Results 51 to 60 of about 5,018 (185)
Binary positive semidefinite matrices and associated integer polytopes [PDF]
, 2010 We consider the positive semidefinite (psd) matrices with binary entries, along with the corresponding integer polytopes.We begin by establishing some basic properties of these matrices and polytopes.
Sorensen, M M +3 more
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Spectral linear matrix inequalities
, 2021 We prove, under a certain representation theoretic assumption, that the set of real symmetric matrices, whose eigenvalues satisfy a linear matrix inequality, is itself a spectrahedron.
Kummer, Mario
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Inequalities for J-Hermitian matrices
, 2005 Indefinite versions of classical results of Schur, Ky Fan and Rayleigh-Ritz on Hermitian matrices are stated to J-Hermitian matrices, J = Ir ⊕ −In − r, 0 < r < n).
Lemos, Rute +4 more
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Eigenvalues for Sums of Hermitian Matrices
, 2023 In this thesis we explore how the eigenvalues of nxn Hermitian matrices A,B relate to the eigenvalues of their sum C=A+B. We mainly focus on inequalities bounding sums of r eigenvalues for C by sums of r eigenvalues for A with r eigenvalues for B, for ...
NC DOCKS at East Carolina University +1 more
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Müntz linear transforms of Brownian motion [PDF]
, 2014 We consider a class of Volterra linear transforms of Brownian motion associated to a sequence of Müntz Gaussian spaces and determine explicitly their kernels; the kernels take a simple form when expressed in terms of Müntz-Legendre polynomials. These are
Wu, Ching-Tang, Alili, Larbi
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Dissipative stability theory for linear repetitive processes with application in iterative learning control [PDF]
, 2009 This paper develops a new set of necessary and sufficient conditions for the stability of linear repetitive processes, based on a dissipative setting for analysis.
Steinbuch, M Maarten +12 more
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Inequalities for permanents and permanental minors of row substochastic matrices
, 2019 In this paper, some inequalities for permanents and permanental minors of row substochastic matrices are proved. The convexity of the permanent function on the interval between the identity matrix and an arbitrary row substochastic matrix is also proved.
Chen, Zhi +4 more
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Inequalities for totally nonnegative matrices: Gantmacher--Krein, Karlin, and Laplace
, 2023 A real linear combination of products of minors which is nonnegative over all totally nonnegative (TN) matrices is called a determinantal inequality for these matrices.
Fallat, Shaun M. +1 more
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Transportation of measure, Young diagrams and random matrices. [PDF]
, 2004 The theory of transportation of mesure for general cost functions is used to obtain a novel logarithmic Sobolev inequality for measures on phase spaces of high dimension and hence a concentration of measure inequality.
Blower, Gordon
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A norm inequality for three matrices [PDF]
, 2022 We prove a Frobenius norm inequality for three matrices, analogous to the well-known Bottcher--Wenzel inequality. The situation is also similar: standard inequalities would yield an upper bound, which however can be reduced by means of further, detailed ...
László, Lajos
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