Results 21 to 30 of about 4,991,356 (250)
Ordering positive definite matrices [PDF]
Information Geometry, 2018 We introduce new partial orders on the set Sn+$$S^+_n$$ of positive definite matrices of dimension n derived from the affine-invariant geometry of Sn+$$S^+_n$$. The orders are induced by affine-invariant cone fields, which arise naturally from a local analysis of the orders that are compatible with the homogeneous geometry of Sn+$$S^+_n$$ defined by ...
Cyrus Mostajeran, Rodolphe Sepulchre
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Positive definite indistinguishability operators [PDF]
Fuzzy Sets and Systems, 2020 Peer ...
Recasens Ferrés, Jorge +1 more
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Revista Integración, 2022 In this paper we prove among others that, if the positive definite matrices A, B of order n satisfy the condition 0 < mIn ≤ B − A ≤ M In, for some constants 0 < m < M, where In is the identity matrix, then0 ≤ (1 − t) [det (A)]−1 + t [det (A + mIn)]−1 − [
Silvestru Sever Dragomir
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Geometrical Inverse Preconditioning for Symmetric Positive Definite Matrices
Mathematics, 2016 We focus on inverse preconditioners based on minimizing F ( X ) = 1 − cos ( X A , I ) , where X A is the preconditioned matrix and A is symmetric and positive definite. We present and analyze gradient-type methods to minimize F ( X )
Jean-Paul Chehab, Marcos Raydan
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Positive definiteness and positive differences
Journal of Combinatorial Theory, Series A, 1972 AbstractA previous inequality [2] in certain context, which holds in the application to the monotonicity of correlations in classical discrete Heisenberg ferromagnets with 2-dimensional spin [3], is extended to positive definiteness of a function on a group.
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Cholesky-based model averaging for covariance matrix estimation
Statistical Theory and Related Fields, 2017 Estimation of large covariance matrices is of great importance in multivariate analysis. The modified Cholesky decomposition is a commonly used technique in covariance matrix estimation given a specific order of variables.
Hao Zheng +3 more
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Positive definite branched continued fractions of special form
Karpatsʹkì Matematičnì Publìkacìï, 2013 Research of the class of branched continued fractions of special form, whose denominators do not equal to zero, is proposed and the connection of such fraction with a certain quadratic form is established.
R.I. Dmytryshyn
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On positive positive-definite functions and Bochner’s Theorem
Journal of Complexity, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aicke Hinrichs, Jan Vybíral
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Positive Definite Norm Dependent Matrices In Stochastic Modeling
Demonstratio Mathematica, 2014 Positive definite norm dependent matrices are of interest in stochastic modeling of distance/norm dependent phenomena in nature. An example is the application of geostatistics in geographic information systems or mathematical analysis of varied spatial ...
Kuniewski Sebastian P. +1 more
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On The Frobenius Condition Number of Positive Definite Matrices
Journal of Inequalities and Applications, 2010 We present some lower bounds for the Frobenius condition number of a positive definite matrix depending on trace, determinant, and Frobenius norm of a positive definite matrix and compare these results with other results. Also, we give a relation for the
Ramazan Türkmen +1 more
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