pp. 1049-1058.
     
     
120. Alessandro Alla and V. Simoncini
     Order reduction approaches for the algebraic Riccati equation and the LQR problem
     In: Falcone M., Ferretti R., Grüne L., McEneaney W. (eds) Numerical Methods for Optimal Control Problems.
     Springer INdAM Series, vol 29. Springer, Cham (2018), https://doi.org/10.1007/978-3-030-01959-4_5
     
     
121. C. Arcidiacono and V. Simoncini
     Approximate nonnegative matrix factorization algorithm for the analysis of angular differential imaging data
     Proceedings of SPIE - The International Society for Optical Engineering Volume 10703, 2018, Article number 1070331
     Adaptive Optics Systems VI 2018; Austin; United States; 10 June 2018 through 15 June 2018; Code 139576
     
     
122. V. Simoncini
     The Lyapunov matrix equation. Matrix analysis from a computational perspective
     Quaderno UMI n. 55 - Topics in Mathematics, Bologna - UMI 2015 - pag. 157-174.
     
     
123. V. Simoncini,
     Krylov Subspaces
     in The Princeton Companion to Applied Mathematics, Sept. 2015.
     
     
124. Wolfgang Krendl, V. Simoncini and Walter Zulehner,
     Efficient preconditioning for an optimal control problem with the time-periodic Stokes equations
     Proceedings ENUMATH 2013, Numerical Mathematics and Advanced Applications, Springer 2015, pp.479-488.
     
     
125. Mattia Tani and V. Simoncini,
     Refined spectral estimates for preconditioned saddle point linear systems in a non-standard inner product
     ANZIAM J., v.54, pp.C291--C308 (2013), Proceedings of the 16th Biennial Computational Techniques and Applications Conference, CTAC-2012.
     
     
126. V. Simoncini and Daniel B. Szyld ,
     On the Superlinear Convergence of MINRES
     Proceedings ENUMATH 2011, Numerical Mathematics and Advanced Applications 2011, pp. 733-740, Springer (2013).
     
     
127. Micol Pennacchio and V. Simoncini,
     Non-symmetric Algebraic Multigrid Preconditioners for the Bidomain Reaction--Diffusion system
     Proceedings ENUMATH 2009, Numerical Mathematics and Advanced Applications 2009, 729-736, Springer (2010).
     
     
128. Barbella G., Perotti F., Simoncini V.,
     A numerical procedure for the dynamic response of tall buildings subject to turbulent wind excitation
     5th European and African Conference on Wind Engineering, CD-rom proc, Firenze 19-23 July, 2009.
     
     
129. Andreas Frommer and V. Simoncini,
     Error bounds for Lanczos approximations of rational functions of matrices
     in ''Numerical Validation", Mathematics in Industry, Lectures Notes in Computer Science, Annie Cuyt and Walter Kr{\"a}mer and Peter Markstein and Wolfram Luther eds, Springer, 2009, v. 5492, pp.203-216.
     
     
130. Andreas Frommer and V. Simoncini,
     Matrix functions
     in ``Model Order Reduction: Theory, Research Aspects and Applications'', Mathematics in Industry, Schilders, Wil H. A. and van der Vorst, Henk A. eds, Springer, Heidelberg, 2008, pp.275-304.
     
     
131. Micol Pennacchio and V. Simoncini
     Substructuring Preconditioners for the Bidomain Extracellular Potential Problem
     Numerical Mathematics and advanced Applications. Proceedings of ENUMATH 2005, Springer-Verlag (2006), pag. 459-466.
     
     
132. V. Simoncini and Daniel B. Szyld ,
     Relaxed Krylov subspace approximation
     PAMM v. 5, n.1 (Dec. 2005), pp.797-800.
     
     
133. F. Perotti and V. Simoncini,
     Analytical and Numerical Techniques in frequency domain response computation
     Recent Research Developments in Structural Dynamics, A. Luongo Ed. Research Signpost Pub., 2003, pp. 33-54.
     
     
     
134. C. Bekas, E. Kokiopoulou, E. Gallopoulos and V. Simoncini,
     Parallel Computation of Pseudospectra using Transfer Functions on a {\tt MATLAB-MPI} Cluster Platform}
     D. Kranzlmueller, P. Kacsuk, J. Dongarra, J. Volkert (Eds.):
     "Recent Advances in Parallel Virtual Machine and Message Passing Interface"
     Proc. 9th European PVM/MPI Users' Group Meeting, Springer-Verlag, Lecture Notes in Computer Science,
     Vol. 2474, pp.199-207, Linz, Austria, September 29-October 2, 2002.
     
     
135. F. Perotti and V. Simoncini,
     Computational aspects in direct frequency domain analysis
     "Structural Dynamics - EURODYN 2002", Grundmann \& Schueller (eds.) Zwets & Zeitlinger, Lisse (2002), pp. 685-690.
     
     
     
136. A. Feriani, F. Perotti and V. Simoncini,
     Numerical methods for the performance of direct frequency domain analysis,
     {\it Structural Dynamics} - EURODYN '99,
     L. Fryba and J.Naprstek eds, (1999) Balkema, Rotterdam, pp. 145--150,
     
     
     
137. V. Simoncini,
     Linear systems with a quadratic parameter and application to structural dynamics
     in Iterative Methods in Scientific Computation II, IMACS Series in Computational and Applied Mathematics,
     D. Kincaid and A. Elster, eds., vol. 5, 1999, pp. 451-461.
     
     
     
138. V. Simoncini,
     An Iterative Procedure for Computing the Null Basis
     in Iterative Methods in Linear Algebra, II, IMACS Series in Computational and Applied Mathematics, S.~Margenov and P.~Vassilevski, eds., vol.~3, 1996, pp. 413-423.
     
     
     
139. G. Bertero, G. Erbacci, V. Simoncini e M. Iskandarani,
     Implementation of a spectral element method for shallow water equations on the Cray T3D,
     CINECA Report 1995.
     
     
140. G. Erbacci, V. Simoncini, G. Bertero, R. Ansaloni e A. Navarra,
     A spectral finite element model for shallow water equations: implementation experiences on the CRAY T3D,
     Cray Usergroup Proceedings, Denver, March 1995.
     
     
141. E. Gallopoulos and V. Simoncini,
     Iterative solution of multiple linear systems: Theory, practice, parallelism and applications
     Advances in Parallel and Vector Processing for Structural Mechanics: Proc. Second Int'l. Conf. on Computational Structures Technology, eds. B.H.V. Topping and M. Papadrakakis (1994), pp. 47--51.
     
     
142. A. Messina, P. Londrillo, L. Moscardini and V. Simoncini
     Numerical experiments on gravitating systems
     IX Italian Conf. on General Rel. and Grav. Physics,
     Cianci et al. eds, pp. 338-352. World Scientific (Singapore), 1991
     
     
     
     
     

     Other manuscripts

143. Domitilla Brandoni, Margherita Porcelli, and V. Simoncini
     A spectral PALM algorithm for matrix and tensor-train based Dictionary Learning
     pp. 1-26, Dipartimento di Matematica, Universita' di Bologna, July 2021. OO E-Print ID : 2021-07-8516, arXiv: 2107.11644
     
     
144. Gerhard Kirsten and V. Simoncini
     A matrix-oriented POD-DEIM algorithm applied to semilinear matrix differential equations
     pp. 1-25, Dipartimento di Matematica, Universita' di Bologna, June 2020. Latest version May 2021. arXiv preprint n. 2006.13289 [math.NA].
     
     
145. Nicola Guglielmi and V. Simoncini
     On the existence and approximation of a dissipating feedback
     pp. 1-23, Dipartimento di Matematica, Universita' di Bologna, October 2018. arXiv: 1811.00069 [math.NA]
     
     
146. V. Simoncini and Lars Eldén
     An Error Estimate for the Approximation of $\cosh(\sqrt{A})v$ in the {Krylov} Subspace
     Tech. Rep. LiTH-MAT-R-2010/01--SE, Department of Mathematics, Link\"oping University, Jan 2010. (Report not submitted for publication in a Journal)
     
     
147. I. Perugia and V. Simoncini,
     An optimal indefinite preconditioner for a mixed finite element method
     IAN-CNR Tech. Rep. 1098, Nov. 1998.
     

148. V. Simoncini,
     Ph.D. Thesis
     (in Italian) Universita' degli Studi di Padova, 1994
     

149. V. Simoncini and E. Gallopoulos,
     Iterative methods for complex symmetric systems with multiple right-hand sides
     CSRD Tech. Rep. 1322, Dec. 1993.