2004College MathematiesRequires access

The Solution of the Matrix Equation AX-X~TB=C

BU Chang-jiang

Open publisher page 1 citations

Abstract

We give the solution of the matrix equation AX-X~TB=C by introducing the generalized inverse matrix, and find two forms of the solution about the matrix equation AX-X~TB=O. So we get two solution with different forms of the matrix equation AX-X~TB=C.

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What this paper is about

We give the solution of the matrix equation AX-X~TB=C by introducing the generalized inverse matrix, and find two forms of the solution about the matrix equation AX-X~TB=O. So we get two solution with different forms of the matrix equation AX-X~TB=C.

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OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We give the solution of the matrix equation AX-X~TB=C by introducing the generalized inverse matrix, and find two forms of the solution about the matrix equation AX-X~TB=O. So we get two solution with different forms of the matrix equation AX-X~TB=C.

Key concepts: Matrix (chemical analysis), Mathematics, Matrix difference equation, Inverse, Applied mathematics, Mathematical analysis, Riccati equation, Chemistry

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