Edit Profile (opens in new tab) Simoncini, Valeria Co-Author Distance Author ID: simoncini.valeria Published as: Simoncini, Valeria; Simoncini, V. External Links: MGP · ORCID · Wikidata · GND · IdRef Documents Indexed: 130 Publications since 1994, including 7 Additional arXiv Preprints 4 Contributions as Editor Co-Authors: 77 Co-Authors with 108 Joint Publications 2,351 Co-Co-Authors all top 5 Co-Authors 21 single-authored 12 Szyld, Daniel B. 10 Palitta, Davide 8 Pennacchio, Micol 7 Gallopoulos, Efstratios 6 Benzi, Michele 5 Druskin, Vladimir 5 Porcelli, Margherita 4 Tani, Mattia 3 Eldén, Lars 3 Hao, Yue 3 Knizhnerman, Leonid 3 Kressner, Daniel 3 Morini, Benedetta 3 Perotti, Federico 3 Pozza, Stefano 3 Stoll, Martin 3 Urban, Karsten 2 Alla, Alessandro 2 Brandoni, Domitilla 2 Brezzi, Franco 2 Canuto, Claudio 2 Frommer, Andreas 2 Gould, Nicholas Ian Mark 2 Henning, Julian 2 Kirsten, Gerhard 2 Krendl, Wolfgang 2 Lin, Yiding 2 Lipnikov, Konstantin N. 2 Perugia, Ilaria 2 Schweitzer, Marcel 2 Shank, Stephen D. 2 Silvester, David J. 2 Verani, Marco 2 Zaslavsky, Mikhail 2 Zulehner, Walter 1 Arioli, Mario 1 Barbella, G. 1 Bekas, Constantine 1 Bellavia, Stefania 1 Benner, Peter 1 Bini, Dario Andrea 1 Breiten, Tobias 1 Bünger, Alexandra 1 Chan, Tony Fan-Cheong 1 D’Autilia, Maria Chiara 1 Dopico, Froilán M. 1 Falcone, Maurizio 1 Faßbender, Heike 1 Feriani, Anna 1 Ferragut, Luis 1 Gaaf, Sarah W. 1 Grasedyck, Lars 1 Guglielmi, Nicola 1 Harbrecht, Helmut 1 Ironi, Liliana 1 Kalise, Dante 1 Kasenally, Ebrahim M. 1 Kokiopoulou, Efrosini 1 Kunoth, Angela 1 Lopez, Luciano 1 Mehrmann, Volker 1 Meini, Beatrice 1 Monsalve, Marlliny 1 Munthe-Kaas, Hans Z. 1 Olshanskii, Maxim A. 1 Panzeri, Luigi 1 Plahte, Erik 1 Popolizio, Marina 1 Powell, Catherine Elizabeth 1 Russo, Alessandro 1 Sacchi, Giulia 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. 1 Van Loan, Charles Francis all top 5 Serials 16 SIAM Journal on Scientific Computing 14 SIAM Journal on Matrix Analysis and Applications 12 Numerical Linear Algebra with Applications 9 Numerische Mathematik 8 BIT 8 Linear Algebra and its Applications 6 SIAM Journal on Numerical Analysis 6 Applied Numerical Mathematics 3 Computers & Mathematics with Applications 3 Computer Methods in Applied Mechanics and Engineering 3 Journal of Computational and Applied Mathematics 3 ETNA. Electronic Transactions on Numerical Analysis 2 IMA Journal of Numerical Analysis 2 Journal of Scientific Computing 2 SIAM Review 2 Computational Optimization and Applications 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 Advances in Computational Mathematics 1 Vietnam Journal of Mathematics 1 Optimization Methods & Software 1 The ANZIAM Journal 1 Journal of Numerical Mathematics 1 Oberwolfach Reports 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Lecture Notes in Mathematics 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Bollettino dell’Unione Matematica Italiana all top 5 Fields 122 Numerical analysis (65-XX) 36 Linear and multilinear algebra; matrix theory (15-XX) 18 Partial differential equations (35-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Biology and other natural sciences (92-XX) 8 Systems theory; control (93-XX) 5 Operations research, mathematical programming (90-XX) 4 General and overarching topics; collections (00-XX) 4 Computer science (68-XX) 4 Fluid mechanics (76-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Optics, electromagnetic theory (78-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-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 Open 112 Publications have been cited 2,815 times in 1,733 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 179 2005 Computational methods for linear matrix equations. Zbl 1386.65124 Simoncini, V. 174 2016 A new iterative method for solving large-scale Lyapunov matrix equations. Zbl 1146.65038 Simoncini, V. 148 2007 Recent computational developments in Krylov subspace methods for linear systems. Zbl 1199.65112 Simoncini, Valeria; Szyld, Daniel B. 130 2007 Iterative system solvers for the frequency analysis of linear mechanical systems. Zbl 0981.70005 Feriani, A.; Perotti, F.; Simoncini, V. 106 2000 Adaptive rational Krylov subspaces for large-scale dynamical systems. Zbl 1236.93035 Druskin, V.; Simoncini, V. 85 2011 Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations. Zbl 1051.65038 Perugia, I.; Simoncini, V. 83 2000 A new discretization methodology for diffusion problems on generalized polyhedral meshes. Zbl 1173.76370 Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail; Simoncini, Valeria 80 2007 Block triangular preconditioners for symmetric saddle-point problems. Zbl 1053.65033 Simoncini, V. 78 2004 Theory of inexact Krylov subspace methods and applications to scientific computing. Zbl 1048.65032 Simoncini, Valeria; Szyld, Daniel B. 74 2003 Convergence properties of block GMRES and matrix polynomials. Zbl 0861.65023 Simoncini, V.; Gallopoulos, E. 69 1996 Spectral properties of the Hermitian and skew-Hermitian splitting preconditioner for saddle point problems. Zbl 1083.65047 Simoncini, Valeria; Benzi, Michele 66 2004 On the eigenvalues of a class of saddle point matrices. Zbl 1103.65033 Benzi, Michele; Simoncini, Valeria 65 2006 An iterative method for nonsymmetric systems with multiple right-hand sides. Zbl 0831.65037 Simoncini, V.; Gallopoulos, E. 60 1995 A new investigation of the extended Krylov subspace method for matrix function evaluations. Zbl 1240.65154 Knizhnerman, L.; Simoncini, V. 52 2010 Analysis of the rational Krylov subspace and ADI methods for solving the Lyapunov equation. Zbl 1244.65060 Druskin, Vladimir; Knizhnerman, Leonid; Simoncini, Valeria 52 2011 Krylov subspace methods for saddle point problems with indefinite preconditioning. Zbl 1021.65016 Rozlozník, M.; Simoncini, V. 51 2002 Flexible inner-outer Krylov subspace methods. Zbl 1047.65021 Simoncini, Valeria; Szyld, Daniel B. 46 2003 Inexact Rayleigh quotient-type methods for eigenvalue computations. Zbl 1003.65033 Simoncini, Valeria; Eldén, Lars 40 2002 On two numerical methods for the solution of large-scale algebraic Riccati equations. Zbl 1298.65083 Simoncini, Valeria; Szyld, Daniel B.; Monsalve, Marlliny 38 2014 Low-rank solvers for fractional differential equations. Zbl 1338.65071 Breiten, Tobias; Simoncini, Valeria; Stoll, Martin 37 2016 Restarted full orthogonalization method for shifted linear systems. Zbl 1033.65015 Simoncini, V. 35 2003 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. 34 1994 Stability estimates and structural spectral properties of saddle point problems. Zbl 1269.65032 Krendl, Wolfgang; Simoncini, Valeria; Zulehner, Walter 34 2013 On the numerical solution of \(AX-XB=C\). Zbl 0863.65022 Simoncini, V. 33 1996 Analysis of projection methods for rational function approximation to the matrix exponential. Zbl 1158.65031 Lopez, L.; Simoncini, V. 31 2006 Matrix functions. Zbl 1153.65333 Frommer, Andreas; Simoncini, Valeria 30 2008 On the occurrence of superlinear convergence of exact and inexact Krylov subspace methods. Zbl 1079.65034 Simoncini, Valeria; Szyld, Daniel B. 29 2005 Acceleration techniques for approximating the matrix exponential operator. Zbl 1168.65021 Popolizio, M.; Simoncini, V. 27 2008 A new subspace iteration method for the algebraic Riccati equation. Zbl 1363.65076 Lin, Yiding; Simoncini, Valeria 27 2015 Dynamics of actively regulated gene networks. Zbl 1218.92040 Ironi, Liliana; Panzeri, Luigi; Plahte, Erik; Simoncini, Valeria 26 2011 Decay bounds for functions of Hermitian matrices with banded or Kronecker structure. Zbl 1323.15005 Benzi, Michele; Simoncini, Valeria 26 2015 Analysis of the rational Krylov subspace projection method for large-scale algebraic Riccati equations. Zbl 06655499 Simoncini, V. 25 2016 Matrix-equation-based strategies for convection-diffusion equations. Zbl 1341.65042 Palitta, Davide; Simoncini, Valeria 25 2016 Convergence analysis of the extended Krylov subspace method for the Lyapunov equation. Zbl 1230.65055 Knizhnerman, L.; Simoncini, V. 24 2011 Adaptive tangential interpolation in rational Krylov subspaces for MIMO dynamical systems. Zbl 1314.65085 Druskin, V.; Simoncini, V.; Zaslavsky, M. 23 2014 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. 22 2002 An efficient reduced basis solver for stochastic Galerkin matrix equations. Zbl 1381.35257 Powell, C. E.; Silvester, D.; Simoncini, V. 22 2017 Stopping criteria for rational matrix functions of Hermitian and symmetric matrices. Zbl 1203.65079 Frommer, Andreas; Simoncini, Valeria 21 2008 A hybrid block GMRES method for nonsymmetric systems with multiple right-hand sides. Zbl 0859.65021 Simoncini, V.; Gallopoulos, E. 21 1996 Spectral analysis of saddle point matrices with indefinite leading blocks. Zbl 1200.15007 Gould, N. I. M.; Simoncini, V. 21 2010 Preconditioning of active-set Newton methods for PDE-constrained optimal control problems. Zbl 1325.65066 Porcelli, Margherita; Simoncini, Valeria; Tani, Mattia 20 2015 Efficient low-rank solution of generalized Lyapunov equations. Zbl 1348.65078 Shank, Stephen D.; Simoncini, Valeria; Szyld, Daniel B. 20 2016 Preserving geometric properties of the exponential matrix by block Krylov subspace methods. Zbl 1107.65039 Lopez, L.; Simoncini, V. 19 2006 Minimal residual methods for large scale Lyapunov equations. Zbl 1302.65106 Lin, Yiding; Simoncini, Valeria 18 2013 A stabilized QMR version of block BICG. Zbl 0872.65024 Simoncini, V. 17 1997 Efficient algebraic solution of reaction-diffusion systems for the cardiac excitation process. Zbl 1006.65102 Pennacchio, Micol; Simoncini, Valeria 17 2002 On the decay of the inverse of matrices that are sum of Kronecker products. Zbl 1291.65144 Canuto, C.; Simoncini, V.; Verani, M. 17 2014 Krylov subspace methods for projected Lyapunov equations. Zbl 1258.65044 Stykel, T.; Simoncini, V. 16 2012 Variable accuracy of matrix-vector products in projection methods for eigencomputation. Zbl 1093.65037 Simoncini, V. 16 2005 Algebraic multigrid preconditioners for the bidomain reaction-diffusion system. Zbl 1171.92017 Pennacchio, Micol; Simoncini, Valeria 16 2009 A comparison of reduced and unreduced KKT systems arising from interior point methods. Zbl 1406.90088 Morini, Benedetta; Simoncini, Valeria; Tani, Mattia 16 2017 An optimal iterative solver for symmetric indefinite systems stemming from mixed approximation. Zbl 1365.65085 Silvester, David J.; Simoncini, Valeria 15 2011 Interpreting IDR as a Petrov-Galerkin method. Zbl 1219.65039 Simoncini, Valeria; Szyld, Daniel B. 14 2010 Convergence analysis of projection methods for the numerical solution of large Lyapunov equations. Zbl 1195.65058 Simoncini, V.; Druskin, V. 14 2009 Extended Krylov subspace for parameter dependent systems. Zbl 1190.65052 Simoncini, V. 14 2010 An implicitly-restarted Krylov subspace method for real symmetric/skew-symmetric eigenproblems. Zbl 1247.65050 Mehrmann, Volker; Schröder, C.; Simoncini, Valeria 13 2012 On the convergence of restarted Krylov subspace methods. Zbl 0969.65023 Simoncini, V. 13 2000 Approximation of functions of large matrices with Kronecker structure. Zbl 1365.65134 Benzi, Michele; Simoncini, Valeria 12 2017 Reduced order solution of structured linear systems arising in certain PDE-constrained optimization problems. Zbl 1266.49061 Simoncini, V. 12 2012 A numerical solution of a Cauchy problem for an elliptic equation by Krylov subspaces. Zbl 1169.65089 Eldén, Lars; Simoncini, Valeria 11 2009 Spectral estimates for unreduced symmetric KKT systems arising from interior point methods. Zbl 1413.65246 Morini, Benedetta; Simoncini, Valeria; Tani, Mattia 11 2016 Spectral analysis of inexact constraint preconditioning for symmetric saddle point matrices. Zbl 1263.65029 Sesana, Debora; Simoncini, Valeria 11 2013 Linear algebra methods in a mixed approximation of magnetostatic problems. Zbl 1040.78012 Perugia, I.; Simoncini, V.; Arioli, M. 10 1999 Fast structured AMG preconditioning for the bidomain model in electrocardiology. Zbl 1227.92034 Pennacchio, Micol; Simoncini, Valeria 10 2011 Inexact Arnoldi residual estimates and decay properties for functions of non-Hermitian matrices. Zbl 1434.65058 Pozza, Stefano; Simoncini, Valeria 10 2019 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. 10 2013 New conditions for non-stagnation of minimal residual methods. Zbl 1151.65026 Simoncini, Valeria; Szyld, Daniel B. 9 2008 Matrix-oriented discretization methods for reaction-diffusion PDEs: comparisons and applications. Zbl 1454.65047 D’Autilia, Maria Chiara; Sgura, Ivonne; Simoncini, Valeria 9 2020 Solving ill-posed linear systems with GMRES and a singular preconditioner. Zbl 1263.65033 Eldén, Lars; Simoncini, Valeria 9 2012 Error estimates for iterative algorithms for minimizing regularized quadratic subproblems. Zbl 1428.90160 Gould, Nicholas I. M.; Simoncini, Valeria 8 2020 Preconditioning PDE-constrained optimization with \(L^1\)-sparsity and control constraints. Zbl 1393.49022 Porcelli, Margherita; Simoncini, Valeria; Stoll, Martin 8 2017 The effect of non-optimal bases on the convergence of Krylov subspace methods. Zbl 1118.65022 Simoncini, Valeria; Szyld, Daniel B. 7 2005 Computationally enhanced projection methods for symmetric Sylvester and Lyapunov matrix equations. Zbl 1503.65087 Palitta, Davide; Simoncini, Valeria 7 2018 Projection methods for large-scale T-Sylvester equations. Zbl 1352.65127 Dopico, Froilán M.; González, Javier; Kressner, Daniel; Simoncini, Valeria 7 2016 Contraction and optimality properties of an adaptive Legendre-Galerkin method: the multi-dimensional case. Zbl 1325.65151 Canuto, Claudio; Simoncini, Valeria; Verani, Marco 7 2015 Order reduction methods for solving large-scale differential matrix Riccati equations. Zbl 1452.65078 Kirsten, Gerhard; Simoncini, Valeria 7 2020 Matrix oriented reduction of space-time Petrov-Galerkin variational problems. Zbl 1475.65123 Henning, Julian; Palitta, Davide; Simoncini, Valeria; Urban, Karsten 7 2021 Algebraic formulations for the solution of the nullspace-free eigenvalue problem using the inexact Shift-and-Invert Lanczos method. Zbl 1071.65517 Simoncini, V. 6 2003 Numerical solution of parameter-dependent linear systems. Zbl 1164.65345 Gu, G.-D.; Simoncini, V. 6 2005 Numerical methods for large-scale Lyapunov equations with symmetric banded data. Zbl 1416.65119 Palitta, Davide; Simoncini, Valeria 6 2018 Acquired clustering properties and solution of certain saddle point systems. Zbl 1213.65060 Olshanskii, M. A.; Simoncini, V. 5 2010 Analysis of a minimum perturbation algorithm for nonsymmetric linear systems. Zbl 0873.65029 Kasenally, Ebrahim M.; Simoncini, Valeria 5 1997 Ritz and pseudo-Ritz values using matrix polynomials. Zbl 0856.65036 Simoncini, V. 5 1996 Arnoldi-Riccati method for large eigenvalue problems. Zbl 0856.65035 Simoncini, V.; Sadkane, M. 5 1996 Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations. Zbl 1466.65031 Palitta, Davide; Simoncini, Valeria 5 2020 Krylov subspace methods for large-scale constrained Sylvester equations. Zbl 1285.93038 Shank, Stephen D.; Simoncini, Valeria 5 2013 Remarks on nonlinear spectral perturbation. Zbl 0937.65043 Simoncini, V. 4 1999 A new variant of restarted GMRES. Zbl 0983.65033 Simoncini, V. 4 1999 Approximating the leading singular triplets of a large matrix function. Zbl 1355.65062 Gaaf, Sarah W.; Simoncini, Valeria 4 2017 Stability and accuracy of inexact interior point methods for convex quadratic programming. Zbl 1381.65046 Morini, Benedetta; Simoncini, Valeria 4 2017 Efficient preconditioning for an optimal control problem with the time-periodic Stokes equations. Zbl 1320.65100 Krendl, Wolfgang; Simoncini, Valeria; Zulehner, Walter 4 2015 The Sherman-Morrison-Woodbury formula for generalized linear matrix equations and applications. Zbl 07478615 Hao, Yue; Simoncini, Valeria 4 2021 Solution of linear systems from an optimal control problem arising in wind simulation. Zbl 1240.65194 Benzi, Michele; Ferragut, Luis; Pennacchio, Micol; Simoncini, Valeria 3 2010 On a non-stagnation condition for GMRES and application to saddle point matrices. Zbl 1206.65136 Simoncini, Valeria 3 2010 Transfer functions and resolvent norm approximation of large matrices. Zbl 0915.65029 Simoncini, V.; Gallopoulos, E. 3 1998 Numerical solution of a class of third order tensor linear equations. Zbl 1452.65063 Simoncini, V. 3 2020 The short-term rational Lanczos method and applications. Zbl 1508.65028 Palitta, Davide; Pozza, Stefano; Simoncini, Valeria 3 2022 An ultraweak space-time variational formulation for the wave equation: analysis and efficient numerical solution. Zbl 1497.35312 Henning, Julian; Palitta, Davide; Simoncini, Valeria; Urban, Karsten 3 2022 Functions of rational Krylov space matrices and their decay properties. Zbl 1470.65081 Pozza, Stefano; Simoncini, Valeria 3 2021 State-dependent Riccati equation feedback stabilization for nonlinear PDEs. Zbl 1516.93203 Alla, Alessandro; Kalise, Dante; Simoncini, Valeria 1 2023 The short-term rational Lanczos method and applications. Zbl 1508.65028 Palitta, Davide; Pozza, Stefano; Simoncini, Valeria 3 2022 An ultraweak space-time variational formulation for the wave equation: analysis and efficient numerical solution. Zbl 1497.35312 Henning, Julian; Palitta, Davide; Simoncini, Valeria; Urban, Karsten 3 2022 Matrix oriented reduction of space-time Petrov-Galerkin variational problems. Zbl 1475.65123 Henning, Julian; Palitta, Davide; Simoncini, Valeria; Urban, Karsten 7 2021 The Sherman-Morrison-Woodbury formula for generalized linear matrix equations and applications. Zbl 07478615 Hao, Yue; Simoncini, Valeria 4 2021 Functions of rational Krylov space matrices and their decay properties. Zbl 1470.65081 Pozza, Stefano; Simoncini, Valeria 3 2021 A low-rank matrix equation method for solving PDE-constrained optimization problems. Zbl 07418123 Bünger, Alexandra; Simoncini, Valeria; Stoll, Martin 2 2021 Matrix equation solving of PDEs in polygonal domains using conformal mappings. Zbl 1495.65199 Hao, Yue; Simoncini, Valeria 1 2021 Matrix-oriented discretization methods for reaction-diffusion PDEs: comparisons and applications. Zbl 1454.65047 D’Autilia, Maria Chiara; Sgura, Ivonne; Simoncini, Valeria 9 2020 Error estimates for iterative algorithms for minimizing regularized quadratic subproblems. Zbl 1428.90160 Gould, Nicholas I. M.; Simoncini, Valeria 8 2020 Order reduction methods for solving large-scale differential matrix Riccati equations. Zbl 1452.65078 Kirsten, Gerhard; Simoncini, Valeria 7 2020 Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations. Zbl 1466.65031 Palitta, Davide; Simoncini, Valeria 5 2020 Numerical solution of a class of third order tensor linear equations. Zbl 1452.65063 Simoncini, V. 3 2020 Inexact Arnoldi residual estimates and decay properties for functions of non-Hermitian matrices. Zbl 1434.65058 Pozza, Stefano; Simoncini, Valeria 10 2019 A GMRES convergence analysis for localized invariant subspace ill-conditioning. Zbl 1420.65059 Sacchi, Giulia; Simoncini, Valeria 2 2019 Computationally enhanced projection methods for symmetric Sylvester and Lyapunov matrix equations. Zbl 1503.65087 Palitta, Davide; Simoncini, Valeria 7 2018 Numerical methods for large-scale Lyapunov equations with symmetric banded data. Zbl 1416.65119 Palitta, Davide; Simoncini, Valeria 6 2018 Order reduction approaches for the algebraic Riccati equation and the LQR problem. Zbl 1416.49039 Alla, Alessandro; Simoncini, Valeria 1 2018 An efficient reduced basis solver for stochastic Galerkin matrix equations. Zbl 1381.35257 Powell, C. E.; Silvester, D.; Simoncini, V. 22 2017 A comparison of reduced and unreduced KKT systems arising from interior point methods. Zbl 1406.90088 Morini, Benedetta; Simoncini, Valeria; Tani, Mattia 16 2017 Approximation of functions of large matrices with Kronecker structure. Zbl 1365.65134 Benzi, Michele; Simoncini, Valeria 12 2017 Preconditioning PDE-constrained optimization with \(L^1\)-sparsity and control constraints. Zbl 1393.49022 Porcelli, Margherita; Simoncini, Valeria; Stoll, Martin 8 2017 Approximating the leading singular triplets of a large matrix function. Zbl 1355.65062 Gaaf, Sarah W.; Simoncini, Valeria 4 2017 Stability and accuracy of inexact interior point methods for convex quadratic programming. Zbl 1381.65046 Morini, Benedetta; Simoncini, Valeria 4 2017 Computational methods for linear matrix equations. Zbl 1386.65124 Simoncini, V. 174 2016 Low-rank solvers for fractional differential equations. Zbl 1338.65071 Breiten, Tobias; Simoncini, Valeria; Stoll, Martin 37 2016 Analysis of the rational Krylov subspace projection method for large-scale algebraic Riccati equations. Zbl 06655499 Simoncini, V. 25 2016 Matrix-equation-based strategies for convection-diffusion equations. Zbl 1341.65042 Palitta, Davide; Simoncini, Valeria 25 2016 Efficient low-rank solution of generalized Lyapunov equations. Zbl 1348.65078 Shank, Stephen D.; Simoncini, Valeria; Szyld, Daniel B. 20 2016 Spectral estimates for unreduced symmetric KKT systems arising from interior point methods. Zbl 1413.65246 Morini, Benedetta; Simoncini, Valeria; Tani, Mattia 11 2016 Projection methods for large-scale T-Sylvester equations. Zbl 1352.65127 Dopico, Froilán M.; González, Javier; Kressner, Daniel; Simoncini, Valeria 7 2016 A new subspace iteration method for the algebraic Riccati equation. Zbl 1363.65076 Lin, Yiding; Simoncini, Valeria 27 2015 Decay bounds for functions of Hermitian matrices with banded or Kronecker structure. Zbl 1323.15005 Benzi, Michele; Simoncini, Valeria 26 2015 Preconditioning of active-set Newton methods for PDE-constrained optimal control problems. Zbl 1325.65066 Porcelli, Margherita; Simoncini, Valeria; Tani, Mattia 20 2015 Contraction and optimality properties of an adaptive Legendre-Galerkin method: the multi-dimensional case. Zbl 1325.65151 Canuto, Claudio; Simoncini, Valeria; Verani, Marco 7 2015 Efficient preconditioning for an optimal control problem with the time-periodic Stokes equations. Zbl 1320.65100 Krendl, Wolfgang; Simoncini, Valeria; Zulehner, Walter 4 2015 On two numerical methods for the solution of large-scale algebraic Riccati equations. Zbl 1298.65083 Simoncini, Valeria; Szyld, Daniel B.; Monsalve, Marlliny 38 2014 Adaptive tangential interpolation in rational Krylov subspaces for MIMO dynamical systems. Zbl 1314.65085 Druskin, V.; Simoncini, V.; Zaslavsky, M. 23 2014 On the decay of the inverse of matrices that are sum of Kronecker products. Zbl 1291.65144 Canuto, C.; Simoncini, V.; Verani, M. 17 2014 Stability estimates and structural spectral properties of saddle point problems. Zbl 1269.65032 Krendl, Wolfgang; Simoncini, Valeria; Zulehner, Walter 34 2013 Minimal residual methods for large scale Lyapunov equations. Zbl 1302.65106 Lin, Yiding; Simoncini, Valeria 18 2013 Spectral analysis of inexact constraint preconditioning for symmetric saddle point matrices. Zbl 1263.65029 Sesana, Debora; Simoncini, Valeria 11 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. 10 2013 Krylov subspace methods for large-scale constrained Sylvester equations. Zbl 1285.93038 Shank, Stephen D.; Simoncini, Valeria 5 2013 On the superlinear convergence of MINRES. Zbl 1267.65040 Simoncini, V.; Szyld, D. B. 1 2013 Krylov subspace methods for projected Lyapunov equations. Zbl 1258.65044 Stykel, T.; Simoncini, V. 16 2012 An implicitly-restarted Krylov subspace method for real symmetric/skew-symmetric eigenproblems. Zbl 1247.65050 Mehrmann, Volker; Schröder, C.; Simoncini, Valeria 13 2012 Reduced order solution of structured linear systems arising in certain PDE-constrained optimization problems. Zbl 1266.49061 Simoncini, V. 12 2012 Solving ill-posed linear systems with GMRES and a singular preconditioner. Zbl 1263.65033 Eldén, Lars; Simoncini, Valeria 9 2012 Adaptive rational Krylov subspaces for large-scale dynamical systems. Zbl 1236.93035 Druskin, V.; Simoncini, V. 85 2011 Analysis of the rational Krylov subspace and ADI methods for solving the Lyapunov equation. Zbl 1244.65060 Druskin, Vladimir; Knizhnerman, Leonid; Simoncini, Valeria 52 2011 Dynamics of actively regulated gene networks. Zbl 1218.92040 Ironi, Liliana; Panzeri, Luigi; Plahte, Erik; Simoncini, Valeria 26 2011 Convergence analysis of the extended Krylov subspace method for the Lyapunov equation. Zbl 1230.65055 Knizhnerman, L.; Simoncini, V. 24 2011 An optimal iterative solver for symmetric indefinite systems stemming from mixed approximation. Zbl 1365.65085 Silvester, David J.; Simoncini, Valeria 15 2011 Fast structured AMG preconditioning for the bidomain model in electrocardiology. Zbl 1227.92034 Pennacchio, Micol; Simoncini, Valeria 10 2011 Block Krylov subspace methods for the computation of structural response to turbulent wind. Zbl 1228.74033 Barbella, G.; Perotti, F.; Simoncini, V. 2 2011 A new investigation of the extended Krylov subspace method for matrix function evaluations. Zbl 1240.65154 Knizhnerman, L.; Simoncini, V. 52 2010 Spectral analysis of saddle point matrices with indefinite leading blocks. Zbl 1200.15007 Gould, N. I. M.; Simoncini, V. 21 2010 Interpreting IDR as a Petrov-Galerkin method. Zbl 1219.65039 Simoncini, Valeria; Szyld, Daniel B. 14 2010 Extended Krylov subspace for parameter dependent systems. Zbl 1190.65052 Simoncini, V. 14 2010 Acquired clustering properties and solution of certain saddle point systems. Zbl 1213.65060 Olshanskii, M. A.; Simoncini, V. 5 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 3 2010 On a non-stagnation condition for GMRES and application to saddle point matrices. Zbl 1206.65136 Simoncini, Valeria 3 2010 Non-symmetric algebraic multigrid preconditioners for the bidomain reaction-diffusion system. Zbl 1402.65108 Pennacchio, Micol; Simoncini, Valeria 1 2010 On the field of values of oblique projections. Zbl 1195.47003 Simoncini, Valeria; Szyld, Daniel B. 1 2010 Algebraic multigrid preconditioners for the bidomain reaction-diffusion system. Zbl 1171.92017 Pennacchio, Micol; Simoncini, Valeria 16 2009 Convergence analysis of projection methods for the numerical solution of large Lyapunov equations. Zbl 1195.65058 Simoncini, V.; Druskin, V. 14 2009 A numerical solution of a Cauchy problem for an elliptic equation by Krylov subspaces. Zbl 1169.65089 Eldén, Lars; Simoncini, Valeria 11 2009 Matrix functions. Zbl 1153.65333 Frommer, Andreas; Simoncini, Valeria 30 2008 Acceleration techniques for approximating the matrix exponential operator. Zbl 1168.65021 Popolizio, M.; Simoncini, V. 27 2008 Stopping criteria for rational matrix functions of Hermitian and symmetric matrices. Zbl 1203.65079 Frommer, Andreas; Simoncini, Valeria 21 2008 New conditions for non-stagnation of minimal residual methods. Zbl 1151.65026 Simoncini, Valeria; Szyld, Daniel B. 9 2008 Substructuring preconditioners for mortar discretization of a degenerate evolution problem. Zbl 1203.65173 Pennacchio, Micol; Simoncini, Valeria 2 2008 A new iterative method for solving large-scale Lyapunov matrix equations. Zbl 1146.65038 Simoncini, V. 148 2007 Recent computational developments in Krylov subspace methods for linear systems. Zbl 1199.65112 Simoncini, Valeria; Szyld, Daniel B. 130 2007 A new discretization methodology for diffusion problems on generalized polyhedral meshes. Zbl 1173.76370 Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail; Simoncini, Valeria 80 2007 On the eigenvalues of a class of saddle point matrices. Zbl 1103.65033 Benzi, Michele; Simoncini, Valeria 65 2006 Analysis of projection methods for rational function approximation to the matrix exponential. Zbl 1158.65031 Lopez, L.; Simoncini, V. 31 2006 Preserving geometric properties of the exponential matrix by block Krylov subspace methods. Zbl 1107.65039 Lopez, L.; Simoncini, V. 19 2006 A family of mimetic finite difference methods on polygonal and polyhedral meshes. Zbl 1083.65099 Brezzi, Franco; Lipnikov, Konstantin; Simoncini, Valeria 179 2005 On the occurrence of superlinear convergence of exact and inexact Krylov subspace methods. Zbl 1079.65034 Simoncini, Valeria; Szyld, Daniel B. 29 2005 Variable accuracy of matrix-vector products in projection methods for eigencomputation. Zbl 1093.65037 Simoncini, V. 16 2005 The effect of non-optimal bases on the convergence of Krylov subspace methods. Zbl 1118.65022 Simoncini, Valeria; Szyld, Daniel B. 7 2005 Numerical solution of parameter-dependent linear systems. Zbl 1164.65345 Gu, G.-D.; Simoncini, V. 6 2005 Relaxed Krylov subspace approximation. Zbl 1391.65074 Simoncini, Valeria; Szyld, Daniel B. 1 2005 Block triangular preconditioners for symmetric saddle-point problems. Zbl 1053.65033 Simoncini, V. 78 2004 Spectral properties of the Hermitian and skew-Hermitian splitting preconditioner for saddle point problems. Zbl 1083.65047 Simoncini, Valeria; Benzi, Michele 66 2004 Theory of inexact Krylov subspace methods and applications to scientific computing. Zbl 1048.65032 Simoncini, Valeria; Szyld, Daniel B. 74 2003 Flexible inner-outer Krylov subspace methods. Zbl 1047.65021 Simoncini, Valeria; Szyld, Daniel B. 46 2003 Restarted full orthogonalization method for shifted linear systems. Zbl 1033.65015 Simoncini, V. 35 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. 6 2003 Krylov subspace methods for saddle point problems with indefinite preconditioning. Zbl 1021.65016 Rozlozník, M.; Simoncini, V. 51 2002 Inexact Rayleigh quotient-type methods for eigenvalue computations. Zbl 1003.65033 Simoncini, Valeria; Eldén, Lars 40 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. 22 2002 Efficient algebraic solution of reaction-diffusion systems for the cardiac excitation process. Zbl 1006.65102 Pennacchio, Micol; Simoncini, Valeria 17 2002 Iterative system solvers for the frequency analysis of linear mechanical systems. Zbl 0981.70005 Feriani, A.; Perotti, F.; Simoncini, V. 106 2000 Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations. Zbl 1051.65038 Perugia, I.; Simoncini, V. 83 2000 On the convergence of restarted Krylov subspace methods. Zbl 0969.65023 Simoncini, V. 13 2000 Linear algebra methods in a mixed approximation of magnetostatic problems. Zbl 1040.78012 Perugia, I.; Simoncini, V.; Arioli, M. 10 1999 Remarks on nonlinear spectral perturbation. Zbl 0937.65043 Simoncini, V. 4 1999 ...and 12 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,100 Authors 63 Simoncini, Valeria 49 Benner, Peter 39 Zhang, Guofeng 34 Jbilou, Khalide 32 Huang, Ting-Zhu 25 Liang, Zhaozheng 25 Ma, Changfeng 21 Axelsson, Axel Owe Holger 21 Szyld, Daniel B. 18 Benzi, Michele 18 Khojasteh Salkuyeh, Davod 18 Kressner, Daniel 18 Kürschner, Patrick 18 Manzini, Gianmarco 17 Antonietti, Paola Francesca 17 Bentbib, Abdeslem Hafid 17 Lipnikov, Konstantin N. 17 Wu, Shiliang 16 Li, Cuixia 16 Palitta, Davide 14 Beirão da Veiga, Lourenço 14 Heyouni, Mohammed 14 Jiang, Nan 14 Saak, Jens 14 Toutounian, Faezeh 14 Verani, Marco 13 Massei, Stefano 13 Stoll, Martin 13 Wu, Yujiang 13 Yang, Aili 12 Brezzi, Franco 12 Cao, Yang 12 Dehghan Takht Fooladi, Mehdi 12 Droniou, Jérôme 12 Huang, Na 12 Robol, Leonardo 12 Schweitzer, Marcel 12 Wu, Jiming 11 Bergamaschi, Luca 11 Gondzio, Jacek 11 Güttel, Stefan 11 Hajarian, Masoud 11 Jing, Yanfei 11 Pearson, John W. 11 Reichel, Lothar 10 Bai, Zhongzhi 10 Carpentieri, Bruno 10 Cui, Jingjing 10 Frommer, Andreas 10 Gu, Xian-Ming 10 Gugercin, Serkan 10 Huang, Zhengge 10 Sogabe, Tomohiro 10 Wang, Xiang 9 Breiten, Tobias 9 Chen, Hao 9 Gedeon, Tomáš 9 Liao, Lidan 9 Pestana, Jennifer 9 Zhang, Jianhua 8 Di Pietro, Daniele Antonio 8 Fan, Hongtao 8 Jia, Zhongxiao 8 Mehrmann, Volker 8 Sleijpen, Gerard L. G. 8 Van Gijzen, Martin Bastiaan 8 Wu, Gang 8 Zhang, Shao-Liang 8 Zheng, Bing 8 Zheng, Qingqing 7 Cao, Zhihao 7 Druskin, Vladimir 7 Durastante, Fabio 7 Faßbender, Heike 7 Ferronato, Massimiliano 7 Garrappa, Roberto 7 Greif, Chen 7 Jiang, Yaolin 7 Liu, Jun 7 Popolizio, Marina 7 Scacchi, Simone 7 Shashkov, Mikhail J. 7 Shen, Shuqian 7 Shirilord, Akbar 7 Stykel, Tatjana 7 Tani, Mattia 7 Wathen, Andrew John 7 Yang, Huanhuan 6 Chen, Guoliang 6 Cummins, Bree 6 Dai, Hua 6 Dolgov, Sergey V. 6 Du, Lei 6 Elbouyahyaoui, Lakhdar 6 Elman, Howard C. 6 Freitag, Melina A. 6 Gratton, Serge 6 Gu, Chuanqing 6 Karátson, János 6 King-wah Chu, Eric ...and 2,000 more Authors all top 5 Cited in 225 Serials 136 Journal of Computational and Applied Mathematics 90 Computers & Mathematics with Applications 89 Numerical Algorithms 80 SIAM Journal on Scientific Computing 79 Journal of Computational Physics 76 Linear Algebra and its Applications 70 Applied Mathematics and Computation 66 SIAM Journal on Matrix Analysis and Applications 61 Applied Numerical Mathematics 57 Numerical Linear Algebra with Applications 55 Computer Methods in Applied Mechanics and Engineering 44 BIT 43 Journal of Scientific Computing 41 Numerische Mathematik 31 International Journal of Computer Mathematics 27 Computational and Applied Mathematics 22 Computational Optimization and Applications 21 Calcolo 19 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 18 SIAM Journal on Numerical Analysis 18 ETNA. 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Académie des Sciences, Paris 2 Multiscale Modeling & Simulation 2 Advances in Difference Equations ...and 125 more Serials all top 5 Cited in 47 Fields 1,498 Numerical analysis (65-XX) 381 Linear and multilinear algebra; matrix theory (15-XX) 294 Partial differential equations (35-XX) 148 Fluid mechanics (76-XX) 131 Systems theory; control (93-XX) 94 Calculus of variations and optimal control; optimization (49-XX) 72 Operations research, mathematical programming (90-XX) 66 Mechanics of deformable solids (74-XX) 54 Biology and other natural sciences (92-XX) 39 Operator theory (47-XX) 38 Ordinary differential equations (34-XX) 37 Optics, electromagnetic theory (78-XX) 28 Probability theory and stochastic processes (60-XX) 28 Computer science (68-XX) 24 Dynamical systems and ergodic theory (37-XX) 20 Geophysics (86-XX) 18 Approximations and expansions (41-XX) 15 Statistics (62-XX) 15 Statistical mechanics, structure of matter (82-XX) 14 Functions of a complex variable (30-XX) 13 Information and communication theory, circuits (94-XX) 12 Combinatorics (05-XX) 12 Quantum theory (81-XX) 11 Real functions (26-XX) 9 Special functions (33-XX) 8 Functional analysis (46-XX) 7 Integral equations (45-XX) 7 Mechanics of particles and systems (70-XX) 5 Difference and functional equations (39-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Integral transforms, operational calculus (44-XX) 4 Differential geometry (53-XX) 3 History and biography (01-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 2 Potential theory (31-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Relativity and gravitational theory (83-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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