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Information Journal Paper

Title

DIAGONAL AND MONOMIAL SOLUTIONS OF THE MATRIX EQUATION AX B=C

Pages

  31-42

Abstract

 In this article, we consider the MATRIX EQUATION AX B=C, where A, B, C are given matrices and give new necessary and sufficient conditions for the existence of the diagonal solutions and monomial solutions to this equation. We also present a general form of such solutions. Moreover, we consider the LEAST SQUARES PROBLEM min X C -AX B F where X is a diagonal or MONOMIAL MATRIX. The explicit expressions of the optimal solution and the minimum norm solution are both provided.

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    APA: Copy

    AMAN, MASSOUD. (2014). DIAGONAL AND MONOMIAL SOLUTIONS OF THE MATRIX EQUATION AX B=C. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 9(1), 31-42. SID. https://sid.ir/paper/310369/en

    Vancouver: Copy

    AMAN MASSOUD. DIAGONAL AND MONOMIAL SOLUTIONS OF THE MATRIX EQUATION AX B=C. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2014;9(1):31-42. Available from: https://sid.ir/paper/310369/en

    IEEE: Copy

    MASSOUD AMAN, “DIAGONAL AND MONOMIAL SOLUTIONS OF THE MATRIX EQUATION AX B=C,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 9, no. 1, pp. 31–42, 2014, [Online]. Available: https://sid.ir/paper/310369/en

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