The power and Arnoldi methods in an algebra of circulants

David F. Gleich; Chen Greif; James M. Varah

doi:10.1002/nla.1845

The power and Arnoldi methods in an algebra of circulants

Numerical Linear Algebra with Applications ◽

10.1002/nla.1845 ◽

2012 ◽

Vol 20 (5) ◽

pp. 809-831 ◽

Cited By ~ 14

Author(s):

David F. Gleich ◽

Chen Greif ◽

James M. Varah

Keyword(s):

Arnoldi Methods

Generalized Arnoldi methods for the Sylvester-observer equation and the multi-input pole placement problem

Proceedings of the 36th IEEE Conference on Decision and Control ◽

10.1109/cdc.1997.649594 ◽

2002 ◽

Cited By ~ 4

Author(s):

B.N. Datta ◽

C. Hetti

Keyword(s):

Pole Placement ◽

Placement Problem ◽

Input Pole ◽

Arnoldi Methods

Dynamic Thick Restarting of the Davidson, and the Implicitly Restarted Arnoldi Methods

SIAM Journal on Scientific Computing ◽

10.1137/s1064827596304162 ◽

1998 ◽

Vol 19 (1) ◽

pp. 227-245 ◽

Cited By ~ 77

Author(s):

Andreas Stathopoulos ◽

Yousef Saad ◽

Kesheng Wu

Keyword(s):

Implicitly Restarted Arnoldi ◽

Arnoldi Methods

Implicitly Restarted Arnoldi Methods and Subspace Iteration

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/s0895479899358595 ◽

2001 ◽

Vol 23 (2) ◽

pp. 551-562 ◽

Cited By ~ 55

Author(s):

R. B. Lehoucq

Keyword(s):

Subspace Iteration ◽

Implicitly Restarted Arnoldi ◽

Arnoldi Methods

On the structured backward error of inexact Arnoldi methods for (skew)-Hermitian and (skew)-symmetric eigenvalue problems

BIT Numerical Mathematics ◽

10.1007/s10543-017-0660-2 ◽

2017 ◽

Vol 57 (4) ◽

pp. 1083-1108

Author(s):

Ching-Sung Liu ◽

Che-Rung Lee

Keyword(s):

Eigenvalue Problems ◽

Backward Error ◽

Arnoldi Methods ◽

Symmetric Eigenvalue Problems

Multi Level Parallelism of Multiple Implicitly/Explicitly Restarted Arnoldi Methods for Post-petascale Computing

2013 Eighth International Conference on P2P, Parallel, Grid, Cloud and Internet Computing ◽

10.1109/3pgcic.2013.30 ◽

2013 ◽

Cited By ~ 1

Author(s):

Miwako Tsuji ◽

Makarem Dandouna ◽

Nahid Emad

Keyword(s):

Petascale Computing ◽

Multi Level ◽

Arnoldi Methods ◽

Level Parallelism

Arnoldi methods for image deblurring with anti-reflective boundary conditions

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.12.058 ◽

2015 ◽

Vol 253 ◽

pp. 135-150 ◽

Cited By ~ 3

Author(s):

Marco Donatelli ◽

David Martin ◽

Lothar Reichel

Keyword(s):

Boundary Conditions ◽

Image Deblurring ◽

Arnoldi Methods

Arnoldi Methods for Structure-Preserving Dimension Reduction of Second-Order Dynamical Systems

Lecture Notes in Computational Science and Engineering - Dimension Reduction of Large-Scale Systems ◽

10.1007/3-540-27909-1_7 ◽

2005 ◽

pp. 173-189 ◽

Cited By ~ 12

Author(s):

Zhaojun Bai ◽

Karl Meerbergen ◽

Yangfeng Su

Keyword(s):

Dynamical Systems ◽

Dimension Reduction ◽

Second Order ◽

Structure Preserving ◽

Arnoldi Methods

Lanczos and Arnoldi methods for the solution of convection-diffusion equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(91)90233-v ◽

1991 ◽

Vol 88 (1) ◽

pp. 75-95 ◽

Cited By ~ 11

Author(s):

Bahram Nour-Omid ◽

W.S. Dunbar ◽

A.D. Woodbury

Keyword(s):

Diffusion Equations ◽

Convection Diffusion ◽

Arnoldi Methods

Adaptive rational block Arnoldi methods for model reductions in large-scale MIMO dynamical systems

New Trends in Mathematical Science ◽

10.20852/ntmsci.2016218259 ◽

2016 ◽

Vol 4 (2) ◽

pp. 227-227 ◽

Cited By ~ 2

Author(s):

Oussama Abidi ◽

Mustapha Hached ◽

Khalide Jbilou

Keyword(s):

Dynamical Systems ◽

Large Scale ◽

Block Arnoldi ◽

Arnoldi Methods ◽

Mimo Dynamical Systems

On some properties of the extended block and global Arnoldi methods with applications to model reduction

Numerical Algorithms ◽

10.1007/s11075-016-0207-7 ◽

2016 ◽

Vol 75 (1) ◽

pp. 285-304 ◽

Cited By ~ 4

Author(s):

O. Abidi ◽

M. Heyouni ◽

K. Jbilou

Keyword(s):

Model Reduction ◽

Arnoldi Methods