Result: A Solution Matrix by IEVP under the Central Principle Submatrix Constraints
Title:
A Solution Matrix by IEVP under the Central Principle Submatrix Constraints
Authors:
Source:
Journal of Mathematics, Vol 2024 (2024)
Publisher Information:
Wiley, 2024.
Publication Year:
2024
Subject Terms:
Convex Optimization, Matrix (chemical analysis), Social Sciences, 01 natural sciences, Decision Sciences, Interior-Point Methods, Eigenvalue Problems, QA1-939, FOS: Mathematics, 0101 mathematics, Matrix Algorithms and Iterative Methods, Numerical Analysis, Algebra over a field, Chromatography, Numerical Optimization Techniques, Pure mathematics, Applied mathematics, Chemistry, Computational Theory and Mathematics, Combinatorics, Computer Science, Physical Sciences, Uncertainty Quantification and Sensitivity Analysis, Statistics, Probability and Uncertainty, Iterative Methods, Mathematics, Matrix Computations
Document Type:
Academic journal
Article<br />Other literature type
Language:
English
ISSN:
2314-4785
2314-4629
2314-4629
DOI:
10.1155/2024/7908231
DOI:
10.60692/hnn01-8kh51
DOI:
10.60692/p8v9r-v1641
Rights:
CC BY
Accession Number:
edsair.doi.dedup.....17c1825a56f6b64b87cfa6c6cc6981fb
Database:
OpenAIRE
Further Information
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.