Submitted Manuscripts (reverse chronological order)

Book

Articles in Refereed Journals (reverse chronological order)

1. 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
   pp. 1-18, October 2011. To appear in SIAM J. Scient. Comput.
   
   
2. 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
   pp. 1-27, Revised version, Dec. 2012. To appear in Geophysics.
   
   
3. V. Simoncini, Daniel B. Szyld and Marlliny Monsalve,
   On two numerical methods for the solution of large-scale algebraic Riccati equations
   pp. 1-15, November 2012. Revised Feb 2013. To appear in IMA Journal of Numerical Analysis.
   
   
4. 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.
   
   
5. 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.
   
   
6. 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.
   
   
7. 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.
   
   
8. 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.
   
   
9. Tatjana Stykel and V. Simoncini
   Krylov subspace methods for projected Lyapunov equations
   Applied Numerical Mathematics, 62 (2012), pp. 35--50.
   
   
10. 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.
    
    
11. V. Druskin and V. Simoncini
    Adaptive rational Krylov subspaces for large-scale dynamical systems
    Systems & Control Letters, 60 (2011), pp. 546-560.
    
    
12. 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.
    
    
13. 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.
    
    
14. 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).
    
    
15. Liliana Ironi, Luigi Panzeri , Erik Plahte and V. Simoncini
    Dynamics of actively regulated gene networks
    Physica D, 240 (2011), pp.779-794.
    
    
16. 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).
    
    
17. 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).
    
    
18. 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).
    
    
19. 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)
    
    
20. 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)
    
    
21. 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).
    
    
22. 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).
    
    
23. V. Simoncini,
    The Extended Krylov subspace for parameter dependent systems
    Applied Num. Math. v.60 n.5 (2010) 550-560.
    
    
24. 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).
    
    
25. 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.
    
    
26. Lars Eldén and V. Simoncini,
    Solving Ill-Posed Cauchy Problems by a Krylov Subspace Method
    Inverse Problems, v.25, n.6 (June 2009).
    
    
27. 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).
    
    
28. 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.
    
    
29. 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.
    
    
30. 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.
    
    
31. 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.
    
    
32. 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
    
    
33. 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.
    
    
34. 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.
    
    
35. 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.
    
    
36. 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.
    
    
37. 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.
    
    
38. 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.
    
    
39. 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.
    
    
40. 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.
    
    
41. 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.
    
    
42. 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.
    
    
43. 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.
    
    
    
44. V. Simoncini,
    Block triangular preconditioners for Symmetric Saddle-Point problems
    Applied Num. Math. v.49, n.1 (2004), pp. 63-80.
    
    
    
45. 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.
    
    
    
46. 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.
    
    
47. V. Simoncini,
    Restarted Full Orthogonalization Method for shifted linear systems,
    BIT Numerical Mathematics, v.43, n.2 (2003) pp. 459-466.
    
    
48. 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.
    
    
49. V. Simoncini and Daniel B. Szyld ,
    Flexible Inner-Outer Krylov Subspace Methods
    SIAM J. Numer. Analysis, v.40 (6) 2003, pp. 2219-2239.
    
    
50. 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.
    
    
51. 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.
    
    
52. 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.
    
    
53. V. Simoncini and Lars Eldén ,
    Inexact Rayleigh quotient-type methods for eigenvalue computations
    BIT Numerical Mathematics, v. 42, n.1 (2002), pp. 159-182.
    
    
54. 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.
    
    
55. V. Simoncini,
    On the convergence of restarted Krylov subspace methods
    SIAM J. Matrix Analysis and Appl., v.22, n.2, (2000), pp. 430--452.
    
    
    
56. 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.
    
    
    
57. V. Simoncini,
    Remarks on non-linear spectral perturbation
    BIT Numerical Mathematics, v. 39, n.2 (1999), pp.350-365.
    
    
    
58. 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.
    
    
    
59. V. Simoncini,
    A new variant of restarted GMRES
    Numerical Linear Algebra with Appl., v. 6 (1999), pp. 61-77.
    
    
    
60. V. Simoncini and Stratis Gallopoulos ,
    Transfer functions and Resolvent norm approximation of large matrices
    ETNA, v. 7 (1998), pp. 190--201.
    
    
    
61. V. Simoncini,
    A matrix analysis of Arnoldi and Lanczos methods
    Numer. Math. v. 81 n. 1 (1998), pp. 125-141.
    
    
    
62. 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.
    
    
    
63. V. Simoncini,
    A stabilized QMR version of block BiCG
    SIAM J. Matrix Analysis and Appl., v. 18-2 (1997), pp. 419–434.
    
    
64. 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.
    
    
65. V. Simoncini,
    On the numerical solution of AX-XB=C
    BIT Numerical Mathematics, v. 36 (4) (1996) pp. 814-830.
    
    
66. V. Simoncini and M. Sadkane,
    Arnoldi-Riccati method for large eigenvalue problems
    BIT Numerical Mathematics, v. 36 (3) (1996) pp. 579-594.
    
    
67. 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.
    
    
68. V. Simoncini and Stratis Gallopoulos ,
    Convergence Properties of Block GMRES and Matrix Polynomials
    Linear Algebra and Appl., v. 247 (1996), pp. 97-119.
    
    
69. V. Simoncini,
    Ritz and Pseudo-Ritz Values Using Matrix Polynomials
    Linear Algebra and Appl., v. 241-3, pp. 787-802 (1996).
    
    
70. 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.
    
    
71. 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)

72. V. Simoncini,
    Krylov Subspaces
    pp.1-2, August 2012. To appear in Princeton Companion to Applied Mathematics, Sep. 2014.
    
    
73. Mattia Tani and V. Simoncini,
    Refined spectral estimates for preconditioned saddle point linear systems in a non-standard inner product
    pp. 1-12, November 2012. To appear in ANZIAM.
    
    
74. 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).
    
    
75. 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).
    
    
76. 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.
    
    
77. 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.
    
    
78. 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.
    
    
79. 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.
    
    
80. V. Simoncini and Daniel B. Szyld ,
    Relaxed Krylov subspace approximation
    PAMM v. 5, n.1 (Dec. 2005), pp.797-800.
    
    
81. 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.
    
    
    
82. 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.
    
    
83. 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.
    
    
    
84. 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,
    
    
    
85. 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.
    
    
    
86. 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.
    
    
    
87. 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.
    
    
88. 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.
    
    
89. 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

90. 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)
91. I. Perugia and V. Simoncini,
    An optimal indefinite preconditioner for a mixed finite element method
    IAN-CNR Tech. Rep. 1098, Nov. 1998.
    

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

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