Extremal Inverse Eigenvalue Problem for a Special Kind of Matrices
Keyword(s):
We consider the following inverse eigenvalue problem: to construct a special kind of matrix (real symmetric doubly arrow matrix) from the minimal and maximal eigenvalues of all its leading principal submatrices. The necessary and sufficient condition for the solvability of the problem is derived. Our results are constructive and they generate algorithmic procedures to construct such matrices.
2013 ◽
Vol 444-445
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pp. 625-627
A necessary and sufficient condition for the stabilisation of a matrix and its principal submatrices
2012 ◽
Vol 436
(7)
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pp. 2311-2314
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2016 ◽
Vol 6
(1)
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pp. 42-59
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1990 ◽
Vol 116
(1-2)
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pp. 177-191
2019 ◽
Vol 35
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pp. 53-64
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2005 ◽
Vol 26
(4)
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pp. 1115-1131