Results 11 to 20 of about 156 (29)
Numerical construction of structured matrices with given eigenvalues
We consider a structured inverse eigenvalue problem in which the eigenvalues of a real symmetric matrix are specified and selected entries may be constrained to take specific numerical values or to be nonzero.
Sutton Brian D.
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The plain Newton-min algorithm for solving the linear complementarity problem (LCP) “0⩽x⊥(Mx+q)⩾0” can be viewed as an instance of the plain semismooth Newton method on the equational version “min(x,Mx+q)=0” of the problem.
Jean-Pierre Dussault +2 more
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A note on completing quasi-distance and distance matrices
We give a necessary and sufficient condition for the existence of a quasi-distance matrix where some positive off-diagonal entries have been prescribed. Moreover, we give an algorithm for obtaining such a matrix.
Zhang Yulin +2 more
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Harmonic reconstruction systems [PDF]
This paper considers group reconstruction systems (GRS’s), for finite dimensional real or complex Hilbert spaces H, that are associated with unitary representations of finite abelian groups.
Morillas, Patricia Mariela
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On certain multivariate Vandermonde determinants whose variables separate
We prove that for almost square tensor product grids and certain sets of bivariate polynomials the Vandermonde determinant can be factored into a product of univariate Vandermonde determinants. This result generalizes the conjecture [Lemma 1, L.
De Marchi, Stefano, Usevich, Konstantin
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Global product structure for a space of special matrices
The importance of the Hurwitz Metzler matrices and the Hurwitz symmetric matrices can be appreciated in different applications: communication networks, biology and economics are some of them. In this paper, we use an approach of differential topology for
Aguirre-Hernández, Baltazar +3 more
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Some spectral bounds for the harmonic matrix
The aim of this note is to establish new spectral bounds for the harmonic matrix.
Das Kinkar Ch., Fonseca Carlos M. da
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Patterns with several multiple eigenvalues
Identified are certain special periodic diagonal matrices that have a predictable number of pairedeigenvalues. Since certain symmetric Toeplitz matrices are special cases, those that have several multiple 5eigenvalues are also investigated further.
Dorsey J., Johnson C.R., Wei Z.
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Variations in the sub-defect of doubly substochastic matrices
The sub-defect of a doubly stochastic matrix AA, denoted as sd(A)=⌈n−sum(A)⌉sd\left(A)=\lceil n-{\rm{sum}}\left(A)\rceil , is defined as the minimum number of rows and columns required to be added to transform the doubly substochastic matrix into a ...
Cao Lei +2 more
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Power Partial Isometry Index and Ascent of a Finite Matrix [PDF]
We give a complete characterization of nonnegative integers $j$ and $k$ and a positive integer $n$ for which there is an $n$-by-$n$ matrix with its power partial isometry index equal to $j$ and its ascent equal to $k$.
Gau, Hwa-Long, Wu, Pei Yuan
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