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An Efficient Iterative Algorithm for a Quaternion Matrix Equation with I-conjugate of Unknown Matrix

Published: 17 May 2021 Publication History

Abstract

We in this paper discuss the numerical method for a quaternion matrix equation with i-conjugate of unknown matrix. An iterative algorithm is proposed which can determine the solvability of the equation automatically. A solution can be obtained through the algorithm in finite iteration steps, when the equation is solvable. A numerical example illustrates the proposed algorithm is quite effective.

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        cover image ACM Other conferences
        CONF-CDS 2021: The 2nd International Conference on Computing and Data Science
        January 2021
        1142 pages
        ISBN:9781450389570
        DOI:10.1145/3448734
        Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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        Published: 17 May 2021

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        Author Tags

        1. Quaternion matrix equation
        2. iterative algorithm i-conjugate

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