Factorizations into Normal Matrices in Indefinite Inner Product Spaces

Xuefang Sui; Paolo Gondolo

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arXiv · 1610.09742

Factorizations into Normal Matrices in Indefinite Inner Product Spaces

Xuefang Sui·Paolo Gondolo

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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.

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BibTeX RIS

Xuefang Sui, Paolo Gondolo. 2016-10-31. Factorizations into Normal Matrices in Indefinite Inner Product Spaces. https://arxiv.org/abs/1610.09742

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