Contents
-
Gianluca Barbella,
Federico Perotti
and V. Simoncini
Block Krylov subspace methods for the computation of structural response
to turbulent wind
pp.1-26, February 2010.
- V. Simoncini and
Daniel B. Szyld ,
Interpreting IDR as a Petrov-Galerkin method
pp.1-15, October 2009, submitted.
-
V. Simoncini,
On a non-stagnation condition for GMRES and application
to saddle point matrices
September 2009, pp.1-12.
Revised version , Jan. 2010. To appear in ETNA.
-
V. Simoncini,
The Extended Krylov subspace for parameter dependent systems
August 2009, pp.1-13.
Revised version , Nov. 2009. To appear in Applied Num. Math.
- 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.
- 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.
- V. Simoncini and
Daniel B. Szyld ,
Relaxed Krylov subspace approximation
PAMM
v. 5, n.1 (Dec. 2005), pp.797-800.
- 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.
- 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.
- V. Simoncini and D. Szyld,
On the occurrence of Superlinear Convergence of Exact
and Inexact Krylov Subspace Methods
SIAM Review v. 47, n.2 (2005), pp. 247-272.
- V. Simoncini and M. Pennacchio,
The behavior of symmetric Krylov subspace methods for
solving M x= (M - [gamma] I)v.
Linear Algebra and Appl., v.380 (2004), pp.53-71.
- V. Simoncini and D. 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.
- V. Simoncini,
Restarted Full Orthogonalization Method for shifted linear systems,
BIT Numerical Mathematics, v.43, n.2 (2003) pp. 459-466.
- V. Simoncini and D. B. Szyld,
Flexible Inner-Outer Krylov Subspace Methods
SIAM J. Numer. Analysis, v.40 (6) 2003, pp. 2219-2239.
- V. Simoncini and F. Perotti,
On the
numerical solution of $(\lambda^2 A + \lambda B + C) x = b$ and
application to structural dynamics
SIAM J. Sci. Comput. v. 23 n.6 (2002) pp. 1876-1898.
- V. Simoncini,
On the convergence of
restarted Krylov subspace methods
SIAM J. Matrix Analysis and Appl., v.22, n.2, (2000), pp. 430--452.
- V. Simoncini,
A new variant of restarted GMRES
Numerical Linear Algebra with Appl., v. 6 (1999), pp. 61-77.
- 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.
- V. Simoncini,
A stabilized QMR version of block BiCG
SIAM J. Matrix Analysis and Appl., v. 18-2 (1997)
- E. Kasenally and V. Simoncini,
Analysis of a minimum perturbation algorithm
for nonsymmetric linear systems
SIAM J. Numerical Analysis, v. 34 (1) (1997)
- V. Simoncini and E. Gallopoulos,
A hybrid block GMRES method for nonsymmetric
systems with multiple right-hand sides
J. Comput. Applied Math. (1996) pp. 457-469.
- V. Simoncini and E. Gallopoulos,
Convergence Properties of Block GMRES
and Matrix Polynomials
Linear Algebra and Appl., v. 247 (1996), pp. 97-119.
- V. Simoncini and E. Gallopoulos,
An Iterative Method for Nonsymmetric Systems with
Multiple Right-hand Side
SIAM J. Scient. Computing, v. 15 (1995) pp.917-933.
- 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.
- 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.
- Micol Pennacchio
and V. Simoncini,
Non-symmetric Algebraic Multigrid Preconditioners for the Bidomain Reaction--Diffusion system
October 2009, Proceedings ENUMATH 2009, to appear.
- 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.
-
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).
- 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.
-
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.
- V. Simoncini and M. 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.
- V. Simoncini,
Block triangular preconditioners for
Symmetric Saddle-Point problems
Applied Num. Math. v.49, n.1 (2004), pp. 63-80.
- 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.
- M. 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.
- I. 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.
- I. Perugia, V. Simoncini and M. Arioli,
Linear Algebra methods in a mixed
approximation of magnetostatic problems
SIAM J. Sci. Comput., v.21, n.3, (1999) pp.1085--1101.
-
Volker Mehrmann ,
Christian Schröder
and V. Simoncini
An Implicitly-restarted Krylov Method for Real
Symmetric/Skew-Symmetric Eigenproblems
July 2009, pp.1-19. Linear Algebra and Appl. To appear.
- 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.
-
Constantine N. Bekas ,
Stratis Gallopoulos
and V. Simoncini,
Pseudospectra Computation of Large Matrices
January 2004, p.1-26.
- 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.
- 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.
- V. Simoncini and L. Eldén,
Inexact Rayleigh quotient-type
methods for eigenvalue computations
BIT Numerical Mathematics, v. 42, n.1 (2002), pp. 159-182.
- V. Simoncini,
Remarks on non-linear spectral perturbation
BIT Numerical Mathematics, v. 39, n.2 (1999), pp.350-365.
- V. Simoncini and E. Gallopoulos,
Transfer functions and Resolvent
norm approximation of large matrices
ETNA, v. 7 (1998), pp. 190--201.
- V. Simoncini,
A matrix analysis of Arnoldi and
Lanczos methods
Numer. Math. v. 81 n. 1 (1998), pp.125-141.
- 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.
- 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.
- V. Simoncini and M. Sadkane,
Arnoldi-Riccati method for large eigenvalue problems
BIT Numerical Mathematics, v. 36 (3) (1996) pp. 579-594.
- V. Simoncini,
Ritz and Pseudo-Ritz Values Using Matrix Polynomials
Linear Algebra and Appl., v. 241-3, pp. 787-802 (1996).
- V. Simoncini and
Daniel B. Szyld ,
On the field of values of oblique projections
pp.1-9, March 2010, submitted.
-
V. Druskin, V. Simoncini and M. Zaslavsky
Adaptive rational Krylov subspaces for large-scale dynamical systems
pp.1-19, January 2010.
- 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)
-
Leonid Knizhnerman and V. Simoncini,
Convergence analysis of the Extended Krylov Subspace Method for the Lyapunov equation
pp.1-16, December 2009, submitted.
-
Leonid Knizhnerman and
V. Simoncini,
A new investigation of the extended Krylov subspace method
for matrix function evaluations
July 2008, pp. 1-17.
Revised version , January 2009. To appear in
Numerical Linear Algebra w/Appl.
-
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.
- Lars Eldén and V. Simoncini,
Solving Ill-Posed Cauchy Problems by a Krylov Subspace Method
Inverse Problems, v.25, n.6 (June 2009).
- 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).
-
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.
- 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.
-
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.
-
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. and
Rommes, Joost eds, Springer, Heidelberg, 2008, pp.275-304.
-
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.
-
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.
- V. Simoncini,
On the numerical solution of AX-XB=C
BIT Numerical Mathematics, v. 36 (4) (1996) pp. 814-830.
-
Michele
Benzi,
Luis Ferragut, ,
Micol Pennacchio
and V. Simoncini
Solution of Linear Systems from an Optimal Control Problem
Arising in Wind Simulation
January 2009, pp.1-18. Also vailable as Tech. Rep. IMATI-PV-CNR n. 2PV09/0/0
To appear in J. Numerical Linear Algebra w/Appl.
- G. Barbella, F. Perotti and V. Simoncini,
A numerical procedure for the dynamic response of tall buildings
subject to turbulent wind excitation
Extended abstract, EACWE 5 Florence, Italy 19th 23rd July 2009.
- 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.
-
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
-
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.
- 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., pp. 33-54. 2003.
- 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.
- 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,
- 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.
- 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.
- 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
- I. Perugia and V. Simoncini,
An optimal indefinite preconditioner
for a mixed finite element method
IAN-CNR Tech. Rep. 1098, Nov. 1998.
- V. Simoncini,
Ph.D. Thesis
(in Italian) Universita' degli Studi di Padova, 1994
- V. Simoncini and E. Gallopoulos,
Iterative methods for complex symmetric systems with
multiple right-hand sides
CSRD Tech. Rep. 1322, Dec. 1993.