Edit Profile Simoncini, Valeria Compute Distance To: Compute 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) Publications by Year all cited Publications top 5 cited Publications 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 1083.65099Brezzi, Franco; Lipnikov, Konstantin; Simoncini, Valeria 130 2005 A new iterative method for solving large-scale Lyapunov matrix equations. Zbl 1146.65038Simoncini, V. 110 2007 Recent computational developments in Krylov subspace methods for linear systems. Zbl 1199.65112Simoncini, Valeria; Szyld, Daniel B. 101 2007 Computational methods for linear matrix equations. Zbl 1386.65124Simoncini, V. 86 2016 Iterative system solvers for the frequency analysis of linear mechanical systems. Zbl 0981.70005Feriani, A.; Perotti, F.; Simoncini, V. 79 2000 A new discretization methodology for diffusion problems on generalized polyhedral meshes. Zbl 1173.76370Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail; Simoncini, Valeria 68 2007 Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations. Zbl 1051.65038Perugia, I.; Simoncini, V. 68 2000 Block triangular preconditioners for symmetric saddle-point problems. Zbl 1053.65033Simoncini, V. 67 2004 On the eigenvalues of a class of saddle point matrices. Zbl 1103.65033Benzi, Michele; Simoncini, Valeria 56 2006 Adaptive rational Krylov subspaces for large-scale dynamical systems. Zbl 1236.93035Druskin, V.; Simoncini, V. 55 2011 Spectral properties of the Hermitian and skew-Hermitian splitting preconditioner for saddle point problems. Zbl 1083.65047Simoncini, Valeria; Benzi, Michele 54 2004 Theory of inexact Krylov subspace methods and applications to scientific computing. Zbl 1048.65032Simoncini, Valeria; Szyld, Daniel B. 51 2003 An iterative method for nonsymmetric systems with multiple right-hand sides. Zbl 0831.65037Simoncini, V.; Gallopoulos, E. 49 1995 Convergence properties of block GMRES and matrix polynomials. Zbl 0861.65023Simoncini, V.; Gallopoulos, E. 45 1996 A new investigation of the extended Krylov subspace method for matrix function evaluations. Zbl 1240.65154Knizhnerman, L.; Simoncini, V. 42 2010 Krylov subspace methods for saddle point problems with indefinite preconditioning. Zbl 1021.65016Rozlozník, M.; Simoncini, V. 42 2002 Analysis of the rational Krylov subspace and ADI methods for solving the Lyapunov equation. Zbl 1244.65060Druskin, Vladimir; Knizhnerman, Leonid; Simoncini, Valeria 40 2011 Inexact Rayleigh quotient-type methods for eigenvalue computations. Zbl 1003.65033Simoncini, Valeria; Eldén, Lars 36 2002 A quasi-minimal residual variant of the Bi-CGSTAB algorithm for nonsymmetric systems. Zbl 0803.65038Chan, T. F.; Gallopoulos, E.; Simoncini, V.; Szeto, T.; Tong, C. H. 32 1994 Flexible inner-outer Krylov subspace methods. Zbl 1047.65021Simoncini, Valeria; Szyld, Daniel B. 31 2003 Restarted full orthogonalization method for shifted linear systems. Zbl 1033.65015Simoncini, V. 28 2003 On the numerical solution of \(AX-XB=C\). Zbl 0863.65022Simoncini, V. 27 1996 Analysis of projection methods for rational function approximation to the matrix exponential. Zbl 1158.65031Lopez, L.; Simoncini, V. 25 2006 On two numerical methods for the solution of large-scale algebraic Riccati equations. Zbl 1298.65083Simoncini, Valeria; Szyld, Daniel B.; Monsalve, Marlliny 23 2014 Stability estimates and structural spectral properties of saddle point problems. Zbl 1269.65032Krendl, Wolfgang; Simoncini, Valeria; Zulehner, Walter 22 2013 Acceleration techniques for approximating the matrix exponential operator. Zbl 1168.65021Popolizio, M.; Simoncini, V. 22 2008 Matrix functions. Zbl 1153.65333Frommer, Andreas; Simoncini, Valeria 22 2008 On the occurrence of superlinear convergence of exact and inexact Krylov subspace methods. Zbl 1079.65034Simoncini, Valeria; Szyld, Daniel B. 21 2005 Low-rank solvers for fractional differential equations. Zbl 1338.65071Breiten, Tobias; Simoncini, Valeria; Stoll, Martin 20 2016 On the numerical solution of \((\lambda^2 A + \lambda B + C)x = b\) and application to structural dynamics. Zbl 1018.65043Simoncini, V.; Perotti, F. 20 2002 Dynamics of actively regulated gene networks. Zbl 1218.92040Ironi, Liliana; Panzeri, Luigi; Plahte, Erik; Simoncini, Valeria 18 2011 Preserving geometric properties of the exponential matrix by block Krylov subspace methods. Zbl 1107.65039Lopez, L.; Simoncini, V. 18 2006 Efficient algebraic solution of reaction-diffusion systems for the cardiac excitation process. Zbl 1006.65102Pennacchio, Micol; Simoncini, Valeria 17 2002 Adaptive tangential interpolation in rational Krylov subspaces for MIMO dynamical systems. Zbl 1314.65085Druskin, V.; Simoncini, V.; Zaslavsky, M. 16 2014 Convergence analysis of the extended Krylov subspace method for the Lyapunov equation. Zbl 1230.65055Knizhnerman, L.; Simoncini, V. 16 2011 Stopping criteria for rational matrix functions of Hermitian and symmetric matrices. Zbl 1203.65079Frommer, Andreas; Simoncini, Valeria 16 2008 A hybrid block GMRES method for nonsymmetric systems with multiple right-hand sides. Zbl 0859.65021Simoncini, V.; Gallopoulos, E. 16 1996 A new subspace iteration method for the algebraic Riccati equation. Zbl 1363.65076Lin, Yiding; Simoncini, Valeria 15 2015 Decay bounds for functions of Hermitian matrices with banded or Kronecker structure. Zbl 1323.15005Benzi, Michele; Simoncini, Valeria 15 2015 Spectral analysis of saddle point matrices with indefinite leading blocks. Zbl 1200.15007Gould, N. I. M.; Simoncini, V. 15 2010 Algebraic multigrid preconditioners for the bidomain reaction-diffusion system. Zbl 1171.92017Pennacchio, Micol; Simoncini, Valeria 15 2009 A stabilized QMR version of block BICG. Zbl 0872.65024Simoncini, V. 15 1997 On the decay of the inverse of matrices that are sum of Kronecker products. Zbl 1291.65144Canuto, C.; Simoncini, V.; Verani, M. 14 2014 Minimal residual methods for large scale Lyapunov equations. Zbl 1302.65106Lin, Yiding; Simoncini, Valeria 14 2013 Variable accuracy of matrix-vector products in projection methods for eigencomputation. Zbl 1093.65037Simoncini, V. 14 2005 Analysis of the rational Krylov subspace projection method for large-scale algebraic Riccati equations. Zbl 06655499Simoncini, V. 13 2016 Preconditioning of active-set Newton methods for PDE-constrained optimal control problems. Zbl 1325.65066Porcelli, Margherita; Simoncini, Valeria; Tani, Mattia 13 2015 Krylov subspace methods for projected Lyapunov equations. Zbl 1258.65044Stykel, T.; Simoncini, V. 13 2012 Matrix-equation-based strategies for convection-diffusion equations. Zbl 1341.65042Palitta, Davide; Simoncini, Valeria 12 2016 Interpreting IDR as a Petrov-Galerkin method. Zbl 1219.65039Simoncini, Valeria; Szyld, Daniel B. 12 2010 An optimal iterative solver for symmetric indefinite systems stemming from mixed approximation. Zbl 1365.65085Silvester, David J.; Simoncini, Valeria 11 2011 Convergence analysis of projection methods for the numerical solution of large Lyapunov equations. Zbl 1195.65058Simoncini, V.; Druskin, V. 11 2009 Extended Krylov subspace for parameter dependent systems. Zbl 1190.65052Simoncini, V. 10 2010 On the convergence of restarted Krylov subspace methods. Zbl 0969.65023Simoncini, V. 10 2000 A comparison of reduced and unreduced KKT systems arising from interior point methods. Zbl 1406.90088Morini, Benedetta; Simoncini, Valeria; Tani, Mattia 9 2017 An efficient reduced basis solver for stochastic Galerkin matrix equations. Zbl 1381.35257Powell, C. E.; Silvester, D.; Simoncini, V. 9 2017 Efficient low-rank solution of generalized Lyapunov equations. Zbl 1348.65078Shank, Stephen D.; Simoncini, Valeria; Szyld, Daniel B. 9 2016 Spectral analysis of inexact constraint preconditioning for symmetric saddle point matrices. Zbl 1263.65029Sesana, Debora; Simoncini, Valeria 9 2013 Reduced order solution of structured linear systems arising in certain PDE-constrained optimization problems. Zbl 1266.49061Simoncini, V. 9 2012 Fast structured AMG preconditioning for the bidomain model in electrocardiology. Zbl 1227.92034Pennacchio, Micol; Simoncini, Valeria 9 2011 Solution of the time-domain inverse resistivity problem in the model reduction framework. I. One-dimensional problem with SISO data. Zbl 1273.35313Druskin, V.; Simoncini, V.; Zaslavsky, M. 8 2013 A numerical solution of a Cauchy problem for an elliptic equation by Krylov subspaces. Zbl 1169.65089Eldén, Lars; Simoncini, Valeria 8 2009 New conditions for non-stagnation of minimal residual methods. Zbl 1151.65026Simoncini, Valeria; Szyld, Daniel B. 8 2008 Solving ill-posed linear systems with GMRES and a singular preconditioner. Zbl 1263.65033Eldén, Lars; Simoncini, Valeria 7 2012 An implicitly-restarted Krylov subspace method for real symmetric/skew-symmetric eigenproblems. Zbl 1247.65050Mehrmann, Volker; Schröder, C.; Simoncini, Valeria 7 2012 Linear algebra methods in a mixed approximation of magnetostatic problems. Zbl 1040.78012Perugia, I.; Simoncini, V.; Arioli, M. 7 1999 The effect of non-optimal bases on the convergence of Krylov subspace methods. Zbl 1118.65022Simoncini, Valeria; Szyld, Daniel B. 6 2005 Algebraic formulations for the solution of the nullspace-free eigenvalue problem using the inexact Shift-and-Invert Lanczos method. Zbl 1071.65517Simoncini, V. 6 2003 Spectral estimates for unreduced symmetric KKT systems arising from interior point methods. Zbl 1413.65246Morini, Benedetta; Simoncini, Valeria; Tani, Mattia 5 2016 Projection methods for large-scale T-Sylvester equations. Zbl 1352.65127Dopico, Froilán M.; González, Javier; Kressner, Daniel; Simoncini, Valeria 5 2016 Contraction and optimality properties of an adaptive Legendre-Galerkin method: the multi-dimensional case. Zbl 1325.65151Canuto, Claudio; Simoncini, Valeria; Verani, Marco 5 2015 Arnoldi-Riccati method for large eigenvalue problems. Zbl 0856.65035Simoncini, V.; Sadkane, M. 5 1996 Numerical methods for large-scale Lyapunov equations with symmetric banded data. Zbl 1416.65119Palitta, Davide; Simoncini, Valeria 4 2018 Approximation of functions of large matrices with Kronecker structure. Zbl 1365.65134Benzi, Michele; Simoncini, Valeria 4 2017 Krylov subspace methods for large-scale constrained Sylvester equations. Zbl 1285.93038Shank, Stephen D.; Simoncini, Valeria 4 2013 Numerical solution of parameter-dependent linear systems. Zbl 1164.65345Gu, G.-D.; Simoncini, V. 4 2005 A new variant of restarted GMRES. Zbl 0983.65033Simoncini, V. 4 1999 Remarks on nonlinear spectral perturbation. Zbl 0937.65043Simoncini, V. 4 1999 Analysis of a minimum perturbation algorithm for nonsymmetric linear systems. Zbl 0873.65029Kasenally, Ebrahim M.; Simoncini, Valeria 4 1997 Computationally enhanced projection methods for symmetric Sylvester and Lyapunov matrix equations. Zbl 06802855Palitta, Davide; Simoncini, Valeria 3 2018 Preconditioning PDE-constrained optimization with \(L^1\)-sparsity and control constraints. Zbl 1393.49022Porcelli, Margherita; Simoncini, Valeria; Stoll, Martin 3 2017 Efficient preconditioning for an optimal control problem with the time-periodic Stokes equations. Zbl 1320.65100Krendl, Wolfgang; Simoncini, Valeria; Zulehner, Walter 3 2015 Acquired clustering properties and solution of certain saddle point systems. Zbl 1213.65060Olshanskii, M. A.; Simoncini, V. 3 2010 Transfer functions and resolvent norm approximation of large matrices. Zbl 0915.65029Simoncini, V.; Gallopoulos, E. 3 1998 Error estimates for iterative algorithms for minimizing regularized quadratic subproblems. Zbl 1428.90160Gould, Nicholas I. M.; Simoncini, Valeria 2 2020 Approximating the leading singular triplets of a large matrix function. Zbl 1355.65062Gaaf, Sarah W.; Simoncini, Valeria 2 2017 Solution of linear systems from an optimal control problem arising in wind simulation. Zbl 1240.65194Benzi, Michele; Ferragut, Luis; Pennacchio, Micol; Simoncini, Valeria 2 2010 On a non-stagnation condition for GMRES and application to saddle point matrices. Zbl 1206.65136Simoncini, Valeria 2 2010 Substructuring preconditioners for mortar discretization of a degenerate evolution problem. Zbl 1203.65173Pennacchio, Micol; Simoncini, Valeria 2 2008 Ritz and pseudo-Ritz values using matrix polynomials. Zbl 0856.65036Simoncini, V. 2 1996 Inexact Arnoldi residual estimates and decay properties for functions of non-Hermitian matrices. Zbl 1434.65058Pozza, Stefano; Simoncini, Valeria 1 2019 On the superlinear convergence of MINRES. Zbl 1267.65040Simoncini, V.; Szyld, D. B. 1 2013 Block Krylov subspace methods for the computation of structural response to turbulent wind. Zbl 1228.74033Barbella, G.; Perotti, F.; Simoncini, V. 1 2011 Non-symmetric algebraic multigrid preconditioners for the bidomain reaction-diffusion system. Zbl 1402.65108Pennacchio, Micol; Simoncini, Valeria 1 2010 On the field of values of oblique projections. Zbl 1195.47003Simoncini, Valeria; Szyld, Daniel B. 1 2010 Relaxed Krylov subspace approximation. Zbl 1391.65074Simoncini, Valeria; Szyld, Daniel B. 1 2005 A matrix analysis of Arnoldi and Lanczos methods. Zbl 0918.65024Simoncini, V. 1 1998 Block iterative methods and matrix equations. Zbl 0819.65044Simoncini, V.; Gallopoulos, E. 1 1994 Error estimates for iterative algorithms for minimizing regularized quadratic subproblems. Zbl 1428.90160Gould, Nicholas I. M.; Simoncini, Valeria 2 2020 Inexact Arnoldi residual estimates and decay properties for functions of non-Hermitian matrices. Zbl 1434.65058Pozza, Stefano; Simoncini, Valeria 1 2019 Numerical methods for large-scale Lyapunov equations with symmetric banded data. Zbl 1416.65119Palitta, Davide; Simoncini, Valeria 4 2018 Computationally enhanced projection methods for symmetric Sylvester and Lyapunov matrix equations. Zbl 06802855Palitta, Davide; Simoncini, Valeria 3 2018 A comparison of reduced and unreduced KKT systems arising from interior point methods. Zbl 1406.90088Morini, Benedetta; Simoncini, Valeria; Tani, Mattia 9 2017 An efficient reduced basis solver for stochastic Galerkin matrix equations. Zbl 1381.35257Powell, C. E.; Silvester, D.; Simoncini, V. 9 2017 Approximation of functions of large matrices with Kronecker structure. Zbl 1365.65134Benzi, Michele; Simoncini, Valeria 4 2017 Preconditioning PDE-constrained optimization with \(L^1\)-sparsity and control constraints. Zbl 1393.49022Porcelli, Margherita; Simoncini, Valeria; Stoll, Martin 3 2017 Approximating the leading singular triplets of a large matrix function. Zbl 1355.65062Gaaf, Sarah W.; Simoncini, Valeria 2 2017 Computational methods for linear matrix equations. Zbl 1386.65124Simoncini, V. 86 2016 Low-rank solvers for fractional differential equations. Zbl 1338.65071Breiten, Tobias; Simoncini, Valeria; Stoll, Martin 20 2016 Analysis of the rational Krylov subspace projection method for large-scale algebraic Riccati equations. Zbl 06655499Simoncini, V. 13 2016 Matrix-equation-based strategies for convection-diffusion equations. Zbl 1341.65042Palitta, Davide; Simoncini, Valeria 12 2016 Efficient low-rank solution of generalized Lyapunov equations. Zbl 1348.65078Shank, Stephen D.; Simoncini, Valeria; Szyld, Daniel B. 9 2016 Spectral estimates for unreduced symmetric KKT systems arising from interior point methods. Zbl 1413.65246Morini, Benedetta; Simoncini, Valeria; Tani, Mattia 5 2016 Projection methods for large-scale T-Sylvester equations. Zbl 1352.65127Dopico, Froilán M.; González, Javier; Kressner, Daniel; Simoncini, Valeria 5 2016 A new subspace iteration method for the algebraic Riccati equation. Zbl 1363.65076Lin, Yiding; Simoncini, Valeria 15 2015 Decay bounds for functions of Hermitian matrices with banded or Kronecker structure. Zbl 1323.15005Benzi, Michele; Simoncini, Valeria 15 2015 Preconditioning of active-set Newton methods for PDE-constrained optimal control problems. Zbl 1325.65066Porcelli, Margherita; Simoncini, Valeria; Tani, Mattia 13 2015 Contraction and optimality properties of an adaptive Legendre-Galerkin method: the multi-dimensional case. Zbl 1325.65151Canuto, Claudio; Simoncini, Valeria; Verani, Marco 5 2015 Efficient preconditioning for an optimal control problem with the time-periodic Stokes equations. Zbl 1320.65100Krendl, Wolfgang; Simoncini, Valeria; Zulehner, Walter 3 2015 On two numerical methods for the solution of large-scale algebraic Riccati equations. Zbl 1298.65083Simoncini, Valeria; Szyld, Daniel B.; Monsalve, Marlliny 23 2014 Adaptive tangential interpolation in rational Krylov subspaces for MIMO dynamical systems. Zbl 1314.65085Druskin, V.; Simoncini, V.; Zaslavsky, M. 16 2014 On the decay of the inverse of matrices that are sum of Kronecker products. Zbl 1291.65144Canuto, C.; Simoncini, V.; Verani, M. 14 2014 Stability estimates and structural spectral properties of saddle point problems. Zbl 1269.65032Krendl, Wolfgang; Simoncini, Valeria; Zulehner, Walter 22 2013 Minimal residual methods for large scale Lyapunov equations. Zbl 1302.65106Lin, Yiding; Simoncini, Valeria 14 2013 Spectral analysis of inexact constraint preconditioning for symmetric saddle point matrices. Zbl 1263.65029Sesana, Debora; Simoncini, Valeria 9 2013 Solution of the time-domain inverse resistivity problem in the model reduction framework. I. One-dimensional problem with SISO data. Zbl 1273.35313Druskin, V.; Simoncini, V.; Zaslavsky, M. 8 2013 Krylov subspace methods for large-scale constrained Sylvester equations. Zbl 1285.93038Shank, Stephen D.; Simoncini, Valeria 4 2013 On the superlinear convergence of MINRES. Zbl 1267.65040Simoncini, V.; Szyld, D. B. 1 2013 Krylov subspace methods for projected Lyapunov equations. Zbl 1258.65044Stykel, T.; Simoncini, V. 13 2012 Reduced order solution of structured linear systems arising in certain PDE-constrained optimization problems. Zbl 1266.49061Simoncini, V. 9 2012 Solving ill-posed linear systems with GMRES and a singular preconditioner. Zbl 1263.65033Eldén, Lars; Simoncini, Valeria 7 2012 An implicitly-restarted Krylov subspace method for real symmetric/skew-symmetric eigenproblems. Zbl 1247.65050Mehrmann, Volker; Schröder, C.; Simoncini, Valeria 7 2012 Adaptive rational Krylov subspaces for large-scale dynamical systems. Zbl 1236.93035Druskin, V.; Simoncini, V. 55 2011 Analysis of the rational Krylov subspace and ADI methods for solving the Lyapunov equation. Zbl 1244.65060Druskin, Vladimir; Knizhnerman, Leonid; Simoncini, Valeria 40 2011 Dynamics of actively regulated gene networks. Zbl 1218.92040Ironi, Liliana; Panzeri, Luigi; Plahte, Erik; Simoncini, Valeria 18 2011 Convergence analysis of the extended Krylov subspace method for the Lyapunov equation. Zbl 1230.65055Knizhnerman, L.; Simoncini, V. 16 2011 An optimal iterative solver for symmetric indefinite systems stemming from mixed approximation. Zbl 1365.65085Silvester, David J.; Simoncini, Valeria 11 2011 Fast structured AMG preconditioning for the bidomain model in electrocardiology. Zbl 1227.92034Pennacchio, Micol; Simoncini, Valeria 9 2011 Block Krylov subspace methods for the computation of structural response to turbulent wind. Zbl 1228.74033Barbella, G.; Perotti, F.; Simoncini, V. 1 2011 A new investigation of the extended Krylov subspace method for matrix function evaluations. Zbl 1240.65154Knizhnerman, L.; Simoncini, V. 42 2010 Spectral analysis of saddle point matrices with indefinite leading blocks. Zbl 1200.15007Gould, N. I. M.; Simoncini, V. 15 2010 Interpreting IDR as a Petrov-Galerkin method. Zbl 1219.65039Simoncini, Valeria; Szyld, Daniel B. 12 2010 Extended Krylov subspace for parameter dependent systems. Zbl 1190.65052Simoncini, V. 10 2010 Acquired clustering properties and solution of certain saddle point systems. Zbl 1213.65060Olshanskii, M. A.; Simoncini, V. 3 2010 Solution of linear systems from an optimal control problem arising in wind simulation. Zbl 1240.65194Benzi, Michele; Ferragut, Luis; Pennacchio, Micol; Simoncini, Valeria 2 2010 On a non-stagnation condition for GMRES and application to saddle point matrices. Zbl 1206.65136Simoncini, Valeria 2 2010 Non-symmetric algebraic multigrid preconditioners for the bidomain reaction-diffusion system. Zbl 1402.65108Pennacchio, Micol; Simoncini, Valeria 1 2010 On the field of values of oblique projections. Zbl 1195.47003Simoncini, Valeria; Szyld, Daniel B. 1 2010 Algebraic multigrid preconditioners for the bidomain reaction-diffusion system. Zbl 1171.92017Pennacchio, Micol; Simoncini, Valeria 15 2009 Convergence analysis of projection methods for the numerical solution of large Lyapunov equations. Zbl 1195.65058Simoncini, V.; Druskin, V. 11 2009 A numerical solution of a Cauchy problem for an elliptic equation by Krylov subspaces. Zbl 1169.65089Eldén, Lars; Simoncini, Valeria 8 2009 Acceleration techniques for approximating the matrix exponential operator. Zbl 1168.65021Popolizio, M.; Simoncini, V. 22 2008 Matrix functions. Zbl 1153.65333Frommer, Andreas; Simoncini, Valeria 22 2008 Stopping criteria for rational matrix functions of Hermitian and symmetric matrices. Zbl 1203.65079Frommer, Andreas; Simoncini, Valeria 16 2008 New conditions for non-stagnation of minimal residual methods. Zbl 1151.65026Simoncini, Valeria; Szyld, Daniel B. 8 2008 Substructuring preconditioners for mortar discretization of a degenerate evolution problem. Zbl 1203.65173Pennacchio, Micol; Simoncini, Valeria 2 2008 A new iterative method for solving large-scale Lyapunov matrix equations. Zbl 1146.65038Simoncini, V. 110 2007 Recent computational developments in Krylov subspace methods for linear systems. Zbl 1199.65112Simoncini, Valeria; Szyld, Daniel B. 101 2007 A new discretization methodology for diffusion problems on generalized polyhedral meshes. Zbl 1173.76370Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail; Simoncini, Valeria 68 2007 On the eigenvalues of a class of saddle point matrices. Zbl 1103.65033Benzi, Michele; Simoncini, Valeria 56 2006 Analysis of projection methods for rational function approximation to the matrix exponential. Zbl 1158.65031Lopez, L.; Simoncini, V. 25 2006 Preserving geometric properties of the exponential matrix by block Krylov subspace methods. Zbl 1107.65039Lopez, L.; Simoncini, V. 18 2006 A family of mimetic finite difference methods on polygonal and polyhedral meshes. Zbl 1083.65099Brezzi, Franco; Lipnikov, Konstantin; Simoncini, Valeria 130 2005 On the occurrence of superlinear convergence of exact and inexact Krylov subspace methods. Zbl 1079.65034Simoncini, Valeria; Szyld, Daniel B. 21 2005 Variable accuracy of matrix-vector products in projection methods for eigencomputation. Zbl 1093.65037Simoncini, V. 14 2005 The effect of non-optimal bases on the convergence of Krylov subspace methods. Zbl 1118.65022Simoncini, Valeria; Szyld, Daniel B. 6 2005 Numerical solution of parameter-dependent linear systems. Zbl 1164.65345Gu, G.-D.; Simoncini, V. 4 2005 Relaxed Krylov subspace approximation. Zbl 1391.65074Simoncini, Valeria; Szyld, Daniel B. 1 2005 Block triangular preconditioners for symmetric saddle-point problems. Zbl 1053.65033Simoncini, V. 67 2004 Spectral properties of the Hermitian and skew-Hermitian splitting preconditioner for saddle point problems. Zbl 1083.65047Simoncini, Valeria; Benzi, Michele 54 2004 Theory of inexact Krylov subspace methods and applications to scientific computing. Zbl 1048.65032Simoncini, Valeria; Szyld, Daniel B. 51 2003 Flexible inner-outer Krylov subspace methods. Zbl 1047.65021Simoncini, Valeria; Szyld, Daniel B. 31 2003 Restarted full orthogonalization method for shifted linear systems. Zbl 1033.65015Simoncini, V. 28 2003 Algebraic formulations for the solution of the nullspace-free eigenvalue problem using the inexact Shift-and-Invert Lanczos method. Zbl 1071.65517Simoncini, V. 6 2003 Krylov subspace methods for saddle point problems with indefinite preconditioning. Zbl 1021.65016Rozlozník, M.; Simoncini, V. 42 2002 Inexact Rayleigh quotient-type methods for eigenvalue computations. Zbl 1003.65033Simoncini, Valeria; Eldén, Lars 36 2002 On the numerical solution of \((\lambda^2 A + \lambda B + C)x = b\) and application to structural dynamics. Zbl 1018.65043Simoncini, V.; Perotti, F. 20 2002 Efficient algebraic solution of reaction-diffusion systems for the cardiac excitation process. Zbl 1006.65102Pennacchio, Micol; Simoncini, Valeria 17 2002 Iterative system solvers for the frequency analysis of linear mechanical systems. Zbl 0981.70005Feriani, A.; Perotti, F.; Simoncini, V. 79 2000 Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations. Zbl 1051.65038Perugia, I.; Simoncini, V. 68 2000 On the convergence of restarted Krylov subspace methods. Zbl 0969.65023Simoncini, V. 10 2000 Linear algebra methods in a mixed approximation of magnetostatic problems. Zbl 1040.78012Perugia, I.; Simoncini, V.; Arioli, M. 7 1999 A new variant of restarted GMRES. Zbl 0983.65033Simoncini, V. 4 1999 Remarks on nonlinear spectral perturbation. Zbl 0937.65043Simoncini, V. 4 1999 Transfer functions and resolvent norm approximation of large matrices. Zbl 0915.65029Simoncini, V.; Gallopoulos, E. 3 1998 A matrix analysis of Arnoldi and Lanczos methods. Zbl 0918.65024Simoncini, V. 1 1998 A stabilized QMR version of block BICG. Zbl 0872.65024Simoncini, V. 15 1997 Analysis of a minimum perturbation algorithm for nonsymmetric linear systems. Zbl 0873.65029Kasenally, Ebrahim M.; Simoncini, Valeria 4 1997 Convergence properties of block GMRES and matrix polynomials. Zbl 0861.65023Simoncini, V.; Gallopoulos, E. 45 1996 On the numerical solution of \(AX-XB=C\). Zbl 0863.65022Simoncini, V. 27 1996 A hybrid block GMRES method for nonsymmetric systems with multiple right-hand sides. Zbl 0859.65021Simoncini, V.; Gallopoulos, E. 16 1996 Arnoldi-Riccati method for large eigenvalue problems. Zbl 0856.65035Simoncini, V.; Sadkane, M. 5 1996 Ritz and pseudo-Ritz values using matrix polynomials. Zbl 0856.65036Simoncini, V. 2 1996 An iterative method for nonsymmetric systems with multiple right-hand sides. Zbl 0831.65037Simoncini, V.; Gallopoulos, E. 49 1995 A quasi-minimal residual variant of the Bi-CGSTAB algorithm for nonsymmetric systems. Zbl 0803.65038Chan, T. F.; Gallopoulos, E.; Simoncini, V.; Szeto, T.; Tong, C. H. 32 1994 Block iterative methods and matrix equations. Zbl 0819.65044Simoncini, V.; Gallopoulos, E. 1 1994 all cited Publications top 5 cited Publications all top 5 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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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