An arbitrary band structure construction of totally nonnegative matrices with prescribed eigenvalues (Q2407921)
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| English | An arbitrary band structure construction of totally nonnegative matrices with prescribed eigenvalues |
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An arbitrary band structure construction of totally nonnegative matrices with prescribed eigenvalues (English)
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6 October 2017
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The authors consider the problem of generating totally nonnegative matrices (TN for short; matrices whose minors are all nonnegative). In this respect they propose a method for the construction of banded TN matrices with an arbitrary number of diagonals in both lower and upper triangular parts and prescribed eigenvalues, involving upper Hessenberg, lower Hessenberg, and dense TN matrices with prescribed eigenvalues.
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extended discrete hungry Toda equation
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finite-step construction
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inverse eigenvalue problem
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totally nonnegative matrices
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