Results 11 to 20 of about 5,394,718 (279)
On a Factorisation of Positive Definite Matrices [PDF]
Canadian Mathematical Bulletin, 1963 All our matrices are square with real elements. The Schur product of two n × n matrices B = (bij) and C = (cij) (i, j, = 1, 2, …, n), is an n × n matrix A = (aij) with aij = bij cij, (i, j = 1, 2, …, n).A result due to Schur [1] states that if B and C are symmetric positive definite matrices then so is their Schur product A. A question now a rises. Can
Kulendra N. Majindar
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Positive Definite Matrices and Catalan Numbers [PDF]
Proceedings of the American Mathematical Society, 1980 It is shown that the number of n × n
Leighton, Frank Thomson, Newman, Morris
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A Note on Positive Definite Matrices [PDF]
, 1971 4 pages, 1 article*A Note on Positive Definite Matrices* (Solomon, D.
Solomon, D. L. +3 more
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On Principal Minors of Positive Definite Matrices [PDF]
, 1981 3 pages, 1 article*On Principal Minors of Positive Definite Matrices* (Searle, S.
Searle, S. R. +3 more
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Hermitian positive definite Toeplitz matrices and Hessenberg matrices [PDF]
Computational and Mathematical Methods, 2019 In the context of orthogonal polynomials, an interesting class of Hermitian positive definite (HPD) matrices are those that are moment matrices with respect to a measure μ with support on the complex plane. In a more general framework, we establish a one-to-one correspondence between infinite upper Hessenberg matrices with positive subdiagonal and HPD ...
Escribano Iglesias, M. del Carmen +2 more
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Norms of positive definite toeplitz matrices and detection of almost periodic components in random signals [PDF]
, 2014 For positive definite Toeplitz matrices generated by trigonometric moments of a non-negative measure we note that the Hilbert-Schmidt norm and the maximal eigenvalue satisfy certain limiting relations.
Tkachenko Gorski, Igor Mijail +7 more
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Gyrovector Spaces on the Open Convex Cone of Positive Definite Matrices [PDF]
Mathematics Interdisciplinary Research, 2016 In this article we review an algebraic definition of the gyrogroup and a simplified version of the gyrovector space with two fundamental examples on the open ball of finite-dimensional Euclidean spaces, which are the Einstein and Möbius gyrovector ...
Sejong Kim
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Products of positive definite matrices. II [PDF]
Pacific Journal of Mathematics, 1967 I. The author gives, for every positive integer \(j\), necessary and sufficient conditions for a \(2\times 2\) real matrix (with positive determinant) to be a product of \(j\) positive definite real symmetric matrices (if \(j\ge 5\), every real matrix with positive determinant can be written as such a product).
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On means of positive definite matrices [PDF]
, 1979 If f is a positive function on (0, ∞) which is monotone of order n for every n in the sense of Löwner and if Φ1 and Φ2 are concave maps among positive definite matrices, then the following map involving tensor products: (A,B)↦f[Φ1(A)−1⊗Φ2(B)]·(Φ1(A)⊗I ...
Ahsani, Sima +4 more
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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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