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Research Article | Open Access

Normwise condition numbers of the indefinite least squares problem with multiple right-hand sides

College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
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Abstract

In this paper, we investigate the normwise condition numbers of the indefinite least squares problem with multiple right-hand sides with respect to the weighted Frobenius norm and 2-norm. The closed formulas or upper bounds for these condition numbers are presented, which extend the earlier work for the indefinite least squares problem with single right-hand side. Numerical experiments are performed to illustrate the tightness of the upper bounds.

Keywords

indefinite least squares problemmultiple right-hand sidesnormwise condition number
CLC number: 65F35, 65F20

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AIMS Mathematics
Volume 7 Issue 3,
March 2022
Pages 3692-3700
DOI: 10.3934/math.2022204

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Li L. Normwise condition numbers of the indefinite least squares problem with multiple right-hand sides. AIMS Mathematics, 2022, 7(3): 3692-3700. https://doi.org/10.3934/math.2022204

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Received: 18 August 2021
Accepted: 12 November 2021
Published: 15 March 2021
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)