Edit Profile (opens in new tab) Simoncini, Valeria Co-Author Distance Author ID: simoncini.valeria Published as: Simoncini, Valeria; Simoncini, V. Homepage: https://www.dm.unibo.it/~simoncin/welcome.html External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef Videos: carmin.tv Documents Indexed: 134 Publications since 1994, including 9 Additional arXiv Preprints 4 Contributions as Editor Software Indexed: 1 Package Co-Authors: 82 Co-Authors with 113 Joint Publications 2,496 Co-Co-Authors all top 5 Co-Authors 21 single-authored 12 Szyld, Daniel B. 11 Palitta, Davide 8 Pennacchio, Micol 7 Gallopoulos, Efstratios 6 Benzi, Michele 6 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 Iannacito, Martina 1 Ironi, Liliana 1 Kalise, Dante 1 Kasenally, Ebrahim M. 1 Kokiopoulou, Efrosini 1 Kunoth, Angela 1 Liu, Sijing 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 Rozložník, Miroslav 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 Toni, Daniele 1 Van Loan, Charles Francis 1 Zimmerling, Jörn T. 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 Journal of Scientific Computing 3 ETNA. Electronic Transactions on Numerical Analysis 2 IMA Journal of Numerical Analysis 2 SIAM Review 2 Computational Optimization and Applications 2 Bollettino dell’Unione Matematica Italiana 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 all top 5 Fields 126 Numerical analysis (65-XX) 38 Linear and multilinear algebra; matrix theory (15-XX) 18 Partial differential equations (35-XX) 10 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 113 Publications have been cited 3,165 times in 1,944 Documents Cited by ▼ Year ▼ Computational methods for linear matrix equations. Zbl 1386.65124 Simoncini, V. 210 2016 A family of mimetic finite difference methods on polygonal and polyhedral meshes. Zbl 1083.65099 Brezzi, Franco; Lipnikov, Konstantin; Simoncini, Valeria 192 2005 A new iterative method for solving large-scale Lyapunov matrix equations. Zbl 1146.65038 Simoncini, V. 164 2007 Recent computational developments in Krylov subspace methods for linear systems. Zbl 1199.65112 Simoncini, Valeria; Szyld, Daniel B. 141 2007 Iterative system solvers for the frequency analysis of linear mechanical systems. Zbl 0981.70005 Feriani, A.; Perotti, F.; Simoncini, V. 115 2000 Adaptive rational Krylov subspaces for large-scale dynamical systems. Zbl 1236.93035 Druskin, V.; Simoncini, V. 92 2011 Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations. Zbl 1051.65038 Perugia, I.; Simoncini, V. 89 2000 Theory of inexact Krylov subspace methods and applications to scientific computing. Zbl 1048.65032 Simoncini, Valeria; Szyld, Daniel B. 85 2003 Block triangular preconditioners for symmetric saddle-point problems. Zbl 1053.65033 Simoncini, V. 80 2004 A new discretization methodology for diffusion problems on generalized polyhedral meshes. Zbl 1173.76370 Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail; Simoncini, Valeria 79 2007 Convergence properties of block GMRES and matrix polynomials. Zbl 0861.65023 Simoncini, V.; Gallopoulos, E. 75 1996 Spectral properties of the Hermitian and skew-Hermitian splitting preconditioner for saddle point problems. Zbl 1083.65047 Simoncini, Valeria; Benzi, Michele 70 2004 On the eigenvalues of a class of saddle point matrices. Zbl 1103.65033 Benzi, Michele; Simoncini, Valeria 67 2006 An iterative method for nonsymmetric systems with multiple right-hand sides. Zbl 0831.65037 Simoncini, V.; Gallopoulos, E. 60 1995 Analysis of the rational Krylov subspace and ADI methods for solving the Lyapunov equation. Zbl 1244.65060 Druskin, Vladimir; Knizhnerman, Leonid; Simoncini, Valeria 60 2011 A new investigation of the extended Krylov subspace method for matrix function evaluations. Zbl 1240.65154 Knizhnerman, L.; Simoncini, V. 56 2010 Krylov subspace methods for saddle point problems with indefinite preconditioning. Zbl 1021.65016 Rozlozník, M.; Simoncini, V. 53 2002 Flexible inner-outer Krylov subspace methods. Zbl 1047.65021 Simoncini, Valeria; Szyld, Daniel B. 52 2003 Low-rank solvers for fractional differential equations. Zbl 1338.65071 Breiten, Tobias; Simoncini, Valeria; Stoll, Martin 44 2016 Inexact Rayleigh quotient-type methods for eigenvalue computations. Zbl 1003.65033 Simoncini, Valeria; Eldén, Lars 43 2002 Restarted full orthogonalization method for shifted linear systems. Zbl 1033.65015 Simoncini, V. 41 2003 On two numerical methods for the solution of large-scale algebraic Riccati equations. Zbl 1298.65083 Simoncini, Valeria; Szyld, Daniel B.; Monsalve, Marlliny 39 2014 Stability estimates and structural spectral properties of saddle point problems. Zbl 1269.65032 Krendl, Wolfgang; Simoncini, Valeria; Zulehner, Walter 37 2013 Matrix functions. Zbl 1153.65333 Frommer, Andreas; Simoncini, Valeria 37 2008 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. 36 1994 On the numerical solution of \(AX-XB=C\). Zbl 0863.65022 Simoncini, V. 34 1996 Matrix-equation-based strategies for convection-diffusion equations. Zbl 1341.65042 Palitta, Davide; Simoncini, Valeria 34 2016 Analysis of projection methods for rational function approximation to the matrix exponential. Zbl 1158.65031 Lopez, L.; Simoncini, V. 34 2006 On the occurrence of superlinear convergence of exact and inexact Krylov subspace methods. Zbl 1079.65034 Simoncini, Valeria; Szyld, Daniel B. 31 2005 A new subspace iteration method for the algebraic Riccati equation. Zbl 1363.65076 Lin, Yiding; Simoncini, Valeria 30 2015 Dynamics of actively regulated gene networks. Zbl 1218.92040 Ironi, Liliana; Panzeri, Luigi; Plahte, Erik; Simoncini, Valeria 30 2011 Analysis of the rational Krylov subspace projection method for large-scale algebraic Riccati equations. Zbl 06655499 Simoncini, V. 30 2016 Decay bounds for functions of Hermitian matrices with banded or Kronecker structure. Zbl 1323.15005 Benzi, Michele; Simoncini, Valeria 29 2015 Acceleration techniques for approximating the matrix exponential operator. Zbl 1168.65021 Popolizio, M.; Simoncini, V. 29 2008 Efficient low-rank solution of generalized Lyapunov equations. Zbl 1348.65078 Shank, Stephen D.; Simoncini, Valeria; Szyld, Daniel B. 28 2016 Preconditioning of active-set Newton methods for PDE-constrained optimal control problems. Zbl 1325.65066 Porcelli, Margherita; Simoncini, Valeria; Tani, Mattia 26 2015 An efficient reduced basis solver for stochastic Galerkin matrix equations. Zbl 1381.35257 Powell, C. E.; Silvester, D.; Simoncini, V. 26 2017 Convergence analysis of the extended Krylov subspace method for the Lyapunov equation. Zbl 1230.65055 Knizhnerman, L.; Simoncini, V. 25 2011 A hybrid block GMRES method for nonsymmetric systems with multiple right-hand sides. Zbl 0859.65021 Simoncini, V.; Gallopoulos, E. 23 1996 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 Stopping criteria for rational matrix functions of Hermitian and symmetric matrices. Zbl 1203.65079 Frommer, Andreas; Simoncini, Valeria 22 2008 Spectral analysis of saddle point matrices with indefinite leading blocks. Zbl 1200.15007 Gould, N. I. M.; Simoncini, V. 21 2010 Preserving geometric properties of the exponential matrix by block Krylov subspace methods. Zbl 1107.65039 Lopez, L.; Simoncini, V. 20 2006 Minimal residual methods for large scale Lyapunov equations. Zbl 1302.65106 Lin, Yiding; Simoncini, Valeria 20 2013 On the decay of the inverse of matrices that are sum of Kronecker products. Zbl 1291.65144 Canuto, C.; Simoncini, V.; Verani, M. 19 2014 A comparison of reduced and unreduced KKT systems arising from interior point methods. Zbl 1406.90088 Morini, Benedetta; Simoncini, Valeria; Tani, Mattia 19 2017 Variable accuracy of matrix-vector products in projection methods for eigencomputation. Zbl 1093.65037 Simoncini, V. 18 2005 A stabilized QMR version of block BICG. Zbl 0872.65024 Simoncini, V. 18 1997 Convergence analysis of projection methods for the numerical solution of large Lyapunov equations. Zbl 1195.65058 Simoncini, V.; Druskin, V. 18 2009 Algebraic multigrid preconditioners for the bidomain reaction-diffusion system. Zbl 1171.92017 Pennacchio, Micol; Simoncini, Valeria 17 2009 A numerical solution of a Cauchy problem for an elliptic equation by Krylov subspaces. Zbl 1169.65089 Eldén, Lars; Simoncini, Valeria 17 2009 Efficient algebraic solution of reaction-diffusion systems for the cardiac excitation process. Zbl 1006.65102 Pennacchio, Micol; Simoncini, Valeria 16 2002 An optimal iterative solver for symmetric indefinite systems stemming from mixed approximation. Zbl 1365.65085 Silvester, David J.; Simoncini, Valeria 16 2011 Extended Krylov subspace for parameter dependent systems. Zbl 1190.65052 Simoncini, V. 16 2010 Krylov subspace methods for projected Lyapunov equations. Zbl 1258.65044 Stykel, T.; Simoncini, V. 16 2012 Approximation of functions of large matrices with Kronecker structure. Zbl 1365.65134 Benzi, Michele; Simoncini, Valeria 16 2017 Matrix-oriented discretization methods for reaction-diffusion PDEs: comparisons and applications. Zbl 1454.65047 D’Autilia, Maria Chiara; Sgura, Ivonne; Simoncini, Valeria 15 2020 An implicitly-restarted Krylov subspace method for real symmetric/skew-symmetric eigenproblems. Zbl 1247.65050 Mehrmann, Volker; Schröder, C.; Simoncini, Valeria 15 2012 On the convergence of restarted Krylov subspace methods. Zbl 0969.65023 Simoncini, V. 14 2000 Interpreting IDR as a Petrov-Galerkin method. Zbl 1219.65039 Simoncini, Valeria; Szyld, Daniel B. 14 2010 Spectral estimates for unreduced symmetric KKT systems arising from interior point methods. Zbl 1413.65246 Morini, Benedetta; Simoncini, Valeria; Tani, Mattia 13 2016 Solving ill-posed linear systems with GMRES and a singular preconditioner. Zbl 1263.65033 Eldén, Lars; Simoncini, Valeria 12 2012 Inexact Arnoldi residual estimates and decay properties for functions of non-Hermitian matrices. Zbl 1434.65058 Pozza, Stefano; Simoncini, Valeria 12 2019 Spectral analysis of inexact constraint preconditioning for symmetric saddle point matrices. Zbl 1263.65029 Sesana, Debora; Simoncini, Valeria 12 2013 Reduced order solution of structured linear systems arising in certain PDE-constrained optimization problems. Zbl 1266.49061 Simoncini, V. 12 2012 Fast structured AMG preconditioning for the bidomain model in electrocardiology. Zbl 1227.92034 Pennacchio, Micol; Simoncini, Valeria 12 2011 Error estimates for iterative algorithms for minimizing regularized quadratic subproblems. Zbl 1428.90160 Gould, Nicholas I. M.; Simoncini, Valeria 11 2020 Linear algebra methods in a mixed approximation of magnetostatic problems. Zbl 1040.78012 Perugia, I.; Simoncini, V.; Arioli, M. 10 1999 Preconditioning PDE-constrained optimization with \(L^1\)-sparsity and control constraints. Zbl 1393.49022 Porcelli, Margherita; Simoncini, Valeria; Stoll, Martin 10 2017 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 Computationally enhanced projection methods for symmetric Sylvester and Lyapunov matrix equations. Zbl 1503.65087 Palitta, Davide; Simoncini, Valeria 10 2018 Numerical solution of parameter-dependent linear systems. Zbl 1164.65345 Gu, G.-D.; Simoncini, V. 9 2005 New conditions for non-stagnation of minimal residual methods. Zbl 1151.65026 Simoncini, Valeria; Szyld, Daniel B. 9 2008 Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations. Zbl 1466.65031 Palitta, Davide; Simoncini, Valeria 9 2020 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 9 2022 Projection methods for large-scale T-Sylvester equations. Zbl 1352.65127 Dopico, Froilán M.; González, Javier; Kressner, Daniel; Simoncini, Valeria 8 2016 Order reduction methods for solving large-scale differential matrix Riccati equations. Zbl 1452.65078 Kirsten, Gerhard; Simoncini, Valeria 8 2020 Matrix oriented reduction of space-time Petrov-Galerkin variational problems. Zbl 1475.65123 Henning, Julian; Palitta, Davide; Simoncini, Valeria; Urban, Karsten 8 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. 7 2003 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 The effect of non-optimal bases on the convergence of Krylov subspace methods. Zbl 1118.65022 Simoncini, Valeria; Szyld, Daniel B. 7 2005 Numerical methods for large-scale Lyapunov equations with symmetric banded data. Zbl 1416.65119 Palitta, Davide; Simoncini, Valeria 7 2018 Arnoldi-Riccati method for large eigenvalue problems. Zbl 0856.65035 Simoncini, V.; Sadkane, M. 6 1996 Ritz and pseudo-Ritz values using matrix polynomials. Zbl 0856.65036 Simoncini, V. 6 1996 Acquired clustering properties and solution of certain saddle point systems. Zbl 1213.65060 Olshanskii, M. A.; Simoncini, V. 6 2010 Krylov subspace methods for large-scale constrained Sylvester equations. Zbl 1285.93038 Shank, Stephen D.; Simoncini, Valeria 6 2013 Analysis of a minimum perturbation algorithm for nonsymmetric linear systems. Zbl 0873.65029 Kasenally, Ebrahim M.; Simoncini, Valeria 5 1997 The short-term rational Lanczos method and applications. Zbl 1508.65028 Palitta, Davide; Pozza, Stefano; Simoncini, Valeria 5 2022 Approximating the leading singular triplets of a large matrix function. Zbl 1355.65062 Gaaf, Sarah W.; Simoncini, Valeria 5 2017 Numerical solution of a class of third order tensor linear equations. Zbl 1452.65063 Simoncini, V. 5 2020 A new variant of restarted GMRES. Zbl 0983.65033 Simoncini, V. 4 1999 Transfer functions and resolvent norm approximation of large matrices. Zbl 0915.65029 Simoncini, V.; Gallopoulos, E. 4 1998 Remarks on nonlinear spectral perturbation. Zbl 0937.65043 Simoncini, V. 4 1999 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 1549.65113 Hao, Yue; Simoncini, Valeria 4 2021 Stability and accuracy of inexact interior point methods for convex quadratic programming. Zbl 1381.65046 Morini, Benedetta; Simoncini, Valeria 4 2017 On a non-stagnation condition for GMRES and application to saddle point matrices. Zbl 1206.65136 Simoncini, Valeria 3 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 State-dependent Riccati equation feedback stabilization for nonlinear PDEs. Zbl 1516.93203 Alla, Alessandro; Kalise, Dante; Simoncini, Valeria 3 2023 State-dependent Riccati equation feedback stabilization for nonlinear PDEs. Zbl 1516.93203 Alla, Alessandro; Kalise, Dante; Simoncini, Valeria 3 2023 Analysis of the truncated conjugate gradient method for linear matrix equations. Zbl 1515.65096 Simoncini, Valeria; Hao, Yue 1 2023 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 9 2022 The short-term rational Lanczos method and applications. Zbl 1508.65028 Palitta, Davide; Pozza, Stefano; Simoncini, Valeria 5 2022 Matrix oriented reduction of space-time Petrov-Galerkin variational problems. Zbl 1475.65123 Henning, Julian; Palitta, Davide; Simoncini, Valeria; Urban, Karsten 8 2021 The Sherman-Morrison-Woodbury formula for generalized linear matrix equations and applications. Zbl 1549.65113 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 Matrix equation solving of PDEs in polygonal domains using conformal mappings. Zbl 1495.65199 Hao, Yue; Simoncini, Valeria 2 2021 A low-rank matrix equation method for solving PDE-constrained optimization problems. Zbl 1544.65060 Bünger, Alexandra; Simoncini, Valeria; Stoll, Martin 2 2021 Matrix-oriented discretization methods for reaction-diffusion PDEs: comparisons and applications. Zbl 1454.65047 D’Autilia, Maria Chiara; Sgura, Ivonne; Simoncini, Valeria 15 2020 Error estimates for iterative algorithms for minimizing regularized quadratic subproblems. Zbl 1428.90160 Gould, Nicholas I. M.; Simoncini, Valeria 11 2020 Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations. Zbl 1466.65031 Palitta, Davide; Simoncini, Valeria 9 2020 Order reduction methods for solving large-scale differential matrix Riccati equations. Zbl 1452.65078 Kirsten, Gerhard; Simoncini, Valeria 8 2020 Numerical solution of a class of third order tensor linear equations. Zbl 1452.65063 Simoncini, V. 5 2020 Inexact Arnoldi residual estimates and decay properties for functions of non-Hermitian matrices. Zbl 1434.65058 Pozza, Stefano; Simoncini, Valeria 12 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 10 2018 Numerical methods for large-scale Lyapunov equations with symmetric banded data. Zbl 1416.65119 Palitta, Davide; Simoncini, Valeria 7 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. 26 2017 A comparison of reduced and unreduced KKT systems arising from interior point methods. Zbl 1406.90088 Morini, Benedetta; Simoncini, Valeria; Tani, Mattia 19 2017 Approximation of functions of large matrices with Kronecker structure. Zbl 1365.65134 Benzi, Michele; Simoncini, Valeria 16 2017 Preconditioning PDE-constrained optimization with \(L^1\)-sparsity and control constraints. Zbl 1393.49022 Porcelli, Margherita; Simoncini, Valeria; Stoll, Martin 10 2017 Approximating the leading singular triplets of a large matrix function. Zbl 1355.65062 Gaaf, Sarah W.; Simoncini, Valeria 5 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. 210 2016 Low-rank solvers for fractional differential equations. Zbl 1338.65071 Breiten, Tobias; Simoncini, Valeria; Stoll, Martin 44 2016 Matrix-equation-based strategies for convection-diffusion equations. Zbl 1341.65042 Palitta, Davide; Simoncini, Valeria 34 2016 Analysis of the rational Krylov subspace projection method for large-scale algebraic Riccati equations. Zbl 06655499 Simoncini, V. 30 2016 Efficient low-rank solution of generalized Lyapunov equations. Zbl 1348.65078 Shank, Stephen D.; Simoncini, Valeria; Szyld, Daniel B. 28 2016 Spectral estimates for unreduced symmetric KKT systems arising from interior point methods. Zbl 1413.65246 Morini, Benedetta; Simoncini, Valeria; Tani, Mattia 13 2016 Projection methods for large-scale T-Sylvester equations. Zbl 1352.65127 Dopico, Froilán M.; González, Javier; Kressner, Daniel; Simoncini, Valeria 8 2016 A new subspace iteration method for the algebraic Riccati equation. Zbl 1363.65076 Lin, Yiding; Simoncini, Valeria 30 2015 Decay bounds for functions of Hermitian matrices with banded or Kronecker structure. Zbl 1323.15005 Benzi, Michele; Simoncini, Valeria 29 2015 Preconditioning of active-set Newton methods for PDE-constrained optimal control problems. Zbl 1325.65066 Porcelli, Margherita; Simoncini, Valeria; Tani, Mattia 26 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 39 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. 19 2014 Stability estimates and structural spectral properties of saddle point problems. Zbl 1269.65032 Krendl, Wolfgang; Simoncini, Valeria; Zulehner, Walter 37 2013 Minimal residual methods for large scale Lyapunov equations. Zbl 1302.65106 Lin, Yiding; Simoncini, Valeria 20 2013 Spectral analysis of inexact constraint preconditioning for symmetric saddle point matrices. Zbl 1263.65029 Sesana, Debora; Simoncini, Valeria 12 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 6 2013 On the superlinear convergence of MINRES. Zbl 1267.65040 Simoncini, V.; Szyld, D. B. 2 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 15 2012 Solving ill-posed linear systems with GMRES and a singular preconditioner. Zbl 1263.65033 Eldén, Lars; Simoncini, Valeria 12 2012 Reduced order solution of structured linear systems arising in certain PDE-constrained optimization problems. Zbl 1266.49061 Simoncini, V. 12 2012 Adaptive rational Krylov subspaces for large-scale dynamical systems. Zbl 1236.93035 Druskin, V.; Simoncini, V. 92 2011 Analysis of the rational Krylov subspace and ADI methods for solving the Lyapunov equation. Zbl 1244.65060 Druskin, Vladimir; Knizhnerman, Leonid; Simoncini, Valeria 60 2011 Dynamics of actively regulated gene networks. Zbl 1218.92040 Ironi, Liliana; Panzeri, Luigi; Plahte, Erik; Simoncini, Valeria 30 2011 Convergence analysis of the extended Krylov subspace method for the Lyapunov equation. Zbl 1230.65055 Knizhnerman, L.; Simoncini, V. 25 2011 An optimal iterative solver for symmetric indefinite systems stemming from mixed approximation. Zbl 1365.65085 Silvester, David J.; Simoncini, Valeria 16 2011 Fast structured AMG preconditioning for the bidomain model in electrocardiology. Zbl 1227.92034 Pennacchio, Micol; Simoncini, Valeria 12 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. 56 2010 Spectral analysis of saddle point matrices with indefinite leading blocks. Zbl 1200.15007 Gould, N. I. M.; Simoncini, V. 21 2010 Extended Krylov subspace for parameter dependent systems. Zbl 1190.65052 Simoncini, V. 16 2010 Interpreting IDR as a Petrov-Galerkin method. Zbl 1219.65039 Simoncini, Valeria; Szyld, Daniel B. 14 2010 Acquired clustering properties and solution of certain saddle point systems. Zbl 1213.65060 Olshanskii, M. A.; Simoncini, V. 6 2010 On a non-stagnation condition for GMRES and application to saddle point matrices. Zbl 1206.65136 Simoncini, Valeria 3 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 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 Convergence analysis of projection methods for the numerical solution of large Lyapunov equations. Zbl 1195.65058 Simoncini, V.; Druskin, V. 18 2009 Algebraic multigrid preconditioners for the bidomain reaction-diffusion system. Zbl 1171.92017 Pennacchio, Micol; Simoncini, Valeria 17 2009 A numerical solution of a Cauchy problem for an elliptic equation by Krylov subspaces. Zbl 1169.65089 Eldén, Lars; Simoncini, Valeria 17 2009 Matrix functions. Zbl 1153.65333 Frommer, Andreas; Simoncini, Valeria 37 2008 Acceleration techniques for approximating the matrix exponential operator. Zbl 1168.65021 Popolizio, M.; Simoncini, V. 29 2008 Stopping criteria for rational matrix functions of Hermitian and symmetric matrices. Zbl 1203.65079 Frommer, Andreas; Simoncini, Valeria 22 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. 164 2007 Recent computational developments in Krylov subspace methods for linear systems. Zbl 1199.65112 Simoncini, Valeria; Szyld, Daniel B. 141 2007 A new discretization methodology for diffusion problems on generalized polyhedral meshes. Zbl 1173.76370 Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail; Simoncini, Valeria 79 2007 On the eigenvalues of a class of saddle point matrices. Zbl 1103.65033 Benzi, Michele; Simoncini, Valeria 67 2006 Analysis of projection methods for rational function approximation to the matrix exponential. Zbl 1158.65031 Lopez, L.; Simoncini, V. 34 2006 Preserving geometric properties of the exponential matrix by block Krylov subspace methods. Zbl 1107.65039 Lopez, L.; Simoncini, V. 20 2006 A family of mimetic finite difference methods on polygonal and polyhedral meshes. Zbl 1083.65099 Brezzi, Franco; Lipnikov, Konstantin; Simoncini, Valeria 192 2005 On the occurrence of superlinear convergence of exact and inexact Krylov subspace methods. Zbl 1079.65034 Simoncini, Valeria; Szyld, Daniel B. 31 2005 Variable accuracy of matrix-vector products in projection methods for eigencomputation. Zbl 1093.65037 Simoncini, V. 18 2005 Numerical solution of parameter-dependent linear systems. Zbl 1164.65345 Gu, G.-D.; Simoncini, V. 9 2005 The effect of non-optimal bases on the convergence of Krylov subspace methods. Zbl 1118.65022 Simoncini, Valeria; Szyld, Daniel B. 7 2005 Relaxed Krylov subspace approximation. Zbl 1391.65074 Simoncini, Valeria; Szyld, Daniel B. 2 2005 Block triangular preconditioners for symmetric saddle-point problems. Zbl 1053.65033 Simoncini, V. 80 2004 Spectral properties of the Hermitian and skew-Hermitian splitting preconditioner for saddle point problems. Zbl 1083.65047 Simoncini, Valeria; Benzi, Michele 70 2004 Theory of inexact Krylov subspace methods and applications to scientific computing. Zbl 1048.65032 Simoncini, Valeria; Szyld, Daniel B. 85 2003 Flexible inner-outer Krylov subspace methods. Zbl 1047.65021 Simoncini, Valeria; Szyld, Daniel B. 52 2003 Restarted full orthogonalization method for shifted linear systems. Zbl 1033.65015 Simoncini, V. 41 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. 7 2003 Krylov subspace methods for saddle point problems with indefinite preconditioning. Zbl 1021.65016 Rozlozník, M.; Simoncini, V. 53 2002 Inexact Rayleigh quotient-type methods for eigenvalue computations. Zbl 1003.65033 Simoncini, Valeria; Eldén, Lars 43 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 16 2002 Iterative system solvers for the frequency analysis of linear mechanical systems. Zbl 0981.70005 Feriani, A.; Perotti, F.; Simoncini, V. 115 2000 Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations. Zbl 1051.65038 Perugia, I.; Simoncini, V. 89 2000 On the convergence of restarted Krylov subspace methods. Zbl 0969.65023 Simoncini, V. 14 2000 Linear algebra methods in a mixed approximation of magnetostatic problems. Zbl 1040.78012 Perugia, I.; Simoncini, V.; Arioli, M. 10 1999 ...and 13 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,331 Authors 65 Simoncini, Valeria 52 Benner, Peter 40 Zhang, Guofeng 36 Jbilou, Khalide 33 Huang, Ting-Zhu 28 Liang, Zhaozheng 26 Ma, Changfeng 23 Szyld, Daniel B. 21 Axelsson, Axel Owe Holger 20 Benzi, Michele 20 Kressner, Daniel 19 Kürschner, Patrick 19 Palitta, Davide 18 Khojasteh Salkuyeh, Davod 18 Manzini, Gianmarco 17 Antonietti, Paola Francesca 17 Bentbib, Abdeslem Hafid 17 Lipnikov, Konstantin N. 17 Wu, Shiliang 16 Jiang, Nan 16 Li, Cuixia 16 Schweitzer, Marcel 16 Stoll, Martin 16 Yang, Aili 15 Dehghan Takht Fooladi, Mehdi 15 Heyouni, Mohammed 15 Massei, Stefano 15 Robol, Leonardo 15 Saak, Jens 14 Beirão da Veiga, Lourenço 14 Bergamaschi, Luca 14 Toutounian, Faezeh 14 Verani, Marco 14 Wu, Yujiang 13 Cui, Jingjing 13 Hajarian, Masoud 13 Huang, Na 13 Huang, Zhengge 12 Brezzi, Franco 12 Cao, Yang 12 Droniou, Jérôme 12 Frommer, Andreas 12 Güttel, Stefan 12 Jing, Yanfei 12 Liao, Lidan 12 Pearson, John W. 12 Wu, Jiming 11 Bai, Zhongzhi 11 Carpentieri, Bruno 11 Gondzio, Jacek 11 Gugercin, Serkan 11 Reichel, Lothar 11 Sogabe, Tomohiro 11 Wang, Xiang 10 Gedeon, Tomáš 10 Gu, Xian-Ming 10 Pestana, Jennifer 10 Shirilord, Akbar 10 Wu, Gang 9 Breiten, Tobias 9 Chen, Hao 9 Jia, Zhongxiao 9 Jiang, Yaolin 9 Popolizio, Marina 9 Scacchi, Simone 9 Zhang, Jianhua 9 Zhang, Shao-Liang 9 Zheng, Qingqing 8 Di Pietro, Daniele Antonio 8 Fan, Hongtao 8 Faßbender, Heike 8 Mehrmann, Volker 8 Shashkov, Mikhail J. 8 Sleijpen, Gerard L. G. 8 Tajaddini, Azita 8 Van Gijzen, Martin Bastiaan 8 Zheng, Bing 7 Cao, Zhihao 7 Carson, Erin Claire 7 Druskin, Vladimir 7 Durastante, Fabio 7 Elbouyahyaoui, Lakhdar 7 Ferronato, Massimiliano 7 Freitag, Melina A. 7 Garrappa, Roberto 7 Gratton, Serge 7 Greif, Chen 7 Hached, Mustapha 7 Jarlebring, Elias 7 Li, Beibei 7 Li, Chengliang 7 Liu, Jun 7 Lund, Kathryn 7 Martínez, Ángeles 7 Moret, Igor 7 Shen, Shuqian 7 Stykel, Tatjana 7 Su, Shuai 7 Tani, Mattia 7 Wathen, Andrew John ...and 2,231 more Authors all top 5 Cited in 240 Serials 145 Journal of Computational and Applied Mathematics 105 Numerical Linear Algebra with Applications 98 Computers & Mathematics with Applications 95 Numerical Algorithms 91 SIAM Journal on Scientific Computing 81 Journal of Computational Physics 77 Linear Algebra and its Applications 73 Applied Mathematics and Computation 70 SIAM Journal on Matrix Analysis and Applications 64 Applied Numerical Mathematics 59 Computer Methods in Applied Mechanics and Engineering 49 Journal of Scientific Computing 44 BIT 43 Numerische Mathematik 34 Computational and Applied Mathematics 32 International Journal of Computer Mathematics 28 ETNA. 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Zeitschrift für Angewandte Mathematik und Mechanik 4 Mediterranean Journal of Mathematics 4 Bollettino dell’Unione Matematica Italiana 4 Mathematics in Engineering 3 Journal of Engineering Mathematics 3 Automatica 3 Computing 3 Applications of Mathematics 3 Computational Mathematics and Mathematical Physics 3 Automation and Remote Control 3 Turkish Journal of Mathematics 3 Filomat 3 Vietnam Journal of Mathematics 3 Soft Computing 3 Journal of Inequalities and Applications 3 The ANZIAM Journal 3 Communications in Computational Physics 3 Numerical Mathematics: Theory, Methods and Applications 3 IET Control Theory & Applications 3 Asian Journal of Control 3 Journal of Applied Analysis and Computation 3 Journal of Mathematical Modeling 3 AIMS Mathematics 3 Communications on Applied Mathematics and Computation 2 International Journal for Numerical and Analytical Methods in Geomechanics 2 International Journal for Numerical Methods in Fluids 2 Inverse Problems 2 Journal of Mathematical Biology 2 SIAM Journal on Control and Optimization 2 Mathematica Numerica Sinica 2 Computer Aided Geometric Design ...and 140 more Serials all top 5 Cited in 47 Fields 1,673 Numerical analysis (65-XX) 437 Linear and multilinear algebra; matrix theory (15-XX) 318 Partial differential equations (35-XX) 161 Fluid mechanics (76-XX) 147 Systems theory; control (93-XX) 111 Calculus of variations and optimal control; optimization (49-XX) 84 Operations research, mathematical programming (90-XX) 74 Mechanics of deformable solids (74-XX) 60 Biology and other natural sciences (92-XX) 46 Ordinary differential equations (34-XX) 42 Operator theory (47-XX) 38 Optics, electromagnetic theory (78-XX) 35 Computer science (68-XX) 34 Probability theory and stochastic processes (60-XX) 26 Dynamical systems and ergodic theory (37-XX) 21 Approximations and expansions (41-XX) 19 Geophysics (86-XX) 18 Statistics (62-XX) 16 Statistical mechanics, structure of matter (82-XX) 16 Information and communication theory, circuits (94-XX) 15 Functions of a complex variable (30-XX) 14 Real functions (26-XX) 13 Quantum theory (81-XX) 12 Combinatorics (05-XX) 11 Special functions (33-XX) 10 Mechanics of particles and systems (70-XX) 8 Functional analysis (46-XX) 7 Integral equations (45-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Difference and functional equations (39-XX) 4 Integral transforms, operational calculus (44-XX) 4 Differential geometry (53-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 History and biography (01-XX) 3 Field theory and polynomials (12-XX) 3 Potential theory (31-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 General and overarching topics; collections (00-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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