A Quasi-Minimal Residual Variant of the Bi-CGSTAB Algorithm for Nonsymmetric Systems. - Tony F. Chan; Efstratios Gallopoulos; Valeria Simoncini; Tedd Szeto; Charles H. Tong (SIAM J. Sci. Comput., 1994)

An Iterative Method for Nonsymmetric Systems with Multiple Right-Hand Sides. - Valeria Simoncini; Efstratios Gallopoulos (SIAM J. Sci. Comput., 1995)

An algorithm for approximating the singular triplets of complex symmetric matrices. - Valeria Simoncini; Eva Sjöström (Numer. Linear Algebra Appl., 1997)

A Stabilized QMR Version of Block BiCG. - Valeria Simoncini (SIAM J. Matrix Anal. Appl., 1997)

A matrix analysis of Arnoldi and Lanczos methods. - Valeria Simoncini (Numerische Mathematik, 1998)

A new variant of restarted GMRES. - Valeria Simoncini (Numer. Linear Algebra Appl., 1999)

Linear Algebra Methods in a Mixed Approximation of Magnetostatic Problems. - Ilaria Perugia; Valeria Simoncini; Mario Arioli (SIAM J. Sci. Comput., 1999)

Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations. - Ilaria Perugia; Valeria Simoncini (Numer. Linear Algebra Appl., 2000)

On the Convergence of Restarted Krylov Subspace Methods. - Valeria Simoncini (SIAM J. Matrix Anal. Appl., 2000)

Parallel Computation of Pseudospectra Using Transfer Functions on a MATLAB-MPI Cluster Platform. - Constantine Bekas; Effrosini Kokiopoulou; Efstratios Gallopoulos; Valeria Simoncini (PVM/MPI, 2002)

Krylov Subspace Methods for Saddle Point Problems with Indefinite Preconditioning. - Miroslav Rozlozník; Valeria Simoncini (SIAM J. Matrix Anal. Appl., 2002)

Flexible Inner-Outer Krylov Subspace Methods. - Valeria Simoncini; Daniel B. Szyld (SIAM J. Numer. Anal., 2002)

On the Numerical Solution of (λ2 A + λ B + C), x = b and Application to Structural Dynamics. - Valeria Simoncini; Federico Perotti (SIAM J. Sci. Comput., 2002)

Algebraic formulations for the solution of the nullspace-free eigenvalue problem using the inexact Shift-and-Invert Lanczos method. - Valeria Simoncini (Numer. Linear Algebra Appl., 2003)

Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing. - Valeria Simoncini; Daniel B. Szyld (SIAM J. Sci. Comput., 2003)

Spectral Properties of the Hermitian and Skew-Hermitian Splitting Preconditioner for Saddle Point Problems. - Valeria Simoncini; Michele Benzi (SIAM J. Matrix Anal. Appl., 2004)

Numerical solution of parameter-dependent linear systems. - Guiding Gu; Valeria Simoncini (Numer. Linear Algebra Appl., 2005)

The effect of non-optimal bases on the convergence of Krylov subspace methods. - Valeria Simoncini; Daniel B. Szyld (Numerische Mathematik, 2005)

Variable Accuracy of Matrix-Vector Products in Projection Methods for Eigencomputation. - Valeria Simoncini (SIAM J. Numer. Anal., 2005)

On the Occurrence of Superlinear Convergence of Exact and Inexact Krylov Subspace Methods. - Valeria Simoncini; Daniel B. Szyld (SIAM Rev., 2005)

On the eigenvalues of a class of saddle point matrices. - Michele Benzi; Valeria Simoncini (Numerische Mathematik, 2006)

Analysis of Projection Methods for Rational Function Approximation to the Matrix Exponential. - Luciano Lopez; Valeria Simoncini (SIAM J. Numer. Anal., 2006)

Recent computational developments in Krylov subspace methods for linear systems. - Valeria Simoncini; Daniel B. Szyld (Numer. Linear Algebra Appl., 2007)

A New Iterative Method for Solving Large-Scale Lyapunov Matrix Equations. - Valeria Simoncini (SIAM J. Sci. Comput., 2007)

Error Bounds for Lanczos Approximations of Rational Functions of Matrices. - Andreas Frommer; Valeria Simoncini (Numerical Validation in Current Hardware Architectures, 2008)

Substructuring Preconditioners for Mortar Discretization of a Degenerate Evolution Problem. - Micol Pennacchio; Valeria Simoncini (J. Sci. Comput., 2008)

New conditions for non-stagnation of minimal residual methods. - Valeria Simoncini; Daniel B. Szyld (Numerische Mathematik, 2008)

Acceleration Techniques for Approximating the Matrix Exponential Operator. - Marina Popolizio; Valeria Simoncini (SIAM J. Matrix Anal. Appl., 2008)

Stopping Criteria for Rational Matrix Functions of Hermitian and Symmetric Matrices. - Andreas Frommer; Valeria Simoncini (SIAM J. Sci. Comput., 2008)

Spectral Analysis of Saddle Point Matrices with Indefinite Leading Blocks. - Nicholas I. M. Gould; Valeria Simoncini (SIAM J. Matrix Anal. Appl., 2009)

Convergence Analysis of Projection Methods for the Numerical Solution of Large Lyapunov Equations. - Valeria Simoncini; Vladimir Druskin (SIAM J. Numer. Anal., 2009)

Solution of linear systems from an optimal control problem arising in wind simulation. - Michele Benzi; Luis Ferragut; Micol Pennacchio; Valeria Simoncini (Numer. Linear Algebra Appl., 2010)

A new investigation of the extended Krylov subspace method for matrix function evaluations. - Leonid Knizhnerman; Valeria Simoncini (Numer. Linear Algebra Appl., 2010)

Acquired Clustering Properties and Solution of Certain Saddle Point Systems. - Maxim A. Olshanskii; Valeria Simoncini (SIAM J. Matrix Anal. Appl., 2010)

Interpreting IDR as a Petrov–Galerkin Method. - Valeria Simoncini; Daniel B. Szyld (SIAM J. Sci. Comput., 2010)

Convergence analysis of the extended Krylov subspace method for the Lyapunov equation. - Leonid Knizhnerman; Valeria Simoncini (Numerische Mathematik, 2011)

Adaptive rational Krylov subspaces for large-scale dynamical systems. - Vladimir Druskin; Valeria Simoncini (Syst. Control. Lett., 2011)

Analysis of the Rational Krylov Subspace and ADI Methods for Solving the Lyapunov Equation. - Vladimir Druskin; Leonid Knizhnerman; Valeria Simoncini (SIAM J. Numer. Anal., 2011)

Fast Structured AMG Preconditioning for the Bidomain Model in Electrocardiology. - Micol Pennacchio; Valeria Simoncini (SIAM J. Sci. Comput., 2011)

An Optimal Iterative Solver for Symmetric Indefinite Systems Stemming from Mixed Approximation. - David J. Silvester; Valeria Simoncini (ACM Trans. Math. Softw., 2011)

Reduced order solution of structured linear systems arising in certain PDE-constrained optimization problems. - Valeria Simoncini (Comput. Optim. Appl., 2012)

Solving Ill-Posed Linear Systems with GMRES and a Singular Preconditioner. - Lars Eldén; Valeria Simoncini (SIAM J. Matrix Anal. Appl., 2012)

Efficient Preconditioning for an Optimal Control Problem with the Time-Periodic Stokes Equations. - Wolfgang Krendl; Valeria Simoncini; Walter Zulehner (ENUMATH, 2013)

Stability estimates and structural spectral properties of saddle point problems. - Wolfgang Krendl; Valeria Simoncini; Walter Zulehner (Numerische Mathematik, 2013)

Krylov Subspace Methods for Large-Scale Constrained Sylvester Equations. - Stephen D. Shank; Valeria Simoncini (SIAM J. Matrix Anal. Appl., 2013)

Solution of the Time-Domain Inverse Resistivity Problem in the Model Reduction Framework Part I. One-Dimensional Problem with SISO Data. - Vladimir Druskin; Valeria Simoncini; Mikhail Zaslavsky (SIAM J. Sci. Comput., 2013)

Adaptive Tangential Interpolation in Rational Krylov Subspaces for MIMO Dynamical Systems. - Vladimir Druskin; Valeria Simoncini; Mikhail Zaslavsky (SIAM J. Matrix Anal. Appl., 2014)

Contraction and Optimality Properties of an Adaptive Legendre-Galerkin Method: The Multi-Dimensional Case. - Claudio Canuto; Valeria Simoncini; Marco Verani (J. Sci. Comput., 2015)

A new subspace iteration method for the algebraic Riccati equation. - Yiding Lin; Valeria Simoncini (Numer. Linear Algebra Appl., 2015)

Decay Bounds for Functions of Hermitian Matrices with Banded or Kronecker Structure. - Michele Benzi; Valeria Simoncini (SIAM J. Matrix Anal. Appl., 2015)

Preconditioning of Active-Set Newton Methods for PDE-constrained Optimal Control Problems. - Margherita Porcelli; Valeria Simoncini; Mattia Tani (SIAM J. Sci. Comput., 2015)

Projection methods for large-scale T-Sylvester equations. - Froilán M. Dopico; Javier González; Daniel Kressner; Valeria Simoncini (Math. Comput., 2016)

Spectral estimates for unreduced symmetric KKT systems arising from Interior Point methods. - Benedetta Morini; Valeria Simoncini; Mattia Tani (Numer. Linear Algebra Appl., 2016)

Efficient low-rank solution of generalized Lyapunov equations. - Stephen D. Shank; Valeria Simoncini; Daniel B. Szyld (Numerische Mathematik, 2016)

Analysis of the Rational Krylov Subspace Projection Method for Large-Scale Algebraic Riccati Equations. - Valeria Simoncini (SIAM J. Matrix Anal. Appl., 2016)

Computational Methods for Linear Matrix Equations. - Valeria Simoncini (SIAM Rev., 2016)

Preconditioning PDE-constrained optimization with L1-sparsity and control constraints. - Margherita Porcelli; Valeria Simoncini; Martin Stoll (Comput. Math. Appl., 2017)

A comparison of reduced and unreduced KKT systems arising from interior point methods. - Benedetta Morini; Valeria Simoncini; Mattia Tani (Comput. Optim. Appl., 2017)

Stability and Accuracy of Inexact Interior Point Methods for Convex Quadratic Programming. - Benedetta Morini; Valeria Simoncini (J. Optim. Theory Appl., 2017)

Approximation of functions of large matrices with Kronecker structure. - Michele Benzi; Valeria Simoncini (Numerische Mathematik, 2017)

An Efficient Reduced Basis Solver for Stochastic Galerkin Matrix Equations. - Catherine Elizabeth Powell; David J. Silvester; Valeria Simoncini (SIAM J. Sci. Comput., 2017)

Computationally enhanced projection methods for symmetric Sylvester and Lyapunov matrix equations. - Davide Palitta; Valeria Simoncini (J. Comput. Appl. Math., 2018)

7th Workshop on Matrix Equations and Tensor Techniques. - Peter Benner; Heike Faßbender; Lars Grasedyck; Daniel Kressner; Beatrice Meini; Valeria Simoncini (Numer. Linear Algebra Appl., 2018)

Numerical Methods for Large-Scale Lyapunov Equations with Symmetric Banded Data. - Davide Palitta; Valeria Simoncini (SIAM J. Sci. Comput., 2018)

Matrix Oriented Reduction of Space-Time Petrov-Galerkin Variational Problems. - Julian Henning; Davide Palitta; Valeria Simoncini; Karsten Urban (ENUMATH, 2019)

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations. - Davide Palitta; Valeria Simoncini (CoRR, 2019)

A GMRES Convergence Analysis for Localized Invariant Subspace Ill-Conditioning. - Giulia Sacchi; Valeria Simoncini (SIAM J. Matrix Anal. Appl., 2019)

Matrix-oriented discretization methods for reaction-diffusion PDEs: Comparisons and applications. - Maria Chiara D'Autilia; Ivonne Sgura; Valeria Simoncini (Comput. Math. Appl., 2020)

A matrix-oriented POD-DEIM algorithm applied to nonlinear differential matrix equations. - Gerhard Kirsten; Valeria Simoncini (CoRR, 2020)

Error estimates for iterative algorithms for minimizing regularized quadratic subproblems. - Nicholas I. M. Gould; Valeria Simoncini (Optim. Methods Softw., 2020)

Order Reduction Methods for Solving Large-Scale Differential Matrix Riccati Equations. - Gerhard Kirsten; Valeria Simoncini (SIAM J. Sci. Comput., 2020)

A Tensor-Train Dictionary Learning algorithm based on Spectral Proximal Alternating Linearized Minimization. - Domitilla Brandoni; Margherita Porcelli; Valeria Simoncini (CoRR, 2021)

Very Weak Space-Time Variational Formulation for the Wave Equation: Analysis and Efficient Numerical Solution. - Julian Henning; Davide Palitta; Valeria Simoncini; Karsten Urban (CoRR, 2021)

Matrix equation solving of PDEs in polygonal domains using conformal mappings. - Yue Hao 005; Valeria Simoncini (J. Num. Math., 2021)

The Sherman-Morrison-Woodbury formula for generalized linear matrix equations and applications. - Yue Hao 005; Valeria Simoncini (Numer. Linear Algebra Appl., 2021)

Functions of rational Krylov space matrices and their decay properties. - Stefano Pozza; Valeria Simoncini (Numerische Mathematik, 2021)

A Low-Rank Matrix Equation Method for Solving PDE-Constrained Optimization Problems. - Alexandra Bünger; Valeria Simoncini; Martin Stoll (SIAM J. Sci. Comput., 2021)

Numerical solution of a class of quasi-linear matrix equations. - Margherita Porcelli; Valeria Simoncini (CoRR, 2022)

The Short-Term Rational Lanczos Method and Applications. - Davide Palitta; Stefano Pozza; Valeria Simoncini (SIAM J. Sci. Comput., 2022)

Regularized methods via cubic subspace minimization for nonconvex optimization. - Stefania Bellavia; Davide Palitta; Margherita Porcelli; Valeria Simoncini (CoRR, 2023)

Sketched and Truncated Polynomial Krylov Subspace Methods: Matrix Equations. - Davide Palitta; Marcel Schweitzer; Valeria Simoncini (CoRR, 2023)

State-dependent Riccati equation feedback stabilization for nonlinear PDEs. - Alessandro Alla; Dante Kalise; Valeria Simoncini (Adv. Comput. Math., 2023)

Analysis of the Truncated Conjugate Gradient Method for Linear Matrix Equations. - Valeria Simoncini; Yue Hao 005 (SIAM J. Matrix Anal. Appl., 2023)

Preface. - Alessandro Russo 002; Luciano Lopez; Valeria Simoncini (Comput. Math. Appl., 2024)

Monotonicity, bounds and extrapolation of Block-Gauss and Gauss-Radau quadrature for computing BT φ (A) B. - Jörn T. Zimmerling; Vladimir Druskin; Valeria Simoncini (CoRR, 2024)

Sketched and truncated polynomial Krylov subspace methods: Matrix Sylvester equations. - Davide Palitta; Marcel Schweitzer; Valeria Simoncini (Math. Comput., 2024)

Multigrid Preconditioning for Discontinuous Galerkin Discretizations of an Elliptic Optimal Control Problem with a Convection-Dominated State Equation. - Sijing Liu; Valeria Simoncini (J. Sci. Comput., 2024)

Stabilized Krylov Subspace Recurrences via Randomized Sketching. - Valeria Simoncini; Yihong Wang (Numer. Linear Algebra Appl., 2025)

A subspace-conjugate gradient method for linear matrix equations. - Davide Palitta; Martina Iannacito; Valeria Simoncini (CoRR, 2025)

TT-LSQR For Tensor Least Squares Problems and Application to Data Mining. - Lorenzo Piccinini; Valeria Simoncini (CoRR, 2025)

Sketched and Truncated Polynomial Krylov Methods: Evaluation of Matrix Functions. - Davide Palitta; Marcel Schweitzer; Valeria Simoncini (Numer. Linear Algebra Appl., 2025)

Regularized methods via cubic model subspace minimization for nonconvex optimization. - Stefania Bellavia; Davide Palitta; Margherita Porcelli; Valeria Simoncini (Comput. Optim. Appl., 2025)

Monotonicity, Bounds and Acceleration of Block Gauss and Gauss-Radau Quadrature for Computing BT φ (A) B. - Jörn T. Zimmerling; Vladimir Druskin; Valeria Simoncini (J. Sci. Comput., 2025)

S⊤S-SVD and the Nearest Sketched Orthogonal Matrix. - Davide Palitta; Valeria Simoncini (CoRR, 2025)

Truncated LSQR for matrix least squares problems. - Lorenzo Piccinini; Valeria Simoncini (Comput. Optim. Appl., 2025)

Correction: Regularized methods via cubic model subspace minimization for nonconvex optimization. - Stefania Bellavia; Davide Palitta; Margherita Porcelli; Valeria Simoncini (Comput. Optim. Appl., 2025)