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Simoncini, Valeria

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 Author ID: simoncini.valeria Published as: Simoncini, V.; Simoncini, Valeria External Links: Wikidata · ORCID
 Documents Indexed: 113 Publications since 1994, including 1 Book
all top 5

Co-Authors

 19 single-authored 12 Szyld, Daniel B. 8 Pennacchio, Micol 7 Gallopoulos, Efstratios 6 Benzi, Michele 5 Druskin, Vladimir 4 Tani, Mattia 3 Eldén, Lars 3 Knizhnerman, Leonid 3 Morini, Benedetta 3 Palitta, Davide 3 Perotti, Federico 2 Brezzi, Franco 2 Canuto, Claudio 2 Frommer, Andreas 2 Gould, Nicholas Ian Mark 2 Krendl, Wolfgang 2 Kressner, Daniel 2 Lin, Yiding 2 Lipnikov, Konstantin N. 2 Perugia, Ilaria 2 Porcelli, Margherita 2 Shank, Stephen D. 2 Silvester, David J. 2 Stoll, Martin 2 Verani, Marco 2 Zaslavsky, Mikhail 2 Zulehner, Walter 1 Alla, Alessandro 1 Arioli, Mario 1 Barbella, G. 1 Bekas, Constantine 1 Benner, Peter 1 Brandoni, D. 1 Breiten, Tobias 1 Chan, Tony Fan-Cheong 1 D’Autilia, Maria Chiara 1 Dopico, Froilán M. 1 Faßbender, Heike 1 Feriani, Anna 1 Ferragut, Luis 1 Gaaf, Sarah W. 1 González, Javier Miranda 1 Grasedyck, Lars 1 Gu, Guiding 1 Ironi, Liliana 1 Kasenally, Ebrahim M. 1 Kirsten, Gerhard 1 Kokiopoulou, Efrosini 1 Lopez, Luis E. 1 López, Luis Mateo 1 Mehrmann, Volker 1 Meini, Beatrice 1 Monsalve, Marlliny 1 Olshanskii, Maxim A. 1 Panzeri, Luigi 1 Plahte, Erik 1 Popolizio, Marina 1 Powell, Catherine Elizabeth 1 Pozza, Stefano 1 Rozlozník, Miroslav 1 Sacchi, Giulia 1 Sadkane, Mouhamadou 1 Schröder, Christian 1 Sesana, Debora 1 Sgura, Ivonne 1 Shashkov, Mikhail J. 1 Sjöström, Eva 1 Stykel, Tatjana 1 Szeto, Tedd 1 Tong, Charles H.
all top 5

Serials

 14 SIAM Journal on Scientific Computing 13 SIAM Journal on Matrix Analysis and Applications 11 Numerical Linear Algebra with Applications 8 BIT 8 Numerische Mathematik 7 Linear Algebra and its Applications 6 SIAM Journal on Numerical Analysis 6 Applied Numerical Mathematics 3 Computer Methods in Applied Mechanics and Engineering 3 Journal of Computational and Applied Mathematics 3 ETNA. Electronic Transactions on Numerical Analysis 2 Computers & Mathematics with Applications 2 Journal of Scientific Computing 2 SIAM Review 2 Computational Optimization and Applications 1 IMA Journal of Numerical Analysis 1 Inverse Problems 1 Mathematics of Computation 1 ACM Transactions on Mathematical Software 1 Calcolo 1 Journal of Optimization Theory and Applications 1 Systems & Control Letters 1 Physica D 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Optimization Methods & Software 1 The ANZIAM Journal 1 Lecture Notes in Mathematics 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Bollettino dell’Unione Matematica Italiana
all top 5

Fields

 104 Numerical analysis (65-XX) 29 Linear and multilinear algebra; matrix theory (15-XX) 15 Partial differential equations (35-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Biology and other natural sciences (92-XX) 8 Systems theory; control (93-XX) 4 Fluid mechanics (76-XX) 4 Operations research, mathematical programming (90-XX) 3 Operator theory (47-XX) 2 General and overarching topics; collections (00-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Geophysics (86-XX)

Citations contained in zbMATH

98 Publications have been cited 2,005 times in 1,267 Documents Cited by Year
A family of mimetic finite difference methods on polygonal and polyhedral meshes. Zbl 1083.65099
Brezzi, Franco; Lipnikov, Konstantin; Simoncini, Valeria
2005
A new iterative method for solving large-scale Lyapunov matrix equations. Zbl 1146.65038
Simoncini, V.
2007
Recent computational developments in Krylov subspace methods for linear systems. Zbl 1199.65112
Simoncini, Valeria; Szyld, Daniel B.
2007
Computational methods for linear matrix equations. Zbl 1386.65124
Simoncini, V.
2016
Iterative system solvers for the frequency analysis of linear mechanical systems. Zbl 0981.70005
Feriani, A.; Perotti, F.; Simoncini, V.
2000
A new discretization methodology for diffusion problems on generalized polyhedral meshes. Zbl 1173.76370
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail; Simoncini, Valeria
2007
Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations. Zbl 1051.65038
Perugia, I.; Simoncini, V.
2000
Block triangular preconditioners for symmetric saddle-point problems. Zbl 1053.65033
Simoncini, V.
2004
On the eigenvalues of a class of saddle point matrices. Zbl 1103.65033
Benzi, Michele; Simoncini, Valeria
2006
Adaptive rational Krylov subspaces for large-scale dynamical systems. Zbl 1236.93035
Druskin, V.; Simoncini, V.
2011
Spectral properties of the Hermitian and skew-Hermitian splitting preconditioner for saddle point problems. Zbl 1083.65047
Simoncini, Valeria; Benzi, Michele
2004
Theory of inexact Krylov subspace methods and applications to scientific computing. Zbl 1048.65032
Simoncini, Valeria; Szyld, Daniel B.
2003
An iterative method for nonsymmetric systems with multiple right-hand sides. Zbl 0831.65037
Simoncini, V.; Gallopoulos, E.
1995
Convergence properties of block GMRES and matrix polynomials. Zbl 0861.65023
Simoncini, V.; Gallopoulos, E.
1996
A new investigation of the extended Krylov subspace method for matrix function evaluations. Zbl 1240.65154
Knizhnerman, L.; Simoncini, V.
2010
Krylov subspace methods for saddle point problems with indefinite preconditioning. Zbl 1021.65016
Rozlozník, M.; Simoncini, V.
2002
Analysis of the rational Krylov subspace and ADI methods for solving the Lyapunov equation. Zbl 1244.65060
Druskin, Vladimir; Knizhnerman, Leonid; Simoncini, Valeria
2011
Inexact Rayleigh quotient-type methods for eigenvalue computations. Zbl 1003.65033
Simoncini, Valeria; Eldén, Lars
2002
A quasi-minimal residual variant of the Bi-CGSTAB algorithm for nonsymmetric systems. Zbl 0803.65038
Chan, T. F.; Gallopoulos, E.; Simoncini, V.; Szeto, T.; Tong, C. H.
1994
Flexible inner-outer Krylov subspace methods. Zbl 1047.65021
Simoncini, Valeria; Szyld, Daniel B.
2003
Restarted full orthogonalization method for shifted linear systems. Zbl 1033.65015
Simoncini, V.
2003
On the numerical solution of $$AX-XB=C$$. Zbl 0863.65022
Simoncini, V.
1996
Analysis of projection methods for rational function approximation to the matrix exponential. Zbl 1158.65031
Lopez, L.; Simoncini, V.
2006
On two numerical methods for the solution of large-scale algebraic Riccati equations. Zbl 1298.65083
Simoncini, Valeria; Szyld, Daniel B.; Monsalve, Marlliny
2014
Stability estimates and structural spectral properties of saddle point problems. Zbl 1269.65032
Krendl, Wolfgang; Simoncini, Valeria; Zulehner, Walter
2013
Acceleration techniques for approximating the matrix exponential operator. Zbl 1168.65021
Popolizio, M.; Simoncini, V.
2008
Matrix functions. Zbl 1153.65333
Frommer, Andreas; Simoncini, Valeria
2008
On the occurrence of superlinear convergence of exact and inexact Krylov subspace methods. Zbl 1079.65034
Simoncini, Valeria; Szyld, Daniel B.
2005
Low-rank solvers for fractional differential equations. Zbl 1338.65071
Breiten, Tobias; Simoncini, Valeria; Stoll, Martin
2016
On the numerical solution of $$(\lambda^2 A + \lambda B + C)x = b$$ and application to structural dynamics. Zbl 1018.65043
Simoncini, V.; Perotti, F.
2002
Dynamics of actively regulated gene networks. Zbl 1218.92040
Ironi, Liliana; Panzeri, Luigi; Plahte, Erik; Simoncini, Valeria
2011
Preserving geometric properties of the exponential matrix by block Krylov subspace methods. Zbl 1107.65039
Lopez, L.; Simoncini, V.
2006
Efficient algebraic solution of reaction-diffusion systems for the cardiac excitation process. Zbl 1006.65102
Pennacchio, Micol; Simoncini, Valeria
2002
Adaptive tangential interpolation in rational Krylov subspaces for MIMO dynamical systems. Zbl 1314.65085
Druskin, V.; Simoncini, V.; Zaslavsky, M.
2014
Convergence analysis of the extended Krylov subspace method for the Lyapunov equation. Zbl 1230.65055
Knizhnerman, L.; Simoncini, V.
2011
Stopping criteria for rational matrix functions of Hermitian and symmetric matrices. Zbl 1203.65079
Frommer, Andreas; Simoncini, Valeria
2008
A hybrid block GMRES method for nonsymmetric systems with multiple right-hand sides. Zbl 0859.65021
Simoncini, V.; Gallopoulos, E.
1996
A new subspace iteration method for the algebraic Riccati equation. Zbl 1363.65076
Lin, Yiding; Simoncini, Valeria
2015
Decay bounds for functions of Hermitian matrices with banded or Kronecker structure. Zbl 1323.15005
Benzi, Michele; Simoncini, Valeria
2015
Spectral analysis of saddle point matrices with indefinite leading blocks. Zbl 1200.15007
Gould, N. I. M.; Simoncini, V.
2010
Algebraic multigrid preconditioners for the bidomain reaction-diffusion system. Zbl 1171.92017
Pennacchio, Micol; Simoncini, Valeria
2009
A stabilized QMR version of block BICG. Zbl 0872.65024
Simoncini, V.
1997
On the decay of the inverse of matrices that are sum of Kronecker products. Zbl 1291.65144
Canuto, C.; Simoncini, V.; Verani, M.
2014
Minimal residual methods for large scale Lyapunov equations. Zbl 1302.65106
Lin, Yiding; Simoncini, Valeria
2013
Variable accuracy of matrix-vector products in projection methods for eigencomputation. Zbl 1093.65037
Simoncini, V.
2005
Analysis of the rational Krylov subspace projection method for large-scale algebraic Riccati equations. Zbl 06655499
Simoncini, V.
2016
Preconditioning of active-set Newton methods for PDE-constrained optimal control problems. Zbl 1325.65066
Porcelli, Margherita; Simoncini, Valeria; Tani, Mattia
2015
Krylov subspace methods for projected Lyapunov equations. Zbl 1258.65044
Stykel, T.; Simoncini, V.
2012
Matrix-equation-based strategies for convection-diffusion equations. Zbl 1341.65042
Palitta, Davide; Simoncini, Valeria
2016
Interpreting IDR as a Petrov-Galerkin method. Zbl 1219.65039
Simoncini, Valeria; Szyld, Daniel B.
2010
An optimal iterative solver for symmetric indefinite systems stemming from mixed approximation. Zbl 1365.65085
Silvester, David J.; Simoncini, Valeria
2011
Convergence analysis of projection methods for the numerical solution of large Lyapunov equations. Zbl 1195.65058
Simoncini, V.; Druskin, V.
2009
Extended Krylov subspace for parameter dependent systems. Zbl 1190.65052
Simoncini, V.
2010
On the convergence of restarted Krylov subspace methods. Zbl 0969.65023
Simoncini, V.
2000
A comparison of reduced and unreduced KKT systems arising from interior point methods. Zbl 1406.90088
Morini, Benedetta; Simoncini, Valeria; Tani, Mattia
2017
An efficient reduced basis solver for stochastic Galerkin matrix equations. Zbl 1381.35257
Powell, C. E.; Silvester, D.; Simoncini, V.
2017
Efficient low-rank solution of generalized Lyapunov equations. Zbl 1348.65078
Shank, Stephen D.; Simoncini, Valeria; Szyld, Daniel B.
2016
Spectral analysis of inexact constraint preconditioning for symmetric saddle point matrices. Zbl 1263.65029
Sesana, Debora; Simoncini, Valeria
2013
Reduced order solution of structured linear systems arising in certain PDE-constrained optimization problems. Zbl 1266.49061
Simoncini, V.
2012
Fast structured AMG preconditioning for the bidomain model in electrocardiology. Zbl 1227.92034
Pennacchio, Micol; Simoncini, Valeria
2011
Solution of the time-domain inverse resistivity problem in the model reduction framework. I. One-dimensional problem with SISO data. Zbl 1273.35313
Druskin, V.; Simoncini, V.; Zaslavsky, M.
2013
A numerical solution of a Cauchy problem for an elliptic equation by Krylov subspaces. Zbl 1169.65089
Eldén, Lars; Simoncini, Valeria
2009
New conditions for non-stagnation of minimal residual methods. Zbl 1151.65026
Simoncini, Valeria; Szyld, Daniel B.
2008
Solving ill-posed linear systems with GMRES and a singular preconditioner. Zbl 1263.65033
Eldén, Lars; Simoncini, Valeria
2012
An implicitly-restarted Krylov subspace method for real symmetric/skew-symmetric eigenproblems. Zbl 1247.65050
Mehrmann, Volker; Schröder, C.; Simoncini, Valeria
2012
Linear algebra methods in a mixed approximation of magnetostatic problems. Zbl 1040.78012
Perugia, I.; Simoncini, V.; Arioli, M.
1999
The effect of non-optimal bases on the convergence of Krylov subspace methods. Zbl 1118.65022
Simoncini, Valeria; Szyld, Daniel B.
2005
Algebraic formulations for the solution of the nullspace-free eigenvalue problem using the inexact Shift-and-Invert Lanczos method. Zbl 1071.65517
Simoncini, V.
2003
Spectral estimates for unreduced symmetric KKT systems arising from interior point methods. Zbl 1413.65246
Morini, Benedetta; Simoncini, Valeria; Tani, Mattia
2016
Projection methods for large-scale T-Sylvester equations. Zbl 1352.65127
Dopico, Froilán M.; González, Javier; Kressner, Daniel; Simoncini, Valeria
2016
Contraction and optimality properties of an adaptive Legendre-Galerkin method: the multi-dimensional case. Zbl 1325.65151
Canuto, Claudio; Simoncini, Valeria; Verani, Marco
2015
Arnoldi-Riccati method for large eigenvalue problems. Zbl 0856.65035
1996
Numerical methods for large-scale Lyapunov equations with symmetric banded data. Zbl 1416.65119
Palitta, Davide; Simoncini, Valeria
2018
Approximation of functions of large matrices with Kronecker structure. Zbl 1365.65134
Benzi, Michele; Simoncini, Valeria
2017
Krylov subspace methods for large-scale constrained Sylvester equations. Zbl 1285.93038
Shank, Stephen D.; Simoncini, Valeria
2013
Numerical solution of parameter-dependent linear systems. Zbl 1164.65345
Gu, G.-D.; Simoncini, V.
2005
A new variant of restarted GMRES. Zbl 0983.65033
Simoncini, V.
1999
Remarks on nonlinear spectral perturbation. Zbl 0937.65043
Simoncini, V.
1999
Analysis of a minimum perturbation algorithm for nonsymmetric linear systems. Zbl 0873.65029
Kasenally, Ebrahim M.; Simoncini, Valeria
1997
Computationally enhanced projection methods for symmetric Sylvester and Lyapunov matrix equations. Zbl 06802855
Palitta, Davide; Simoncini, Valeria
2018
Preconditioning PDE-constrained optimization with $$L^1$$-sparsity and control constraints. Zbl 1393.49022
Porcelli, Margherita; Simoncini, Valeria; Stoll, Martin
2017
Efficient preconditioning for an optimal control problem with the time-periodic Stokes equations. Zbl 1320.65100
Krendl, Wolfgang; Simoncini, Valeria; Zulehner, Walter
2015
Acquired clustering properties and solution of certain saddle point systems. Zbl 1213.65060
Olshanskii, M. A.; Simoncini, V.
2010
Transfer functions and resolvent norm approximation of large matrices. Zbl 0915.65029
Simoncini, V.; Gallopoulos, E.
1998
Error estimates for iterative algorithms for minimizing regularized quadratic subproblems. Zbl 1428.90160
Gould, Nicholas I. M.; Simoncini, Valeria
2020
Approximating the leading singular triplets of a large matrix function. Zbl 1355.65062
Gaaf, Sarah W.; Simoncini, Valeria
2017
Solution of linear systems from an optimal control problem arising in wind simulation. Zbl 1240.65194
Benzi, Michele; Ferragut, Luis; Pennacchio, Micol; Simoncini, Valeria
2010
On a non-stagnation condition for GMRES and application to saddle point matrices. Zbl 1206.65136
Simoncini, Valeria
2010
Substructuring preconditioners for mortar discretization of a degenerate evolution problem. Zbl 1203.65173
Pennacchio, Micol; Simoncini, Valeria
2008
Ritz and pseudo-Ritz values using matrix polynomials. Zbl 0856.65036
Simoncini, V.
1996
Inexact Arnoldi residual estimates and decay properties for functions of non-Hermitian matrices. Zbl 1434.65058
Pozza, Stefano; Simoncini, Valeria
2019
On the superlinear convergence of MINRES. Zbl 1267.65040
Simoncini, V.; Szyld, D. B.
2013
Block Krylov subspace methods for the computation of structural response to turbulent wind. Zbl 1228.74033
Barbella, G.; Perotti, F.; Simoncini, V.
2011
Non-symmetric algebraic multigrid preconditioners for the bidomain reaction-diffusion system. Zbl 1402.65108
Pennacchio, Micol; Simoncini, Valeria
2010
On the field of values of oblique projections. Zbl 1195.47003
Simoncini, Valeria; Szyld, Daniel B.
2010
Relaxed Krylov subspace approximation. Zbl 1391.65074
Simoncini, Valeria; Szyld, Daniel B.
2005
A matrix analysis of Arnoldi and Lanczos methods. Zbl 0918.65024
Simoncini, V.
1998
Block iterative methods and matrix equations. Zbl 0819.65044
Simoncini, V.; Gallopoulos, E.
1994
Error estimates for iterative algorithms for minimizing regularized quadratic subproblems. Zbl 1428.90160
Gould, Nicholas I. M.; Simoncini, Valeria
2020
Inexact Arnoldi residual estimates and decay properties for functions of non-Hermitian matrices. Zbl 1434.65058
Pozza, Stefano; Simoncini, Valeria
2019
Numerical methods for large-scale Lyapunov equations with symmetric banded data. Zbl 1416.65119
Palitta, Davide; Simoncini, Valeria
2018
Computationally enhanced projection methods for symmetric Sylvester and Lyapunov matrix equations. Zbl 06802855
Palitta, Davide; Simoncini, Valeria
2018
A comparison of reduced and unreduced KKT systems arising from interior point methods. Zbl 1406.90088
Morini, Benedetta; Simoncini, Valeria; Tani, Mattia
2017
An efficient reduced basis solver for stochastic Galerkin matrix equations. Zbl 1381.35257
Powell, C. E.; Silvester, D.; Simoncini, V.
2017
Approximation of functions of large matrices with Kronecker structure. Zbl 1365.65134
Benzi, Michele; Simoncini, Valeria
2017
Preconditioning PDE-constrained optimization with $$L^1$$-sparsity and control constraints. Zbl 1393.49022
Porcelli, Margherita; Simoncini, Valeria; Stoll, Martin
2017
Approximating the leading singular triplets of a large matrix function. Zbl 1355.65062
Gaaf, Sarah W.; Simoncini, Valeria
2017
Computational methods for linear matrix equations. Zbl 1386.65124
Simoncini, V.
2016
Low-rank solvers for fractional differential equations. Zbl 1338.65071
Breiten, Tobias; Simoncini, Valeria; Stoll, Martin
2016
Analysis of the rational Krylov subspace projection method for large-scale algebraic Riccati equations. Zbl 06655499
Simoncini, V.
2016
Matrix-equation-based strategies for convection-diffusion equations. Zbl 1341.65042
Palitta, Davide; Simoncini, Valeria
2016
Efficient low-rank solution of generalized Lyapunov equations. Zbl 1348.65078
Shank, Stephen D.; Simoncini, Valeria; Szyld, Daniel B.
2016
Spectral estimates for unreduced symmetric KKT systems arising from interior point methods. Zbl 1413.65246
Morini, Benedetta; Simoncini, Valeria; Tani, Mattia
2016
Projection methods for large-scale T-Sylvester equations. Zbl 1352.65127
Dopico, Froilán M.; González, Javier; Kressner, Daniel; Simoncini, Valeria
2016
A new subspace iteration method for the algebraic Riccati equation. Zbl 1363.65076
Lin, Yiding; Simoncini, Valeria
2015
Decay bounds for functions of Hermitian matrices with banded or Kronecker structure. Zbl 1323.15005
Benzi, Michele; Simoncini, Valeria
2015
Preconditioning of active-set Newton methods for PDE-constrained optimal control problems. Zbl 1325.65066
Porcelli, Margherita; Simoncini, Valeria; Tani, Mattia
2015
Contraction and optimality properties of an adaptive Legendre-Galerkin method: the multi-dimensional case. Zbl 1325.65151
Canuto, Claudio; Simoncini, Valeria; Verani, Marco
2015
Efficient preconditioning for an optimal control problem with the time-periodic Stokes equations. Zbl 1320.65100
Krendl, Wolfgang; Simoncini, Valeria; Zulehner, Walter
2015
On two numerical methods for the solution of large-scale algebraic Riccati equations. Zbl 1298.65083
Simoncini, Valeria; Szyld, Daniel B.; Monsalve, Marlliny
2014
Adaptive tangential interpolation in rational Krylov subspaces for MIMO dynamical systems. Zbl 1314.65085
Druskin, V.; Simoncini, V.; Zaslavsky, M.
2014
On the decay of the inverse of matrices that are sum of Kronecker products. Zbl 1291.65144
Canuto, C.; Simoncini, V.; Verani, M.
2014
Stability estimates and structural spectral properties of saddle point problems. Zbl 1269.65032
Krendl, Wolfgang; Simoncini, Valeria; Zulehner, Walter
2013
Minimal residual methods for large scale Lyapunov equations. Zbl 1302.65106
Lin, Yiding; Simoncini, Valeria
2013
Spectral analysis of inexact constraint preconditioning for symmetric saddle point matrices. Zbl 1263.65029
Sesana, Debora; Simoncini, Valeria
2013
Solution of the time-domain inverse resistivity problem in the model reduction framework. I. One-dimensional problem with SISO data. Zbl 1273.35313
Druskin, V.; Simoncini, V.; Zaslavsky, M.
2013
Krylov subspace methods for large-scale constrained Sylvester equations. Zbl 1285.93038
Shank, Stephen D.; Simoncini, Valeria
2013
On the superlinear convergence of MINRES. Zbl 1267.65040
Simoncini, V.; Szyld, D. B.
2013
Krylov subspace methods for projected Lyapunov equations. Zbl 1258.65044
Stykel, T.; Simoncini, V.
2012
Reduced order solution of structured linear systems arising in certain PDE-constrained optimization problems. Zbl 1266.49061
Simoncini, V.
2012
Solving ill-posed linear systems with GMRES and a singular preconditioner. Zbl 1263.65033
Eldén, Lars; Simoncini, Valeria
2012
An implicitly-restarted Krylov subspace method for real symmetric/skew-symmetric eigenproblems. Zbl 1247.65050
Mehrmann, Volker; Schröder, C.; Simoncini, Valeria
2012
Adaptive rational Krylov subspaces for large-scale dynamical systems. Zbl 1236.93035
Druskin, V.; Simoncini, V.
2011
Analysis of the rational Krylov subspace and ADI methods for solving the Lyapunov equation. Zbl 1244.65060
Druskin, Vladimir; Knizhnerman, Leonid; Simoncini, Valeria
2011
Dynamics of actively regulated gene networks. Zbl 1218.92040
Ironi, Liliana; Panzeri, Luigi; Plahte, Erik; Simoncini, Valeria
2011
Convergence analysis of the extended Krylov subspace method for the Lyapunov equation. Zbl 1230.65055
Knizhnerman, L.; Simoncini, V.
2011
An optimal iterative solver for symmetric indefinite systems stemming from mixed approximation. Zbl 1365.65085
Silvester, David J.; Simoncini, Valeria
2011
Fast structured AMG preconditioning for the bidomain model in electrocardiology. Zbl 1227.92034
Pennacchio, Micol; Simoncini, Valeria
2011
Block Krylov subspace methods for the computation of structural response to turbulent wind. Zbl 1228.74033
Barbella, G.; Perotti, F.; Simoncini, V.
2011
A new investigation of the extended Krylov subspace method for matrix function evaluations. Zbl 1240.65154
Knizhnerman, L.; Simoncini, V.
2010
Spectral analysis of saddle point matrices with indefinite leading blocks. Zbl 1200.15007
Gould, N. I. M.; Simoncini, V.
2010
Interpreting IDR as a Petrov-Galerkin method. Zbl 1219.65039
Simoncini, Valeria; Szyld, Daniel B.
2010
Extended Krylov subspace for parameter dependent systems. Zbl 1190.65052
Simoncini, V.
2010
Acquired clustering properties and solution of certain saddle point systems. Zbl 1213.65060
Olshanskii, M. A.; Simoncini, V.
2010
Solution of linear systems from an optimal control problem arising in wind simulation. Zbl 1240.65194
Benzi, Michele; Ferragut, Luis; Pennacchio, Micol; Simoncini, Valeria
2010
On a non-stagnation condition for GMRES and application to saddle point matrices. Zbl 1206.65136
Simoncini, Valeria
2010
Non-symmetric algebraic multigrid preconditioners for the bidomain reaction-diffusion system. Zbl 1402.65108
Pennacchio, Micol; Simoncini, Valeria
2010
On the field of values of oblique projections. Zbl 1195.47003
Simoncini, Valeria; Szyld, Daniel B.
2010
Algebraic multigrid preconditioners for the bidomain reaction-diffusion system. Zbl 1171.92017
Pennacchio, Micol; Simoncini, Valeria
2009
Convergence analysis of projection methods for the numerical solution of large Lyapunov equations. Zbl 1195.65058
Simoncini, V.; Druskin, V.
2009
A numerical solution of a Cauchy problem for an elliptic equation by Krylov subspaces. Zbl 1169.65089
Eldén, Lars; Simoncini, Valeria
2009
Acceleration techniques for approximating the matrix exponential operator. Zbl 1168.65021
Popolizio, M.; Simoncini, V.
2008
Matrix functions. Zbl 1153.65333
Frommer, Andreas; Simoncini, Valeria
2008
Stopping criteria for rational matrix functions of Hermitian and symmetric matrices. Zbl 1203.65079
Frommer, Andreas; Simoncini, Valeria
2008
New conditions for non-stagnation of minimal residual methods. Zbl 1151.65026
Simoncini, Valeria; Szyld, Daniel B.
2008
Substructuring preconditioners for mortar discretization of a degenerate evolution problem. Zbl 1203.65173
Pennacchio, Micol; Simoncini, Valeria
2008
A new iterative method for solving large-scale Lyapunov matrix equations. Zbl 1146.65038
Simoncini, V.
2007
Recent computational developments in Krylov subspace methods for linear systems. Zbl 1199.65112
Simoncini, Valeria; Szyld, Daniel B.
2007
A new discretization methodology for diffusion problems on generalized polyhedral meshes. Zbl 1173.76370
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail; Simoncini, Valeria
2007
On the eigenvalues of a class of saddle point matrices. Zbl 1103.65033
Benzi, Michele; Simoncini, Valeria
2006
Analysis of projection methods for rational function approximation to the matrix exponential. Zbl 1158.65031
Lopez, L.; Simoncini, V.
2006
Preserving geometric properties of the exponential matrix by block Krylov subspace methods. Zbl 1107.65039
Lopez, L.; Simoncini, V.
2006
A family of mimetic finite difference methods on polygonal and polyhedral meshes. Zbl 1083.65099
Brezzi, Franco; Lipnikov, Konstantin; Simoncini, Valeria
2005
On the occurrence of superlinear convergence of exact and inexact Krylov subspace methods. Zbl 1079.65034
Simoncini, Valeria; Szyld, Daniel B.
2005
Variable accuracy of matrix-vector products in projection methods for eigencomputation. Zbl 1093.65037
Simoncini, V.
2005
The effect of non-optimal bases on the convergence of Krylov subspace methods. Zbl 1118.65022
Simoncini, Valeria; Szyld, Daniel B.
2005
Numerical solution of parameter-dependent linear systems. Zbl 1164.65345
Gu, G.-D.; Simoncini, V.
2005
Relaxed Krylov subspace approximation. Zbl 1391.65074
Simoncini, Valeria; Szyld, Daniel B.
2005
Block triangular preconditioners for symmetric saddle-point problems. Zbl 1053.65033
Simoncini, V.
2004
Spectral properties of the Hermitian and skew-Hermitian splitting preconditioner for saddle point problems. Zbl 1083.65047
Simoncini, Valeria; Benzi, Michele
2004
Theory of inexact Krylov subspace methods and applications to scientific computing. Zbl 1048.65032
Simoncini, Valeria; Szyld, Daniel B.
2003
Flexible inner-outer Krylov subspace methods. Zbl 1047.65021
Simoncini, Valeria; Szyld, Daniel B.
2003
Restarted full orthogonalization method for shifted linear systems. Zbl 1033.65015
Simoncini, V.
2003
Algebraic formulations for the solution of the nullspace-free eigenvalue problem using the inexact Shift-and-Invert Lanczos method. Zbl 1071.65517
Simoncini, V.
2003
Krylov subspace methods for saddle point problems with indefinite preconditioning. Zbl 1021.65016
Rozlozník, M.; Simoncini, V.
2002
Inexact Rayleigh quotient-type methods for eigenvalue computations. Zbl 1003.65033
Simoncini, Valeria; Eldén, Lars
2002
On the numerical solution of $$(\lambda^2 A + \lambda B + C)x = b$$ and application to structural dynamics. Zbl 1018.65043
Simoncini, V.; Perotti, F.
2002
Efficient algebraic solution of reaction-diffusion systems for the cardiac excitation process. Zbl 1006.65102
Pennacchio, Micol; Simoncini, Valeria
2002
Iterative system solvers for the frequency analysis of linear mechanical systems. Zbl 0981.70005
Feriani, A.; Perotti, F.; Simoncini, V.
2000
Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations. Zbl 1051.65038
Perugia, I.; Simoncini, V.
2000
On the convergence of restarted Krylov subspace methods. Zbl 0969.65023
Simoncini, V.
2000
Linear algebra methods in a mixed approximation of magnetostatic problems. Zbl 1040.78012
Perugia, I.; Simoncini, V.; Arioli, M.
1999
A new variant of restarted GMRES. Zbl 0983.65033
Simoncini, V.
1999
Remarks on nonlinear spectral perturbation. Zbl 0937.65043
Simoncini, V.
1999
Transfer functions and resolvent norm approximation of large matrices. Zbl 0915.65029
Simoncini, V.; Gallopoulos, E.
1998
A matrix analysis of Arnoldi and Lanczos methods. Zbl 0918.65024
Simoncini, V.
1998
A stabilized QMR version of block BICG. Zbl 0872.65024
Simoncini, V.
1997
Analysis of a minimum perturbation algorithm for nonsymmetric linear systems. Zbl 0873.65029
Kasenally, Ebrahim M.; Simoncini, Valeria
1997
Convergence properties of block GMRES and matrix polynomials. Zbl 0861.65023
Simoncini, V.; Gallopoulos, E.
1996
On the numerical solution of $$AX-XB=C$$. Zbl 0863.65022
Simoncini, V.
1996
A hybrid block GMRES method for nonsymmetric systems with multiple right-hand sides. Zbl 0859.65021
Simoncini, V.; Gallopoulos, E.
1996
Arnoldi-Riccati method for large eigenvalue problems. Zbl 0856.65035
1996
Ritz and pseudo-Ritz values using matrix polynomials. Zbl 0856.65036
Simoncini, V.
1996
An iterative method for nonsymmetric systems with multiple right-hand sides. Zbl 0831.65037
Simoncini, V.; Gallopoulos, E.
1995
A quasi-minimal residual variant of the Bi-CGSTAB algorithm for nonsymmetric systems. Zbl 0803.65038
Chan, T. F.; Gallopoulos, E.; Simoncini, V.; Szeto, T.; Tong, C. H.
1994
Block iterative methods and matrix equations. Zbl 0819.65044
Simoncini, V.; Gallopoulos, E.
1994
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Cited by 1,623 Authors

 50 Simoncini, Valeria 37 Benner, Peter 35 Zhang, Guofeng 31 Huang, Ting-Zhu 26 Jbilou, Khalide 24 Ma, Changfeng 20 Liang, Zhao-Zheng 18 Axelsson, Axel Owe Holger 18 Lipnikov, Konstantin N. 16 Manzini, Gianmarco 16 Szyld, Daniel B. 16 Wu, Shiliang 15 Kürschner, Patrick 15 Li, Cuixia 14 Beirão da Veiga, Lourenço 14 Benzi, Michele 13 Kressner, Daniel 12 Antonietti, Paola Francesca 12 Brezzi, Franco 12 Droniou, Jérôme 12 Saak, Jens 11 Bentbib, Abdeslem Hafid 11 Cao, Yang 11 Huang, Na 11 Jing, Yanfei 11 Khojasteh Salkuyeh, Davod 11 Verani, Marco 10 Bai, Zhongzhi 10 Bergamaschi, Luca 10 Heyouni, Mohammed 10 Wu, Yujiang 10 Yang, Aili 9 Carpentieri, Bruno 9 Gondzio, Jacek 9 Güttel, Stefan 9 Massei, Stefano 9 Reichel, Lothar 9 Sogabe, Tomohiro 9 Toutounian, Faezeh 9 Wu, Jiming 9 Zhang, Jianhua 8 Di Pietro, Daniele Antonio 8 Fan, Hongtao 8 Gu, Xian-Ming 8 Liao, Lidan 8 Pearson, John W. 8 Robol, Leonardo 8 Sleijpen, Gerard L. G. 8 Stoll, Martin 8 Van Gijzen, Martin Bastiaan 7 Cao, Zhihao 7 Frommer, Andreas 7 Hajarian, Masoud 7 Jia, Zhongxiao 7 Mehrmann, Volker 7 Pestana, Jennifer 7 Shashkov, Mikhail J. 7 Shen, Shuqian 7 Wathen, Andrew John 7 Wu, Gang 7 Zhang, Shao-Liang 7 Zheng, Bing 6 Chen, Guoliang 6 Cui, Jingjing 6 Dai, Hua 6 Ferronato, Massimiliano 6 Freitag, Melina A. 6 Garrappa, Roberto 6 Gu, Chuanqing 6 Gugercin, Serkan 6 Huang, Zhengge 6 Jiang, Nan 6 King-wah Chu, Eric 6 Li, Chengliang 6 Moret, Igor 6 Morini, Benedetta 6 Moulton, J. David 6 Niu, Qiang 6 Russo, Alessandro 6 Sadkane, Miloud 6 Schweitzer, Marcel 6 Svyatskiy, Daniil 6 Tani, Mattia 6 Vanroose, Wim 6 Wang, Xiang 6 Wei, Yimin 6 Zheng, Qingqing 5 Bujanović, Zvonimir 5 Cools, Siegfried 5 De Simone, Valentina 5 di Serafino, Daniela 5 Druskin, Vladimir 5 Du, Lei 5 Durastante, Fabio 5 Elman, Howard C. 5 Fan, Hung-Yuan 5 Gratton, Serge 5 Gu, Guiding 5 Hached, Mehrez 5 Imakura, Akira ...and 1,523 more Authors
all top 5

Cited in 162 Serials

 124 Journal of Computational and Applied Mathematics 71 Numerical Algorithms 70 Computers & Mathematics with Applications 68 Linear Algebra and its Applications 65 Journal of Computational Physics 62 SIAM Journal on Scientific Computing 57 Numerical Linear Algebra with Applications 54 Applied Mathematics and Computation 46 Applied Numerical Mathematics 38 Numerische Mathematik 37 SIAM Journal on Matrix Analysis and Applications 35 Computer Methods in Applied Mechanics and Engineering 33 BIT 26 Journal of Scientific Computing 20 Computational and Applied Mathematics 19 International Journal of Computer Mathematics 16 Calcolo 15 Mathematics of Computation 15 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 15 Computational Optimization and Applications 13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 13 East Asian Journal on Applied Mathematics 11 SIAM Journal on Numerical Analysis 11 Applied Mathematics Letters 10 Advances in Computational Mathematics 9 International Journal for Numerical Methods in Engineering 9 ETNA. Electronic Transactions on Numerical Analysis 7 Mathematics and Computers in Simulation 7 Numerical Functional Analysis and Optimization 7 Mathematical and Computer Modelling 7 Mathematical Problems in Engineering 7 Computational Geosciences 6 Systems & Control Letters 6 Numerical Methods for Partial Differential Equations 5 Computers and Fluids 5 International Journal of Control 5 Computational Mechanics 5 Japan Journal of Industrial and Applied Mathematics 5 SIAM Review 5 Computational Methods in Applied Mathematics 5 Journal of Applied Mathematics 5 GAMM-Mitteilungen 5 Science China. Mathematics 4 Computer Physics Communications 4 Journal of Mathematical Analysis and Applications 4 Bulletin of Mathematical Biology 4 Physica D 4 Engineering Analysis with Boundary Elements 4 SIAM Journal on Applied Dynamical Systems 4 Acta Numerica 4 Numerical Algebra, Control and Optimization 4 SIAM/ASA Journal on Uncertainty Quantification 3 Journal of Engineering Mathematics 3 Linear and Multilinear Algebra 3 Mathematical Biosciences 3 Computing 3 Journal of Optimization Theory and Applications 3 Automation and Remote Control 3 SIAM Journal on Optimization 3 Journal of Mathematical Sciences (New York) 3 Advances in Applied Clifford Algebras 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Optimization Methods & Software 3 Chaos 3 The ANZIAM Journal 3 Journal of Numerical Mathematics 3 Journal of Applied Mathematics and Computing 3 Mediterranean Journal of Mathematics 2 International Journal for Numerical and Analytical Methods in Geomechanics 2 Journal of the Franklin Institute 2 Journal of Mathematical Biology 2 Automatica 2 Computer Aided Geometric Design 2 MCSS. Mathematics of Control, Signals, and Systems 2 Applied Mathematical Modelling 2 Turkish Journal of Mathematics 2 Abstract and Applied Analysis 2 Soft Computing 2 Journal of Inequalities and Applications 2 Mathematical and Computer Modelling of Dynamical Systems 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Inverse Problems in Science and Engineering 2 Axioms 2 Open Mathematics 2 Communications on Applied Mathematics and Computation 1 Communications on Pure and Applied Mathematics 1 International Journal for Numerical Methods in Fluids 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Chaos, Solitons and Fractals 1 Mathematics Magazine 1 Kybernetika 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Control and Optimization 1 Applied Mathematics and Mechanics. (English Edition) 1 Bulletin of the Iranian Mathematical Society 1 Parallel Computing 1 Computers & Operations Research 1 COMPEL ...and 62 more Serials
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Cited in 44 Fields

 1,106 Numerical analysis (65-XX) 268 Linear and multilinear algebra; matrix theory (15-XX) 208 Partial differential equations (35-XX) 103 Fluid mechanics (76-XX) 93 Systems theory; control (93-XX) 69 Calculus of variations and optimal control; optimization (49-XX) 53 Mechanics of deformable solids (74-XX) 43 Operations research, mathematical programming (90-XX) 40 Biology and other natural sciences (92-XX) 28 Operator theory (47-XX) 28 Optics, electromagnetic theory (78-XX) 26 Ordinary differential equations (34-XX) 20 Probability theory and stochastic processes (60-XX) 16 Dynamical systems and ergodic theory (37-XX) 16 Geophysics (86-XX) 13 Computer science (68-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Real functions (26-XX) 10 Approximations and expansions (41-XX) 10 Quantum theory (81-XX) 8 Functions of a complex variable (30-XX) 8 Special functions (33-XX) 7 Statistics (62-XX) 7 Information and communication theory, circuits (94-XX) 6 Combinatorics (05-XX) 5 Integral equations (45-XX) 5 Functional analysis (46-XX) 4 Difference and functional equations (39-XX) 4 Mechanics of particles and systems (70-XX) 3 History and biography (01-XX) 3 Integral transforms, operational calculus (44-XX) 2 Field theory and polynomials (12-XX) 2 Potential theory (31-XX) 2 Sequences, series, summability (40-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 General topology (54-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Mathematics education (97-XX)

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