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A Solution Matrix by IEVP under the Central Principle Submatrix Constraints

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Listed:
  • Vineet Bhatt
  • Manpreet Kaur
  • I. Ahmed M. AL-Hammadi
  • Sunil Kumar
  • Ram Jiwari

Abstract

The n×n real matrix P is called centrosymmetric matrix if P=RPR, where R is permutation matrix with ones on cross diagonal (bottom left to top right) and zeroes elsewhere. In this article, the solvability conditions for left and right inverse eigenvalue problem (which is special case of inverse eigenvalue problem) under the submatrix constraint for generalized centrosymmetric matrices are derived, and the general solution is also given. In addition, we provide a feasible algorithm for computing the general solution, which is proved by a numerical example.

Suggested Citation

  • Vineet Bhatt & Manpreet Kaur & I. Ahmed M. AL-Hammadi & Sunil Kumar & Ram Jiwari, 2024. "A Solution Matrix by IEVP under the Central Principle Submatrix Constraints," Journal of Mathematics, Hindawi, vol. 2024, pages 1-13, May.
    • Handle: RePEc:hin:jjmath:7908231
    DOI: 10.1155/2024/7908231
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