Hochstadt inverse eigenvalue problem for Jacobi matrices
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.05.014
Abstract: Abstract In this study, we give the necessary and sufficient conditions for the existence of a solution to the Hochstadt inverse eigenvalue problem (HIEP), i.e., the problem of recovering n unknown parameters of a Jacobi… read more here.
Keywords: eigenvalue problem; inverse eigenvalue; hochstadt inverse; problem jacobi ... See more keywords
A quadratically convergent algorithm based on matrix equations for inverse eigenvalue problems
Sign Up to like & getrecommendations! Published in 2017 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2017.05.019
Abstract: Abstract We propose a quadratically convergent algorithm for inverse symmetric eigenvalue problems based on matrix equations. The basic idea is seen in a recent study by Ogita and Aishima, while they derive an efficient iterative… read more here.
Keywords: quadratically convergent; based matrix; inverse eigenvalue; eigenvalue problems ... See more keywords
Inverse eigenvalue problems for a damped Stieltjes string with mixed data
Sign Up to like & getrecommendations! Published in 2020 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2020.04.023
Abstract: Abstract In this paper, we consider the inverse eigenvalue problem for a Stieltjes string subject to the Robin condition at the left end and a damping condition at the right end with mixed data, which… read more here.
Keywords: inverse eigenvalue; stieltjes string; mixed data; eigenvalue problems ... See more keywords
On the inverse eigenvalue problem for block graphs
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DOI: 10.1016/j.laa.2021.09.008
Abstract: The inverse eigenvalue problem of a graph G aims to find all possible spectra for matrices whose (i, j)-entry, for i 6= j, is nonzero precisely when i is adjacent to j. In this work,… read more here.
Keywords: graphs; eigenvalue problem; block graphs; inverse eigenvalue ... See more keywords
The Inverse Eigenvalue Problem of a Graph, Zero Forcing, and Related Parameters
Sign Up to like & getrecommendations! Published in 2020 at "Notices of the American Mathematical Society"
DOI: 10.1090/noti2033
Abstract: The authors of this piece are organizers of the AMS 2020 Mathematics Research Communities summer conference Finding Needles in Haystacks: Approaches to Inverse Problems Using Combinatorics and Linear Algebra, one of five topical research conferences… read more here.
Keywords: research; problem graph; zero forcing; eigenvalue problem ... See more keywords
The Diagonalizable Nonnegative Inverse Eigenvalue Problem
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DOI: 10.1515/spma-2018-0023
Abstract: Abstract In this articlewe provide some lists of real numberswhich can be realized as the spectra of nonnegative diagonalizable matrices but which are not the spectra of nonnegative symmetric matrices. In particular, we examine the… read more here.
Keywords: eigenvalue problem; nonnegative inverse; nonnegative diagonalizable; inverse eigenvalue ... See more keywords
On the inverse eigenvalue problem for a special kind of acyclic matrices
Sign Up to like & getrecommendations! Published in 2019 at "Applications of Mathematics"
DOI: 10.21136/am.2019.0242-18
Abstract: We study an inverse eigenvalue problem (IEP) of reconstructing a special kind of symmetric acyclic matrices whose graph is a generalized star graph. The problem involves the reconstruction of a matrix by the minimum and… read more here.
Keywords: eigenvalue problem; problem; acyclic matrices; inverse eigenvalue ... See more keywords