A generalization of the Moore–Penrose inverse related to matrix subspaces of
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چکیده
منابع مشابه
A generalization of the Moore-Penrose inverse related to matrix subspaces of Cn×m
A natural generalization of the classical Moore-Penrose inverse is presented. The so-called S-Moore-Penrose inverse of a m × n complex matrix A, denoted by AS, is defined for any linear subspace S of the matrix vector space Cn×m. The S-Moore-Penrose inverse AS is characterized using either the singular value decomposition or (for the nonsingular square case) the orthogonal complements with resp...
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ژورنال
عنوان ژورنال: Applied Mathematics and Computation
سال: 2010
ISSN: 0096-3003
DOI: 10.1016/j.amc.2010.01.062