Results 11 to 20 of about 16,710 (257)
Measuring Sphericity in Positive Semi-Definite Matrices [PDF]
AxiomsThe measure of sphericity for positive semi-definite matrices plays a crucial role in understanding their geometric properties, especially in high-dimensional settings.
Dário Ferreira, Sandra S. Ferreira
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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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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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Intrinsic data depth for Hermitian positive definite matrices [PDF]
, 2018 Nondegenerate covariance, correlation and spectral density matrices are necessarily symmetric or Hermitian and positive definite. This paper develops statistical data depths for collections of Hermitian positive definite matrices by exploiting the ...
Ombao, Hernando +2 more
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On a Factorisation of Positive Definite Matrices [PDF]
, 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 ...
Kulendra N. Majindar
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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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Journal of Kufa for Mathematics and Computer, 2010 In this paper, two separately methods were suggested for coding information .The first method was introduced using the directness of symmetric matrices .The contraction function was used for introducing the second method .For more complexity the ...
Adel Mohammad Hassan Rizak Al-Rammahi
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Annals of the West University of Timisoara: Mathematics and Computer Science, 2023 In this paper we prove among others that, if (Aj)j=1,...,m are positive definite matrices of order n ≥ 2 and qj ≥ 0, j = 1, ..., m with ∑j=1mqj=1$$\sum\nolimits_{j = 1}^m {{q_j} = 1} $$, then 0≤11−mini∈{1,…,m}{qi}×[∑i=1mqi(1−qi)[det(Ai)]−1−2n+1∑1 ...
Dragomir Silvestru Sever
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Dimensionality Reduction of SPD Data Based on Riemannian Manifold Tangent Spaces and Isometry
Entropy, 2021 Symmetric positive definite (SPD) data have become a hot topic in machine learning. Instead of a linear Euclidean space, SPD data generally lie on a nonlinear Riemannian manifold.
Wenxu Gao +3 more
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Positive definite completions of partial Hermitian matrices [PDF]
, 1984 The question of which partial Hermitian matrices (some entries specified, some free) may be completed to positive definite matrices is addressed. It is shown that if the diagonal entries are specified and principal minors, composed of specified entries ...
Eduardo M. Sá +7 more
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