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The generalized Moore-Penrose inverse - MaRDI portal

The generalized Moore-Penrose inverse (Q1184473)

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scientific article; zbMATH DE number 34654
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The generalized Moore-Penrose inverse
scientific article; zbMATH DE number 34654

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    The generalized Moore-Penrose inverse (English)
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    28 June 1992
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    The generalized Moore-Penrose inverse of a matrix over an integral domain with involution is defined. Necessary and sufficient conditions for the existence of this inverse are given. Uniqueness is proven and a formula given which leads toward a ``generalized Cramer's rule'' to find the generalized Moore-Penrose solution.
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    generalized Moore-Penrose inverse
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    integral domain with involution
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    generalized Cramer's rule
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