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Computing accurate eigenvalues using a mixed-precision Jacobi algorithm

Published in arXiv (Cornell University) • Jan 7, 2025
NobleIDNI3P60W24R68S18
Authors:
Nicholas J. Higham
,
Françoise Tisseur
,
Marcus Webb

Abstract

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 (amounting to two matrix-matrix multiplications) and solves the eigenproblem using the Jacobi algorithm at working precision...

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