Article ID Journal Published Year Pages File Type
6416805 Linear Algebra and its Applications 2012 6 Pages PDF
Abstract

Let J=0I-I0∈M2n(C).  Let 0≠u∈C2n be given. A J-Householder matrix corresponding to u is Hu≡I-uuTJ. We show that every symplectic matrix is a product of J-Householder matrices. We present properties of J-Householder matrices, and we also present the possible Jordan Canonical Forms of products of two J-Householder matrices.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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