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Akweittey, Emmanuel; Gyamfi, Kwasi B.; Oduro, F. T.; Ayekple, Y. E.

Inverse eigenvalue problem for symmetric matrices in the context of the Lie group \(SO(n)\). (English) Zbl 07861112

JP J. Algebra Number Theory Appl. 63, No. 3, 247-263 (2024).

MSC:

15A18 Eigenvalues, singular values, and eigenvectors
11F22 Relationship to Lie algebras and finite simple groups

Keywords:

inverse eigenvalue problem; symmetric matrices; Lie group \(SO(n)\); linearization
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References:

[1] Francis T. Oduro, Solution of the inverse eigenvalue problem for certain (anti-) Hermitian matrices using Newton’s method, Journal of Mathematics Research 6(2) (2014), 64-71.
[2] Emmanuel Akweittey, Kwasi Baah Gyamfi and Gabriel Obed Fosu, Solubility existence of inverse eigenvalue problem for a class of singular Hermitian matrices, Journal of Mathematics and System Science 9 (2019), 119-123.
[3] Daniel Boley and Gene H. Golub, A survey of matrix inverse eigenvalue problems, Inverse Problems 3(4) (1987), 595. · Zbl 0633.65036
[4] Jing Cai and Jianlong Chen, Least-squares solutions of generalized inverse Inverse Eigenvalue Problem for Symmetric Matrices … 263 eigenvalue problem over Hermitian-Hamiltonian matrices with a submatrix constraint, Computational and Applied Mathematics 37(1) (2018), 593-603. · Zbl 1394.15011
[5] Anthony G. Cronin and Thomas J. Laffey, The diagonalizable nonnegative inverse eigenvalue problem, Special Matrices 6(1) (2018), 273-281.
[6] Charles R. Johnson, Carlos Marijuán and Miriam Pisonero, Ruling out certain 5-spectra for the symmetric nonnegative inverse eigenvalue problem, Linear Algebra and its Applications 512 (2017), 129-135. · Zbl 1353.15008
[7] Xia Ji, Jiguang Sun and Hehu Xie, A multigrid method for Helmholtz transmission eigenvalue problems, Journal of Scientific Computing 60(2) (2014), 276-294. · Zbl 1305.65225
[8] K. B. Gyamfi, Solution of inverse eigenvalue problem of certain singular Hermitian matrices, Ph. D. Thesis, Kwame Nkrumah University of Science and Technology, Kumasi, 2012.
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