Results 91 to 100 of about 160 (114)

Spectral Functions For Real Symmetric Toeplitz Matrices

open access: yes, 1998
We derive separate spectral functions for the even and odd spectra of a real symmetric Toeplitz matrix, which are given by the roots of those functions. These are rational functions, also commonly referred to as secular functions.
A. Melman
core  

A Unified Deflating Subspace Approach for Classes of Polynomial and Rational Matrix Equations

open access: yes, 2000
A unified deflating subspace approach is presented for the solution of a large class of matrix equations, including Lyapunov, Sylvester, Riccati and also some higher order polynomial matrix equations including matrix m-th roots and matrix sector ...
Peter Benner   +3 more
core  

On The Convergence Of An Implicitly Restarted Arnoldi Method

open access: yes, 1999
. We show that Sorensen's [35] implicitly restarted Arnoldi method (including its block extension) is non-stationary simultaneous iteration with an implicit projection step to accelerate convergence to the invariant subspace of interest.
Rich Lehoucq, Lehoucq, Richard B.
core  

A NEW ALGORITHM FOR THE SVD OF A LONG PRODUCT OF MATRICES AND THE STABILITY OF PRODUCTS

open access: yes, 2008
AMS subject classifications. 65F15, 34D08. Abstract. Lyapunov exponents can be estimated by accurately computing the singular values of long products of matrices, with perhaps 1000 or more factor matrices.
David E. Stewart Y
core  
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Jacobi Angles for Simultaneous Diagonalization

SIAM Journal on Matrix Analysis and Applications, 1996
Jean-François Cardoso   +1 more
exaly  

Some History of the Conjugate Gradient and Lanczos Algorithms: 1948–1976

SIAM Review, 1989
Dianne P O'Leary, Gene H Golub
exaly  

The Polynomial Eigenvalue Problem Is Well Conditioned for Random Inputs

SIAM Journal on Matrix Analysis and Applications, 2019
Carlos Beltran, Diego Armentano
exaly  

A Note on the Spectral Distribution of Toeplitz Matrices

Linear and Multilinear Algebra, 1998
Paolo Tilli
exaly  

Positive Diagonal Solutions to the Lyapunov Equations

Linear and Multilinear Algebra, 1978
R J Plemmons, A Berman
exaly  

Comments on Large Least Squares Problems Involving Kronecker Products

SIAM Journal on Matrix Analysis and Applications, 1995
Hongyuan Zha
exaly  

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