On a Polar Representation of Non-Singular Square Matrices
نویسندگان
چکیده
منابع مشابه
A Polar Representation of Singular Matrices
Let A = (aty), (i = l, 2, • • • , ra; j = l , 2, • • • , » ) , be a matrix of m rows and n columns, whose elements a,-,are complex numbers. I t has been shown f that , if m—n and A is non-singular, A=PiU= UP2, where U is a unitary matrix, while P\ and P 2 are positive definite hermitian matrices. Moreover in such a polar representation of A, as it has been called, the matrices Pi , P2, and U ar...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1931
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.17.12.676