A mixed precision LOBPCG algorithm

The locally optimal block preconditioned conjugate gradient (LOBPCG) algorithm is a popular approach for computing a few smallest eigenvalues and the corresponding eigenvectors of a large Hermitian positive definite matrix A . In this work, we propose a mixed precision variant of LOBPCG that uses a...

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Bibliographic Details
Published in:	Numerical algorithms Vol. 94; no. 4; pp. 1653 - 1671
Main Authors:	Kressner, Daniel, Ma, Yuxin, Shao, Meiyue
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.12.2023 Springer Nature B.V
Subjects:	Algebra Algorithms Approximation Cholesky factorization Computer Science Convergence Eigenvalues Eigenvectors Error analysis Impact analysis Mathematical analysis Matrices (mathematics) Numeric Computing Numerical Analysis Numerical prediction Original Paper Theory of Computation Symmetric eigenvalue problem 65F50 65F15 LOBPCG algorithm 65F08 Mixed precision algorithm
ISSN:	1017-1398, 1572-9265
Online Access:	Get full text
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