Valeria Simoncini

Publication Activity (10 Years)

Years Active: 1994-2024
Publications (10 Years): 40

Top Topics

Numerical Solution

Discretization Methods

Generalized Linear

Constrained Optimization

Top Venues

SIAM J. Sci. Comput.

SIAM J. Matrix Anal. Appl.

Numer. Linear Algebra Appl.

Publications

Alessandro Russo, Luciano Lopez, Valeria Simoncini
Preface. Comput. Math. Appl. 166 (2024)
Sijing Liu, Valeria Simoncini
Multigrid preconditioning for discontinuous Galerkin discretizations of an elliptic optimal control problem with a convection-dominated state equation. CoRR (2024)
Jörn T. Zimmerling, Vladimir Druskin, Valeria Simoncini
φ (A) B. CoRR (2024)
Davide Palitta, Marcel Schweitzer, Valeria Simoncini
Sketched and truncated polynomial Krylov methods: Evaluation of matrix functions. CoRR (2023)
Stefania Bellavia, Davide Palitta, Margherita Porcelli, Valeria Simoncini
Regularized methods via cubic subspace minimization for nonconvex optimization. CoRR (2023)
Davide Palitta, Marcel Schweitzer, Valeria Simoncini
Sketched and Truncated Polynomial Krylov Subspace Methods: Matrix Equations. CoRR (2023)
Alessandro Alla, Dante Kalise, Valeria Simoncini
State-dependent Riccati equation feedback stabilization for nonlinear PDEs. Adv. Comput. Math. 49 (1) (2023)
Valeria Simoncini, Yue Hao
Analysis of the Truncated Conjugate Gradient Method for Linear Matrix Equations. SIAM J. Matrix Anal. Appl. 44 (1) (2023)
Margherita Porcelli, Valeria Simoncini
Numerical solution of a class of quasi-linear matrix equations. CoRR (2022)
Davide Palitta, Stefano Pozza, Valeria Simoncini
The Short-Term Rational Lanczos Method and Applications. SIAM J. Sci. Comput. 44 (4) (2022)
Alessandro Alla, Dante Kalise, Valeria Simoncini
State-dependent Riccati equation feedback stabilization for nonlinear PDEs. CoRR (2021)
Domitilla Brandoni, Margherita Porcelli, Valeria Simoncini
A Tensor-Train Dictionary Learning algorithm based on Spectral Proximal Alternating Linearized Minimization. CoRR (2021)
Yue Hao, Valeria Simoncini
The Sherman-Morrison-Woodbury formula for generalized linear matrix equations and applications. Numer. Linear Algebra Appl. 28 (5) (2021)
Yue Hao, Valeria Simoncini
Matrix equation solving of PDEs in polygonal domains using conformal mappings. J. Num. Math. 29 (3) (2021)
Julian Henning, Davide Palitta, Valeria Simoncini, Karsten Urban
Very Weak Space-Time Variational Formulation for the Wave Equation: Analysis and Efficient Numerical Solution. CoRR (2021)
Alexandra Bünger, Valeria Simoncini, Martin Stoll
A Low-Rank Matrix Equation Method for Solving PDE-Constrained Optimization Problems. SIAM J. Sci. Comput. 43 (5) (2021)
Stefano Pozza, Valeria Simoncini
Functions of rational Krylov space matrices and their decay properties. Numerische Mathematik 148 (1) (2021)
Davide Palitta, Stefano Pozza, Valeria Simoncini
The Short-term Rational Lanczos Method and Applications. CoRR (2021)
Alexandra Bünger, Valeria Simoncini, Martin Stoll
A low-rank matrix equation method for solving PDE-constrained optimization problems. CoRR (2020)
Gerhard Kirsten, Valeria Simoncini
A matrix-oriented POD-DEIM algorithm applied to nonlinear differential matrix equations. CoRR (2020)
Nicholas I. M. Gould, Valeria Simoncini
Error estimates for iterative algorithms for minimizing regularized quadratic subproblems. Optim. Methods Softw. 35 (2) (2020)
Gerhard Kirsten, Valeria Simoncini
Order Reduction Methods for Solving Large-Scale Differential Matrix Riccati Equations. SIAM J. Sci. Comput. 42 (4) (2020)
Maria Chiara D'Autilia, Ivonne Sgura, Valeria Simoncini
Matrix-oriented discretization methods for reaction-diffusion PDEs: Comparisons and applications. Comput. Math. Appl. 79 (7) (2020)
Giulia Sacchi, Valeria Simoncini
A GMRES Convergence Analysis for Localized Invariant Subspace Ill-Conditioning. SIAM J. Matrix Anal. Appl. 40 (2) (2019)
Julian Henning, Davide Palitta, Valeria Simoncini, Karsten Urban
Matrix Oriented Reduction of Space-Time Petrov-Galerkin Variational Problems. ENUMATH (2019)
Davide Palitta, Valeria Simoncini
Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations. CoRR (2019)
Julian Henning, Davide Palitta, Valeria Simoncini, Karsten Urban
Matrix oriented reduction of space-time Petrov-Galerkin variational problems. CoRR (2019)
Peter Benner, Heike Faßbender, Lars Grasedyck, Daniel Kressner, Beatrice Meini, Valeria Simoncini
7th Workshop on Matrix Equations and Tensor Techniques. Numer. Linear Algebra Appl. 25 (6) (2018)
Davide Palitta, Valeria Simoncini
Numerical Methods for Large-Scale Lyapunov Equations with Symmetric Banded Data. SIAM J. Sci. Comput. 40 (5) (2018)
Davide Palitta, Valeria Simoncini
Computationally enhanced projection methods for symmetric Sylvester and Lyapunov matrix equations. J. Comput. Appl. Math. 330 (2018)
Benedetta Morini, Valeria Simoncini, Mattia Tani
A comparison of reduced and unreduced KKT systems arising from interior point methods. Comput. Optim. Appl. 68 (1) (2017)
Benedetta Morini, Valeria Simoncini
Stability and Accuracy of Inexact Interior Point Methods for Convex Quadratic Programming. J. Optim. Theory Appl. 175 (2) (2017)
Michele Benzi, Valeria Simoncini
Approximation of functions of large matrices with Kronecker structure. Numerische Mathematik 135 (1) (2017)
Catherine Elizabeth Powell, David J. Silvester, Valeria Simoncini
An Efficient Reduced Basis Solver for Stochastic Galerkin Matrix Equations. SIAM J. Sci. Comput. 39 (1) (2017)
Margherita Porcelli, Valeria Simoncini, Martin Stoll
Preconditioning PDE-constrained optimization with L1-sparsity and control constraints. Comput. Math. Appl. 74 (5) (2017)
Stephen D. Shank, Valeria Simoncini, Daniel B. Szyld
Efficient low-rank solution of generalized Lyapunov equations. Numerische Mathematik 134 (2) (2016)
Valeria Simoncini
Computational Methods for Linear Matrix Equations. SIAM Rev. 58 (3) (2016)
Valeria Simoncini
Analysis of the Rational Krylov Subspace Projection Method for Large-Scale Algebraic Riccati Equations. SIAM J. Matrix Anal. Appl. 37 (4) (2016)
Froilán M. Dopico, Javier González, Daniel Kressner, Valeria Simoncini
Projection methods for large-scale T-Sylvester equations. Math. Comput. 85 (301) (2016)
Benedetta Morini, Valeria Simoncini, Mattia Tani
Spectral estimates for unreduced symmetric KKT systems arising from Interior Point methods. Numer. Linear Algebra Appl. 23 (5) (2016)
Margherita Porcelli, Valeria Simoncini, Mattia Tani
Preconditioning of Active-Set Newton Methods for PDE-constrained Optimal Control Problems. SIAM J. Sci. Comput. 37 (5) (2015)
Michele Benzi, Valeria Simoncini
Decay Bounds for Functions of Hermitian Matrices with Banded or Kronecker Structure. SIAM J. Matrix Anal. Appl. 36 (3) (2015)
Yiding Lin, Valeria Simoncini
A new subspace iteration method for the algebraic Riccati equation. Numer. Linear Algebra Appl. 22 (1) (2015)
Claudio Canuto, Valeria Simoncini, Marco Verani
Contraction and Optimality Properties of an Adaptive Legendre-Galerkin Method: The Multi-Dimensional Case. J. Sci. Comput. 63 (3) (2015)
Vladimir Druskin, Valeria Simoncini, Mikhail Zaslavsky
Adaptive Tangential Interpolation in Rational Krylov Subspaces for MIMO Dynamical Systems. SIAM J. Matrix Anal. Appl. 35 (2) (2014)
Vladimir Druskin, Valeria Simoncini, Mikhail Zaslavsky
Solution of the Time-Domain Inverse Resistivity Problem in the Model Reduction Framework Part I. One-Dimensional Problem with SISO Data. SIAM J. Sci. Comput. 35 (3) (2013)
Wolfgang Krendl, Valeria Simoncini, Walter Zulehner
Efficient Preconditioning for an Optimal Control Problem with the Time-Periodic Stokes Equations. ENUMATH (2013)
Wolfgang Krendl, Valeria Simoncini, Walter Zulehner
Stability estimates and structural spectral properties of saddle point problems. Numerische Mathematik 124 (1) (2013)
Stephen D. Shank, Valeria Simoncini
Krylov Subspace Methods for Large-Scale Constrained Sylvester Equations. SIAM J. Matrix Anal. Appl. 34 (4) (2013)
Lars Eldén, Valeria Simoncini
Solving Ill-Posed Linear Systems with GMRES and a Singular Preconditioner. SIAM J. Matrix Anal. Appl. 33 (4) (2012)
Valeria Simoncini
Reduced order solution of structured linear systems arising in certain PDE-constrained optimization problems. Comput. Optim. Appl. 53 (2) (2012)
David J. Silvester, Valeria Simoncini
An Optimal Iterative Solver for Symmetric Indefinite Systems Stemming from Mixed Approximation. ACM Trans. Math. Softw. 37 (4) (2011)
Vladimir Druskin, Valeria Simoncini
Adaptive rational Krylov subspaces for large-scale dynamical systems. Syst. Control. Lett. 60 (8) (2011)
Vladimir Druskin, Leonid Knizhnerman, Valeria Simoncini
Analysis of the Rational Krylov Subspace and ADI Methods for Solving the Lyapunov Equation. SIAM J. Numer. Anal. 49 (5) (2011)
Leonid Knizhnerman, Valeria Simoncini
Convergence analysis of the extended Krylov subspace method for the Lyapunov equation. Numerische Mathematik 118 (3) (2011)
Micol Pennacchio, Valeria Simoncini
Fast Structured AMG Preconditioning for the Bidomain Model in Electrocardiology. SIAM J. Sci. Comput. 33 (2) (2011)
Valeria Simoncini, Daniel B. Szyld
Interpreting IDR as a Petrov--Galerkin Method. SIAM J. Sci. Comput. 32 (4) (2010)
Leonid Knizhnerman, Valeria Simoncini
A new investigation of the extended Krylov subspace method for matrix function evaluations. Numer. Linear Algebra Appl. 17 (4) (2010)
Michele Benzi, Luis Ferragut, Micol Pennacchio, Valeria Simoncini
Solution of linear systems from an optimal control problem arising in wind simulation. Numer. Linear Algebra Appl. 17 (6) (2010)
Maxim A. Olshanskii, Valeria Simoncini
Acquired Clustering Properties and Solution of Certain Saddle Point Systems. SIAM J. Matrix Anal. Appl. 31 (5) (2010)
Nicholas I. M. Gould, Valeria Simoncini
Spectral Analysis of Saddle Point Matrices with Indefinite Leading Blocks. SIAM J. Matrix Anal. Appl. 31 (3) (2009)
Valeria Simoncini, Vladimir Druskin
Convergence Analysis of Projection Methods for the Numerical Solution of Large Lyapunov Equations. SIAM J. Numer. Anal. 47 (2) (2009)
Valeria Simoncini, Daniel B. Szyld
New conditions for non-stagnation of minimal residual methods. Numerische Mathematik 109 (3) (2008)
Andreas Frommer, Valeria Simoncini
Error Bounds for Lanczos Approximations of Rational Functions of Matrices. Numerical Validation in Current Hardware Architectures (2008)
Marina Popolizio, Valeria Simoncini
Acceleration Techniques for Approximating the Matrix Exponential Operator. SIAM J. Matrix Anal. Appl. 30 (2) (2008)
Andreas Frommer, Valeria Simoncini
Stopping Criteria for Rational Matrix Functions of Hermitian and Symmetric Matrices. SIAM J. Sci. Comput. 30 (3) (2008)
Micol Pennacchio, Valeria Simoncini
Substructuring Preconditioners for Mortar Discretization of a Degenerate Evolution Problem. J. Sci. Comput. 36 (3) (2008)
Valeria Simoncini
A New Iterative Method for Solving Large-Scale Lyapunov Matrix Equations. SIAM J. Sci. Comput. 29 (3) (2007)
Valeria Simoncini, Daniel B. Szyld
Recent computational developments in Krylov subspace methods for linear systems. Numer. Linear Algebra Appl. 14 (1) (2007)
Luciano Lopez, Valeria Simoncini
Analysis of Projection Methods for Rational Function Approximation to the Matrix Exponential. SIAM J. Numer. Anal. 44 (2) (2006)
Michele Benzi, Valeria Simoncini
On the eigenvalues of a class of saddle point matrices. Numerische Mathematik 103 (2) (2006)
Valeria Simoncini, Daniel B. Szyld
The effect of non-optimal bases on the convergence of Krylov subspace methods. Numerische Mathematik 100 (4) (2005)
Guiding Gu, Valeria Simoncini
Numerical solution of parameter-dependent linear systems. Numer. Linear Algebra Appl. 12 (9) (2005)
Valeria Simoncini, Daniel B. Szyld
On the Occurrence of Superlinear Convergence of Exact and Inexact Krylov Subspace Methods. SIAM Rev. 47 (2) (2005)
Valeria Simoncini
Variable Accuracy of Matrix-Vector Products in Projection Methods for Eigencomputation. SIAM J. Numer. Anal. 43 (3) (2005)
Valeria Simoncini, Michele Benzi
Spectral Properties of the Hermitian and Skew-Hermitian Splitting Preconditioner for Saddle Point Problems. SIAM J. Matrix Anal. Appl. 26 (2) (2004)
Valeria Simoncini, Daniel B. Szyld
Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing. SIAM J. Sci. Comput. 25 (2) (2003)
Valeria Simoncini
Algebraic formulations for the solution of the nullspace-free eigenvalue problem using the inexact Shift-and-Invert Lanczos method. Numer. Linear Algebra Appl. 10 (4) (2003)
Valeria Simoncini, Daniel B. Szyld
Flexible Inner-Outer Krylov Subspace Methods. SIAM J. Numer. Anal. 40 (6) (2002)
Constantine Bekas, Effrosini Kokiopoulou, Efstratios Gallopoulos, Valeria Simoncini
Parallel Computation of Pseudospectra Using Transfer Functions on a MATLAB-MPI Cluster Platform. PVM/MPI (2002)
Valeria Simoncini, Federico Perotti
A + λ B + C), x = b and Application to Structural Dynamics. SIAM J. Sci. Comput. 23 (6) (2002)
Miroslav Rozlozník, Valeria Simoncini
Krylov Subspace Methods for Saddle Point Problems with Indefinite Preconditioning. SIAM J. Matrix Anal. Appl. 24 (2) (2002)
Ilaria Perugia, Valeria Simoncini
Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations. Numer. Linear Algebra Appl. 7 (7-8) (2000)
Valeria Simoncini
On the Convergence of Restarted Krylov Subspace Methods. SIAM J. Matrix Anal. Appl. 22 (2) (2000)
Ilaria Perugia, Valeria Simoncini, Mario Arioli
Linear Algebra Methods in a Mixed Approximation of Magnetostatic Problems. SIAM J. Sci. Comput. 21 (3) (1999)
Valeria Simoncini
A new variant of restarted GMRES. Numer. Linear Algebra Appl. 6 (1) (1999)
Valeria Simoncini
A matrix analysis of Arnoldi and Lanczos methods. Numerische Mathematik 81 (1) (1998)
Valeria Simoncini
A Stabilized QMR Version of Block BiCG. SIAM J. Matrix Anal. Appl. 18 (2) (1997)
Valeria Simoncini, Eva Sjöström
An algorithm for approximating the singular triplets of complex symmetric matrices. Numer. Linear Algebra Appl. 4 (6) (1997)
Valeria Simoncini, Efstratios Gallopoulos
An Iterative Method for Nonsymmetric Systems with Multiple Right-Hand Sides. SIAM J. Sci. Comput. 16 (4) (1995)
Tony F. Chan, Efstratios Gallopoulos, Valeria Simoncini, Tedd Szeto, Charles H. Tong
A Quasi-Minimal Residual Variant of the Bi-CGSTAB Algorithm for Nonsymmetric Systems. SIAM J. Sci. Comput. 15 (2) (1994)