Results 11 to 20 of about 156 (30)
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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Generalized modularity matrices [PDF]
Various modularity matrices appeared in the recent literature on network analysis and algebraic graph theory. Their purpose is to allow writing as quadratic forms certain combinatorial functions appearing in the framework of graph clustering problems. In
D. Fasino +12 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
core +4 more sources
Characterizations of Mersenne and 2-rooted primes [PDF]
We give several characterizations of Mersenne primes (Theorem 1.1) and of primes for which 2 is a primitive root (Theorem 1.2). These characterizations involve group algebras, circulant matrices, binomial coefficients, and bipartite graphs.Comment: 19 ...
Chebolu, Sunil K. +2 more
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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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Explicit inverse of a tridiagonal (p,r)-Toeplitz matrix [PDF]
We have named tridiagonal (p,r)–Toeplitz matrix to those tridiagonal matrices in which each diagonal is a quasi–periodic sequence, d(p+j)=rd(j), so with period p¿N but multiplied by a real number r. We present here the necessary and sufficient conditions
Encinas Bachiller, Andrés Marcos +1 more
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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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