Randomized linear algebra for model reduction—part II: minimal residual methods and dictionary-based approximation

A geometrical numerical linear algebra approach to residual-enhanced parametric model reduction

PAMM ◽

10.1002/pamm.201410396 ◽

2014 ◽

Vol 14 (1) ◽

pp. 831-832

Author(s):

Ralf Zimmermann

Keyword(s):

Model Reduction ◽

Linear Algebra ◽

Parametric Model ◽

Numerical Linear Algebra ◽

Algebra Approach

Least Squares Residuals and Minimal Residual Methods

SIAM Journal on Scientific Computing ◽

10.1137/s1064827500377988 ◽

2002 ◽

Vol 23 (5) ◽

pp. 1503-1525 ◽

Cited By ~ 26

Author(s):

J. Liesen ◽

M. Rozlozník ◽

Z. Strakos

Keyword(s):

Least Squares ◽

Preconditioned Galerkin and minimal residual methods for solving Sylvester equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.02.021 ◽

2006 ◽

Vol 181 (2) ◽

pp. 1208-1214 ◽

Cited By ~ 3

Author(s):

A. Kaabi ◽

F. Toutounian ◽

A. Kerayechian

Keyword(s):

Preconditioned minimal residual methods for chebyshev spectral calculations

Journal of Computational Physics ◽

10.1016/0021-9991(85)90010-5 ◽

1985 ◽

Vol 60 (2) ◽

pp. 315-337 ◽

Cited By ~ 46

Author(s):

Claudio Canuto ◽

Alfio Quarteroni

Keyword(s):

Minimal residual methods augmented with eigenvectors for solving Sylvester equations and generalized Sylvester equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2005.12.055 ◽

2006 ◽

Vol 181 (1) ◽

pp. 487-499 ◽

Cited By ~ 10

Author(s):

Yiqin Lin

Keyword(s):

Analysis of acceleration strategies for restarted minimal residual methods

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(00)00398-8 ◽

2000 ◽

Vol 123 (1-2) ◽

pp. 261-292 ◽

Cited By ~ 58

Author(s):

Michael Eiermann ◽

Oliver G. Ernst ◽

Olaf Schneider

Keyword(s):

Numerical Linear Algebra for Model Reduction in Control and Simulation

GAMM-Mitteilungen ◽

10.1002/gamm.201490034 ◽

2006 ◽

Vol 29 (2) ◽

pp. 275-296 ◽

Cited By ~ 25

Author(s):

Peter Benner

Keyword(s):

Model Reduction ◽

Linear Algebra ◽

Numerical Linear Algebra

Unleashing GPU acceleration for symmetric band linear algebra kernels and model reduction

Cluster Computing ◽

10.1007/s10586-015-0489-x ◽

2015 ◽

Vol 18 (4) ◽

pp. 1351-1362

Author(s):

Peter Benner ◽

Ernesto Dufrechou ◽

Pablo Ezzatti ◽

Enrique S. Quintana-Ortí ◽

Alfredo Remón

Keyword(s):

Model Reduction ◽

Linear Algebra ◽

Gpu Acceleration ◽

Symmetric Band

Globally Optimal H2-Norm Model Reduction: A Numerical Linear Algebra Approach

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2021.06.117 ◽

2021 ◽

Vol 54 (9) ◽

pp. 564-571

Author(s):

Oscar Mauricio Agudelo ◽

Christof Vermeersch ◽

Bart De Moor

Keyword(s):

Model Reduction ◽

Linear Algebra ◽

Numerical Linear Algebra ◽

Algebra Approach ◽

Norm Model

Computational Science and Its Applications – ICCSA 2014 - Lecture Notes in Computer Science ◽

Accelerating Band Linear Algebra Operations on GPUs with Application in Model Reduction

10.1007/978-3-319-09153-2_29 ◽

2014 ◽

pp. 386-400 ◽

Cited By ~ 4

Author(s):

Peter Benner ◽

Ernesto Dufrechou ◽

Pablo Ezzatti ◽

Pablo Igounet ◽

Enrique S. Quintana-Ortí ◽

...

Keyword(s):

Model Reduction ◽

Linear Algebra