Valeria Simoncini

J. Sci. Comput., December, 2024

Monotonicity, bounds and extrapolation of Block-Gauss and Gauss-Radau quadrature for computing B<sup>T</sup> φ (A) B.

[BibT_eX]

[DOI]

Jörn T. Zimmerling

CoRR, 2024

Preface.

[BibT_eX]

[DOI]

Alessandro Russo

Luciano Lopez

Comput. Math. Appl., 2024

2023

Analysis of the Truncated Conjugate Gradient Method for Linear Matrix Equations.

[BibT_eX]

[DOI]

Yue Hao

SIAM J. Matrix Anal. Appl., March, 2023

State-dependent Riccati equation feedback stabilization for nonlinear PDEs.

[BibT_eX]

[DOI]

Alessandro Alla

Dante Kalise

Adv. Comput. Math., February, 2023

Sketched and Truncated Polynomial Krylov Subspace Methods: Matrix Equations.

[BibT_eX]

[DOI]

Marcel Schweitzer

CoRR, 2023

Regularized methods via cubic subspace minimization for nonconvex optimization.

[BibT_eX]

[DOI]

CoRR, 2023

Sketched and truncated polynomial Krylov methods: Evaluation of matrix functions.

[BibT_eX]

[DOI]

Marcel Schweitzer

CoRR, 2023

2022

The Short-Term Rational Lanczos Method and Applications.

[BibT_eX]

[DOI]

Stefano Pozza

SIAM J. Sci. Comput., August, 2022

Numerical solution of a class of quasi-linear matrix equations.

[BibT_eX]

[DOI]

CoRR, 2022

2021

A Low-Rank Matrix Equation Method for Solving PDE-Constrained Optimization Problems.

[BibT_eX]

[DOI]

Alexandra Bünger

Martin Stoll

SIAM J. Sci. Comput., 2021

Functions of rational Krylov space matrices and their decay properties.

[BibT_eX]

[DOI]

Stefano Pozza

Numerische Mathematik, 2021

The Sherman-Morrison-Woodbury formula for generalized linear matrix equations and applications.

[BibT_eX]

[DOI]

Yue Hao

Numer. Linear Algebra Appl., 2021

Matrix equation solving of PDEs in polygonal domains using conformal mappings.

[BibT_eX]

[DOI]

Yue Hao

J. Num. Math., 2021

Very Weak Space-Time Variational Formulation for the Wave Equation: Analysis and Efficient Numerical Solution.

[BibT_eX]

[DOI]

CoRR, 2021

A Tensor-Train Dictionary Learning algorithm based on Spectral Proximal Alternating Linearized Minimization.

[BibT_eX]

[DOI]

Domitilla Brandoni

CoRR, 2021

2020

Order Reduction Methods for Solving Large-Scale Differential Matrix Riccati Equations.

[BibT_eX]

[DOI]

Gerhard Kirsten

SIAM J. Sci. Comput., 2020

Error estimates for iterative algorithms for minimizing regularized quadratic subproblems.

[BibT_eX]

[DOI]

Nicholas I. M. Gould

Optim. Methods Softw., 2020

A matrix-oriented POD-DEIM algorithm applied to nonlinear differential matrix equations.

[BibT_eX]

[DOI]

Gerhard Kirsten

CoRR, 2020

Matrix-oriented discretization methods for reaction-diffusion PDEs: Comparisons and applications.

[BibT_eX]

[DOI]

Maria Chiara D'Autilia

Ivonne Sgura

Comput. Math. Appl., 2020

2019

A GMRES Convergence Analysis for Localized Invariant Subspace Ill-Conditioning.

[BibT_eX]

[DOI]

Giulia Sacchi

SIAM J. Matrix Anal. Appl., 2019

Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations.

[BibT_eX]

[DOI]

CoRR, 2019

Matrix Oriented Reduction of Space-Time Petrov-Galerkin Variational Problems.

[BibT_eX]

[DOI]

Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019

2018

Numerical Methods for Large-Scale Lyapunov Equations with Symmetric Banded Data.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2018

7th Workshop on Matrix Equations and Tensor Techniques.

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., 2018

Computationally enhanced projection methods for symmetric Sylvester and Lyapunov matrix equations.

[BibT_eX]

[DOI]

Catherine Elizabeth Powell

J. Comput. Appl. Math., 2018

2017

An Efficient Reduced Basis Solver for Stochastic Galerkin Matrix Equations.

[BibT_eX]

[DOI]

David J. Silvester

SIAM J. Sci. Comput., 2017

Approximation of functions of large matrices with Kronecker structure.

[BibT_eX]

[DOI]

Numerische Mathematik, 2017

Stability and Accuracy of Inexact Interior Point Methods for Convex Quadratic Programming.

[BibT_eX]

[DOI]

Benedetta Morini

J. Optim. Theory Appl., 2017

A comparison of reduced and unreduced KKT systems arising from interior point methods.

[BibT_eX]

[DOI]

Benedetta Morini

Mattia Tani

Comput. Optim. Appl., 2017

Preconditioning PDE-constrained optimization with L1-sparsity and control constraints.

[BibT_eX]

[DOI]

Martin Stoll

Comput. Math. Appl., 2017

2016

Computational Methods for Linear Matrix Equations.

[BibT_eX]

[DOI]

SIAM Rev., 2016

Analysis of the Rational Krylov Subspace Projection Method for Large-Scale Algebraic Riccati Equations.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2016

Efficient low-rank solution of generalized Lyapunov equations.

[BibT_eX]

[DOI]

Stephen D. Shank

Numerische Mathematik, 2016

Spectral estimates for unreduced symmetric KKT systems arising from Interior Point methods.

[BibT_eX]

[DOI]

Benedetta Morini

Mattia Tani

Numer. Linear Algebra Appl., 2016

Projection methods for large-scale T-Sylvester equations.

[BibT_eX]

[DOI]

Math. Comput., 2016

2015

Preconditioning of Active-Set Newton Methods for PDE-constrained Optimal Control Problems.

[BibT_eX]

[DOI]

Mattia Tani

SIAM J. Sci. Comput., 2015

Decay Bounds for Functions of Hermitian Matrices with Banded or Kronecker Structure.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2015

A new subspace iteration method for the algebraic Riccati equation.

[BibT_eX]

[DOI]

Yiding Lin

Numer. Linear Algebra Appl., 2015

Contraction and Optimality Properties of an Adaptive Legendre-Galerkin Method: The Multi-Dimensional Case.

[BibT_eX]

[DOI]

Claudio Canuto

Marco Verani

J. Sci. Comput., 2015

2014

Adaptive Tangential Interpolation in Rational Krylov Subspaces for MIMO Dynamical Systems.

[BibT_eX]

[DOI]

Mikhail Zaslavsky

SIAM J. Matrix Anal. Appl., 2014

2013

Solution of the Time-Domain Inverse Resistivity Problem in the Model Reduction Framework Part I. One-Dimensional Problem with SISO Data.

[BibT_eX]

[DOI]

Mikhail Zaslavsky

SIAM J. Sci. Comput., 2013

Krylov Subspace Methods for Large-Scale Constrained Sylvester Equations.

[BibT_eX]

[DOI]

Stephen D. Shank

SIAM J. Matrix Anal. Appl., 2013

Stability estimates and structural spectral properties of saddle point problems.

[BibT_eX]

[DOI]

Wolfgang Krendl

Walter Zulehner

Numerische Mathematik, 2013

Efficient Preconditioning for an Optimal Control Problem with the Time-Periodic Stokes Equations.

[BibT_eX]

[DOI]

Wolfgang Krendl

Walter Zulehner

Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2013, 2013

2012

Solving Ill-Posed Linear Systems with GMRES and a Singular Preconditioner.

[BibT_eX]

[DOI]

Lars Eldén

SIAM J. Matrix Anal. Appl., 2012

Reduced order solution of structured linear systems arising in certain PDE-constrained optimization problems.

[BibT_eX]

[DOI]

Comput. Optim. Appl., 2012

2011

An Optimal Iterative Solver for Symmetric Indefinite Systems Stemming from Mixed Approximation.

[BibT_eX]

[DOI]

David J. Silvester

ACM Trans. Math. Softw., 2011

Fast Structured AMG Preconditioning for the Bidomain Model in Electrocardiology.

[BibT_eX]

[DOI]

Micol Pennacchio

SIAM J. Sci. Comput., 2011

Analysis of the Rational Krylov Subspace and ADI Methods for Solving the Lyapunov Equation.

[BibT_eX]

[DOI]

Leonid Knizhnerman

SIAM J. Numer. Anal., 2011

Adaptive rational Krylov subspaces for large-scale dynamical systems.

[BibT_eX]

[DOI]

Syst. Control. Lett., 2011

Convergence analysis of the extended Krylov subspace method for the Lyapunov equation.

[BibT_eX]

[DOI]

Leonid Knizhnerman

Numerische Mathematik, 2011

2010

Interpreting IDR as a Petrov--Galerkin Method.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2010

Acquired Clustering Properties and Solution of Certain Saddle Point Systems.

[BibT_eX]

[DOI]

Maxim A. Olshanskii

SIAM J. Matrix Anal. Appl., 2010

A new investigation of the extended Krylov subspace method for matrix function evaluations.

[BibT_eX]

[DOI]

Leonid Knizhnerman

Numer. Linear Algebra Appl., 2010

Solution of linear systems from an optimal control problem arising in wind simulation.

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., 2010

2009

Convergence Analysis of Projection Methods for the Numerical Solution of Large Lyapunov Equations.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2009

Spectral Analysis of Saddle Point Matrices with Indefinite Leading Blocks.

[BibT_eX]

[DOI]

Nicholas I. M. Gould

SIAM J. Matrix Anal. Appl., 2009

2008

Stopping Criteria for Rational Matrix Functions of Hermitian and Symmetric Matrices.

[BibT_eX]

[DOI]

Andreas Frommer

SIAM J. Sci. Comput., 2008

Acceleration Techniques for Approximating the Matrix Exponential Operator.

[BibT_eX]

[DOI]

Marina Popolizio

SIAM J. Matrix Anal. Appl., 2008

New conditions for non-stagnation of minimal residual methods.

[BibT_eX]

[DOI]

Numerische Mathematik, 2008

Substructuring Preconditioners for Mortar Discretization of a Degenerate Evolution Problem.

[BibT_eX]

[DOI]

Micol Pennacchio

J. Sci. Comput., 2008

Error Bounds for Lanczos Approximations of Rational Functions of Matrices.

[BibT_eX]

[DOI]

Andreas Frommer

Proceedings of the Numerical Validation in Current Hardware Architectures, 2008

2007

A New Iterative Method for Solving Large-Scale Lyapunov Matrix Equations.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2007

Recent computational developments in Krylov subspace methods for linear systems.

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., 2007

2006

Analysis of Projection Methods for Rational Function Approximation to the Matrix Exponential.

[BibT_eX]

[DOI]

Luciano Lopez

SIAM J. Numer. Anal., 2006

On the eigenvalues of a class of saddle point matrices.

[BibT_eX]

[DOI]

Numerische Mathematik, 2006

2005

On the Occurrence of Superlinear Convergence of Exact and Inexact Krylov Subspace Methods.

[BibT_eX]

[DOI]

SIAM Rev., 2005

Variable Accuracy of Matrix-Vector Products in Projection Methods for Eigencomputation.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2005

The effect of non-optimal bases on the convergence of Krylov subspace methods.

[BibT_eX]

[DOI]

Numerische Mathematik, 2005

Numerical solution of parameter-dependent linear systems.

[BibT_eX]

[DOI]

Guiding Gu

Numer. Linear Algebra Appl., 2005

2004

Spectral Properties of the Hermitian and Skew-Hermitian Splitting Preconditioner for Saddle Point Problems.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2004

2003

Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2003

Algebraic formulations for the solution of the nullspace-free eigenvalue problem using the inexact Shift-and-Invert Lanczos method.

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., 2003

2002

On the Numerical Solution of (λ<sup>2</sup> A + λ B + C), x = b and Application to Structural Dynamics.

[BibT_eX]

[DOI]

Federico Perotti

SIAM J. Sci. Comput., 2002

Flexible Inner-Outer Krylov Subspace Methods.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2002

Krylov Subspace Methods for Saddle Point Problems with Indefinite Preconditioning.

[BibT_eX]

[DOI]

Miroslav Rozlozník

SIAM J. Matrix Anal. Appl., 2002

Parallel Computation of Pseudospectra Using Transfer Functions on a MATLAB-MPI Cluster Platform.

[BibT_eX]

[DOI]

Constantine Bekas

Effrosini Kokiopoulou

Efstratios Gallopoulos

Proceedings of the Recent Advances in Parallel Virtual Machine and Message Passing Interface, 9th European PVM/MPI Users' Group Meeting, Linz, Austria, September 29, 2002

2000

On the Convergence of Restarted Krylov Subspace Methods.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2000

Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations.

[BibT_eX]

[DOI]

Ilaria Perugia