Probabilistic Rounding Error Analysis of Modified Gram–Schmidt-Reference-Cited by-同舟云学术

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Probabilistic Rounding Error Analysis of Modified Gram–Schmidt

Published:2024-05-21 Issue:2 Volume:45 Page:1076-1088
ISSN:0895-4798
Container-title:SIAM Journal on Matrix Analysis and Applications
language:en
Short-container-title:SIAM J. Matrix Anal. Appl.

Author:

Zou Qinmeng¹^ORCID

Affiliation:

1. School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China, and Key Laboratory of Mathematics and Information Networks, Beijing University of Posts and Telecommunications, Ministry of Education, Beijing 100876, China.

Funder

National Natural Science Foundation of China

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Reference31 articles.

1. Randomized Gram--Schmidt Process with Application to GMRES

2. Block Modified Gram--Schmidt Algorithms and Their Analysis

3. On roundoff error distributions in floating point and logarithmic arithmetic

4. Reorthogonalized block classical Gram–Schmidt

5. Low-synch Gram–Schmidt with delayed reorthogonalization for Krylov solvers

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