JOURNAL ARTICLE

Exploiting a higher‐order scheme for matrix square root and its inverse simultaneously.

  • Published In: Mathematical Methods in the Applied Sciences, 2025, v. 48, n. 7. P. 7078 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Zaka Ullah, Malik; Alaslani, Sultan Muaysh 3 of 3

Abstract

In this work, an investigation on an iterative scheme to calculate the matrix square root and its inversion simultaneously is performed and further discussed via the concept of matrix sign function. Convergence properties are discussed under some conditions on the choice of the initial matrix as well as the input matrix A$$ A $$. It is then attempted to propose an iterative method possessing higher convergence order, which is also stable. Extension of the proposed scheme to the p$$ p $$th root of a matrix is also given. Ultimately, several tests including an application of the proposed iterative method to solve matrix differential equations are brought forward. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Mathematical Methods in the Applied Sciences. 2025/05, Vol. 48, Issue 7, p7078
  • Document Type:Article
  • Subject Area:Mathematics
  • Publication Date:2025
  • ISSN:0170-4214
  • DOI:10.1002/mma.8788
  • Accession Number:184321061
  • Copyright Statement:Copyright of Mathematical Methods in the Applied Sciences is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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