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Factorizations into Normal Matrices in Indefinite Inner Product Spaces
- Publication Year :
- 2016
-
Abstract
- We show that any nonsingular (real or complex) square matrix can be factorized into a product of at most three normal matrices, one of which is unitary, another selfadjoint with eigenvalues in the open right half-plane, and the third one is normal involutory with a neutral negative eigenspace (we call the latter matrices normal neutral involutory). Here the words normal, unitary, selfadjoint and neutral are understood with respect to an indefinite inner product.<br />Comment: 30 pages
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1610.09742
- Document Type :
- Working Paper