4 papers
Computing accurate singular vectors and eigenvectors using mixed-precision Jacobi algorithms
Zhengbo Zhou, Françoise Tisseur, Marcus Webb
Mixed-precision variants of the Jacobi algorithm for symmetric positive definite eigenproblems and the one-sided Jacobi algorithm for singular value decompositions have recently be…
Computing accurate singular values using a mixed-precision one-sided Jacobi algorithm
Zhengbo Zhou, Françoise Tisseur, Marcus Webb
We present a relative forward error analysis of a mixed-precision preconditioned one-sided Jacobi algorithm, analogous to a two-sided version introduced in [N. J. Higham, F. Tisseu…
A Mixed Precision Eigensolver Based on the Jacobi Algorithm
Zhengbo Zhou
The classic method for computing the spectral decomposition of a real symmetric matrix, the Jacobi algorithm, can be accelerated by using mixed precision arithmetic. The Jacobi alg…
Computing accurate eigenvalues using a mixed-precision Jacobi algorithm
Nicholas J. Higham, Françoise Tisseur, Marcus Webb +1
We provide a rounding error analysis of a mixed-precision preconditioned Jacobi algorithm, which uses low precision to compute the preconditioner, applies it at high precision (amo…