POLAR DECOMPOSITIONS OF QUATERNION MATRICES IN INDEFINITE INNER PRODUCT SPACES

被引：0

作者：

Groenewald, Gilbert J. ^{[1
]}

Van Rensburg, Dawie B. Janse ^{[1
]}

Ran, Andre C. M. ^{[1
,2
]}

Theron, Frieda ^{[1
]}

Van Straaten, Madelein ^{[1
]}

机构：

[1] North West Univ, Dept Math & Appl Math, Res Focus Pure & Appl Analyt, Private Bag X6001, ZA-2520 Potchefstroom, South Africa

[2] Vrije Univ Amsterdam, Fac Sci, Dept Math, Boelelaan 1111, NL-1081 HV Amsterdam, Netherlands

来源：

ELECTRONIC JOURNAL OF LINEAR ALGEBRA | 2021年 / 37卷

关键词：

Quaternion matrices; H-polar decompositions; Indefinite inner product; Witt's theorem; Extending isometrics; Square roots of matrices; SCALAR PRODUCT; ROOTS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Polar decompositions of quaternion matrices with respect to a given indefinite inner product are studied. Necessary and sufficient conditions for the existence of an H-polar decomposition are found. In the process, an equivalent to Witt's theorem on extending H-isometrics to H-unitary matrices is given for quaternion matrices.

引用

页码：659 / 670

页数：12

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