2016/10/31 by Xuefang Sui, Paolo Gondolo, Sui, Xuefang +1
Computer Science · Engineering · Mathematics · #15A21 #15A23 #15A63 #15B99 #47B50 #Advanced Topics in Algebra #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Rings and Algebras (math.RA) #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.1610.09742
openalex publication_date 2016/10/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
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.