2006•Huadong Shifan Daxue xuebao. Ziran kexue banRequires access

Some Properties of Three Kinds of Generalized Inverses

Guoliang Chen

Abstract

This paper investigated three kinds of widely used generalized inverses of matrices: they are {1,3} and {1,4} inverses,and generalized Bott-Duffin inverse of L-zero matrices.Some new expressions and properties are obtained;and examples are given to illustrate their applications in finding least-square solutions and minimum problem solutions.

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Key concepts: Mathematics, Generalized inverse, Inverse, Generalized linear array model, Zero (linguistics), Applied mathematics, Pure mathematics, Algebra over a field