Add to ORKGWe present a transpose-free version of the nonsymmetric scaled Lanczos procedure. It generates the same tridiagonal matrix as the classical algorithm, using two matrix-vector products per iteration without accessing AT. We apply this algorithm to obtain a transpose-free version of the Quasi-Minimal Residual method of Freund and Nachtigal (without look-ahead), which requires three matrix-vector products per iteration. We also present a related transpose-free version of the Bi-Conjugate Gradients algorithm
The method of Lanczos for solving systems of linear equations is implemented by various recurrence r...
Lanczos' tridiagonalization processes transform a matrix into an equivalent tridiagonal one. In this...
AbstractThe conjugate-gradient (CC) method, developed by Hestenes and Stiefel in 1952, can be effect...
We present a transpose-free version of the nonsymmetric scaled Lanczos procedure. It generates the s...
We present a transpose-free version of the nonsymmetric scaled Lanczos procedure. It generates the s...
We present a transpose-free version of the nonsymmetric scaled Lanczos procedure. It generates the s...
AbstractA transpose-free two-sided nonsymmetric Lanczos method is developed for multiple starting ve...
The method of Lanczos for solving systems of linear equations is implemented by using recurrence rel...
AbstractA transpose-free two-sided nonsymmetric Lanczos method is developed for multiple starting ve...
The Lanczos algorithm can be used both for eigenvalue problems and to solve linear systems. However,...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1991.Includes bibliogr...
AbstractThe biorthogonal Lanczos and the biconjugate gradient methods have been proposed as iterativ...
The biorthogonal Lanczos and the biconjugate gradient methods have been proposed as iterative method...
The transpose-free quasi-minimal residual method (TFQMR) for solving general non-Hermitian linear sy...
The method of Lanczos for solving systems of linear equations is implemented by various recurrence r...
The method of Lanczos for solving systems of linear equations is implemented by various recurrence r...
Lanczos' tridiagonalization processes transform a matrix into an equivalent tridiagonal one. In this...
AbstractThe conjugate-gradient (CC) method, developed by Hestenes and Stiefel in 1952, can be effect...
We present a transpose-free version of the nonsymmetric scaled Lanczos procedure. It generates the s...
We present a transpose-free version of the nonsymmetric scaled Lanczos procedure. It generates the s...
We present a transpose-free version of the nonsymmetric scaled Lanczos procedure. It generates the s...
AbstractA transpose-free two-sided nonsymmetric Lanczos method is developed for multiple starting ve...
The method of Lanczos for solving systems of linear equations is implemented by using recurrence rel...
AbstractA transpose-free two-sided nonsymmetric Lanczos method is developed for multiple starting ve...
The Lanczos algorithm can be used both for eigenvalue problems and to solve linear systems. However,...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1991.Includes bibliogr...
AbstractThe biorthogonal Lanczos and the biconjugate gradient methods have been proposed as iterativ...
The biorthogonal Lanczos and the biconjugate gradient methods have been proposed as iterative method...
The transpose-free quasi-minimal residual method (TFQMR) for solving general non-Hermitian linear sy...
The method of Lanczos for solving systems of linear equations is implemented by various recurrence r...
The method of Lanczos for solving systems of linear equations is implemented by various recurrence r...
Lanczos' tridiagonalization processes transform a matrix into an equivalent tridiagonal one. In this...
AbstractThe conjugate-gradient (CC) method, developed by Hestenes and Stiefel in 1952, can be effect...