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Information Journal Paper

Title

ITERATIVE METHOD FOR MIRROR-SYMMETRIC SOLUTION OF MATRIX EQUATION AXB + CY D = E

Pages

  35-55

Abstract

 Mirror-symmetric matrices have important applications in studying odd/even-mode decomposition of symmetric multiconductor transmission lines (MTL). In this paper, we propose an iterative algorithm to solve the mirror-symmetric solution of MATRIX EQUATION AXB + CY D = E. With it, the solvability of the equation over mirror-symmetric X, Y can be determined automatically. When the equation is consistent, its solution can be obtained within finite iteration steps, and its least-norm mirror-symmetric solution can be obtained by choosing a special kind of initial iteration matrices. Furthermore, the related OPTIMAL APPROXIMATION problem is also solved. Numerical examples are given to show the efficiency of the presented method.

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    APA: Copy

    LI, J.F., HU, X.Y., DUAN, X.F., & ZHANG, L.. (2010). ITERATIVE METHOD FOR MIRROR-SYMMETRIC SOLUTION OF MATRIX EQUATION AXB + CY D = E. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 36(2), 35-55. SID. https://sid.ir/paper/572412/en

    Vancouver: Copy

    LI J.F., HU X.Y., DUAN X.F., ZHANG L.. ITERATIVE METHOD FOR MIRROR-SYMMETRIC SOLUTION OF MATRIX EQUATION AXB + CY D = E. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2010;36(2):35-55. Available from: https://sid.ir/paper/572412/en

    IEEE: Copy

    J.F. LI, X.Y. HU, X.F. DUAN, and L. ZHANG, “ITERATIVE METHOD FOR MIRROR-SYMMETRIC SOLUTION OF MATRIX EQUATION AXB + CY D = E,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 36, no. 2, pp. 35–55, 2010, [Online]. Available: https://sid.ir/paper/572412/en

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