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Computational Methods for Linear Matrix Equations

SIAM review, 2016-01, Vol.58 (3), p.377-441

Simoncini, V.

2016

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

SIAM journal on scientific computing, 2007-01, Vol.29 (3), p.1268-1288

Simoncini, V.

2007

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Numerical solution of a class of third order tensor linear equations

Bollettino della Unione matematica italiana (2008), 2020-09, Vol.13 (3), p.429-439

Simoncini, V.

2020

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Adaptive rational Krylov subspaces for large-scale dynamical systems

Systems & control letters, 2011-08, Vol.60 (8), p.546-560

2011

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

Computational optimization and applications, 2012-10, Vol.53 (2), p.591-617

Simoncini, V.

2012

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Tensor-Train decomposition for image recognition

Calcolo, 2020-03, Vol.57 (1), Article 9

2020

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

Numerical linear algebra with applications, 2010-08, Vol.17 (4), p.615-638

2010

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Block triangular preconditioners for symmetric saddle-point problems

Applied numerical mathematics, 2004-04, Vol.49 (1), p.63-80

Simoncini, V.

2004

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Extended Krylov subspace for parameter dependent systems

Applied numerical mathematics, 2010-05, Vol.60 (5), p.550-560

Simoncini, V.

2010

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

SIAM journal on matrix analysis and applications, 2016-01, Vol.37 (4), p.1655-1674

Simoncini, V.

2016

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ANALYSIS OF THE RATIONAL KRYLOV SUBSPACE AND ADI METHODS FOR SOLVING THE LYAPUNOV EQUATION

SIAM journal on numerical analysis, 2011-01, Vol.49 (5/6), p.1875-1898

2011

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

Numerische Mathematik, 2011-07, Vol.118 (3), p.567-586

2011

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Adaptive Tangential Interpolation in Rational Krylov Subspaces for MIMO Dynamical Systems

SIAM journal on matrix analysis and applications, 2014-01, Vol.35 (2), p.476-498

2014

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Krylov subspace methods for projected Lyapunov equations

Applied numerical mathematics, 2012, Vol.62 (1), p.35-50

2012

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Acceleration Techniques for Approximating the Matrix Exponential Operator

SIAM journal on matrix analysis and applications, 2008-01, Vol.30 (2), p.657-683

2008

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Large-scale Gauss-Newton inversion of transient controlled-source electromagnetic measurement data using the model reduction framework

Geophysics, 2013-07, Vol.78 (4), p.E161-E171

2013

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

SIAM journal on numerical analysis, 2006-01, Vol.44 (2), p.613-635

2006

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An implicitly-restarted Krylov subspace method for real symmetric/skew-symmetric eigenproblems

Linear algebra and its applications, 2012-05, Vol.436 (10), p.4070-4087

2012

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

SIAM journal on scientific computing, 2013-01, Vol.35 (3), p.A1621-A1640

2013

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CONVERGENCE ANALYSIS OF PROJECTION METHODS FOR THE NUMERICAL SOLUTION OF LARGE LYAPUNOV EQUATIONS

SIAM journal on numerical analysis, 2009-01, Vol.47 (2), p.828-843

2009

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

SIAM journal on numerical analysis, 2005-01, Vol.43 (3), p.1155-1174

Simoncini, V.

2005

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Restarted full orthogonalization method for shifted linear systems

BIT (Nordisk Tidskrift for Informationsbehandling), 2003-06, Vol.43 (2), p.459-466

SIMONCINI, V

2003

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Iterative system solvers for the frequency analysis of linear mechanical systems

Computer methods in applied mechanics and engineering, 2000-12, Vol.190 (13-14), p.1719-1739

2000

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Exploiting Hidden Structure in Matrix Computations: Algorithms and Applications : Cetraro, Italy 2015

2017

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Block Krylov subspace methods for the computation of structural response to turbulent wind

Computer methods in applied mechanics and engineering, 2011-06, Vol.200 (23), p.2067-2082

2011

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Computational Methods for Linear Matrix Equations

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

Numerical solution of a class of third order tensor linear equations

Adaptive rational Krylov subspaces for large-scale dynamical systems

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

Tensor-Train decomposition for image recognition

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

Block triangular preconditioners for symmetric saddle-point problems

Extended Krylov subspace for parameter dependent systems

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

ANALYSIS OF THE RATIONAL KRYLOV SUBSPACE AND ADI METHODS FOR SOLVING THE LYAPUNOV EQUATION

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

Adaptive Tangential Interpolation in Rational Krylov Subspaces for MIMO Dynamical Systems

Krylov subspace methods for projected Lyapunov equations

Acceleration Techniques for Approximating the Matrix Exponential Operator

Large-scale Gauss-Newton inversion of transient controlled-source electromagnetic measurement data using the model reduction framework

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

An implicitly-restarted Krylov subspace method for real symmetric/skew-symmetric eigenproblems

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

CONVERGENCE ANALYSIS OF PROJECTION METHODS FOR THE NUMERICAL SOLUTION OF LARGE LYAPUNOV EQUATIONS

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

Restarted full orthogonalization method for shifted linear systems

Iterative system solvers for the frequency analysis of linear mechanical systems

Exploiting Hidden Structure in Matrix Computations: Algorithms and Applications : Cetraro, Italy 2015

Block Krylov subspace methods for the computation of structural response to turbulent wind

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