On a decomposition of partitioned J-unitary matrices

被引：0

作者：

Sego, Vedran ^{[1
]}

机构：

[1] Univ Zagreb, Dept Math, HR-10000 Zagreb, Croatia

来源：

MATHEMATICAL COMMUNICATIONS | 2012年 / 17卷 / 01期

关键词：

hyperbolic scalar product; decomposition; 2HSVD; semidefinite J-polar decomposition; unitary matrices; matrix root; indefinite QR; hyperbolic CS decomposition;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose a new decomposition of hyperbolic block-unitary matrices into a product of a hyperbolic block-rotation and a block-diagonal hyperbolic unitary matrix. A similar result is known in the real space equipped with the Euclidean scalar product, but we generalize it to the complex spaces equipped with hyperbolic scalar products. We shall also present an example how such a decomposition might be used to calculate other decompositions with block-operations.

引用

页码：265 / 284

页数：20

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