A matrix-less and parallel interpolation–extrapolation algorithm for computing the eigenvalues of preconditioned banded symmetric Toeplitz matrices
Open Access
- 24 March 2018
- journal article
- research article
- Published by Springer Nature in Numerical Algorithms
- Vol. 80 (3) , 819-848
Abstract
No abstract availableKeywords
Funding Information
- Istituto Nazionale di Alta Matematica ”Francesco Severi” (PCOFUND-GA-2012-600198)
This publication has 17 references indexed in Scilit:
- Are the eigenvalues of preconditioned banded symmetric Toeplitz matrices known in almost closed form?Numerical Algorithms, 2017
- Eigenvalues of Hermitian Toeplitz Matrices Generated by Simple-loop Symbols with Relaxed Smoothness2017
- Maximum norm versions of the Szegő and Avram–Parter theorems for Toeplitz matricesJournal of Approximation Theory, 2015
- Eigenvalues of Hermitian Toeplitz matrices with smooth simple-loop symbolsJournal of Mathematical Analysis and Applications, 2015
- Inside the eigenvalues of certain Hermitian Toeplitz band matricesJournal of Computational and Applied Mathematics, 2010
- Introduction to Large Truncated Toeplitz Matrices1999
- PARALLEL ALGORITHMS TO COMPUTE THE EIGENVALUES AND EIGENVECTORS OFSYMMETRIC TOEPLITZ MATRICES∗Parallel Algorithms and Applications, 1998
- Computing Eigenvalues of Banded Symmetric Toeplitz MatricesSIAM Journal on Scientific and Statistical Computing, 1991
- Solving the Generalized Eigenvalue Problem for Rational Toeplitz MatricesSIAM Journal on Matrix Analysis and Applications, 1990
- Efficient algorithms for the evaluation of the eigenvalues of (block) banded Toeplitz matricesMathematics of Computation, 1988