Geodesic
Nearest southeast submatrix that makes two prescribed eigenvalues
Filomat, Tome 36 (2022) no. 6, p. 1921

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DOI

Given four complex matrices A, B, C and D where A ∈ C n×n and D ∈ C m×m and given two distinct arbitrary complex numbers λ 1 and λ 2 , so that they are not eigenvalues of the matrix A, we find a nearest matrix from the set of matrices X ∈ C m×m to matrix D (with respect to spectral norm) such that the matrix A B C X has two prescribed eigenvalues λ 1 and λ 2.
DOI : 10.2298/FIL2206921N
Classification : 15A18, 15A60, 15A09, 93B10
Keywords: Distance of matrices, Eigenvalues, Singular value, Moore-Penrose, Spectral norm 
Alimohammad Nazari; Atiyeh Nezami. Nearest southeast submatrix that makes two prescribed eigenvalues. Filomat, Tome 36 (2022) no. 6, p. 1921 . doi: 10.2298/FIL2206921N
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     author = {Alimohammad Nazari and Atiyeh Nezami},
     title = {Nearest southeast submatrix that makes two prescribed eigenvalues},
     journal = {Filomat},
     pages = {1921 },
     year = {2022},
     volume = {36},
     number = {6},
     doi = {10.2298/FIL2206921N},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2206921N/}
}
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