Results 41 to 50 of about 256 (175)
The nonexistence of rank 4 IP tensors in signature (1, 3)
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 5, Page 259-269, 2002., 2002 Let V be a real vector space of dimension 4 with a nondegenerate symmetric bilinear form of signature (1, 3). We show that there exists no algebraic curvature tensor R on V so that its associated skew‐symmetric operator R(⋅) has rank 4 and constant eigenvalues on the Grassmannian of nondegenerate 2‐planes in V.
Kelly Jeanne Pearson, Tan Zhang
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International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 5, Page 251-284, 2001., 2001 The systematic analysis of convergence conditions, used in comparison theorems proven for different matrix splittings, is presented. The central idea of this analysis is the scheme of condition implications derived from the properties of regular splittings of a monotone matrix A = M1 − N1 = M2 − N2.
Zbigniew I. Woźnicki
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Fixed points of rotations of n‐sphere
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 1, Page 221-222, 1999., 1999 We show that every rotation of an even‐dimensional sphere must have a fixed point.
Nagabhushana Prabhu
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On the Research of the Secondary Transpose of Tensors via the C‐Product
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This paper develops a secondary transpose for third‐order real tensors under the C‐product. The operation is defined in the discrete‐cosine‐transform domain, reverses the order of the C‐product, and is naturally related to the usual transpose through secondary identity tensors.
Hongwei Jin +3 more
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An ℋ-tensor-based criteria for testing the positive definiteness of multivariate homogeneous forms
Open Mathematics, 2022 A positive definite homogeneous multivariate form plays an important role in the field of optimization, and positive definiteness of the form can be identified by a special structured tensor.
Bai Dongjian, Wang Feng
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Spectral Characterization of the Eccentricity Matrix for Clean Graphs Over Rings of Specific Orders
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we study the eccentricity matrices of the clean graphs CLZp2 and CLZp⊕Zp. We begin by constructing these graphs and determining their eccentricity matrices. Then, we find the spectra of these matrices, that is, all eigenvalues together with their algebraic multiplicities.
Eman Rawshdeh +4 more
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A Fourth‐Order Ulm‐Type Method for Inverse Eigenvalue Problems
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.In this paper, we propose a fourth‐order Ulm‐type method for solving inverse eigenvalue problems based on a two‐step Ulm‐type iterative process and Cayley transform. Under some mild assumptions, our results indicate that our method is fourth‐order convergent. The numerical implementation proves the effectiveness of the proposed method.
Xin Li, Wei Ma, Zhaojie Zhou
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Veterinary Dermatology, Volume 35, Issue 1, Page 15-24, February 2024.Background – Canine atopic dermatitis (cAD) is a common, complex and multifactorial disease involving, among others, genetic predisposition, environmental factors and allergic sensitisation. Objective – This review summarises the current evidence on the role of genetic and environmental factors and allergic sensitisation in the pathogenesis of cAD ...
Patrick Hensel +13 more
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Special Matrices, 2019 Given a combinatorially symmetric matrix A whose graph is a tree T and its eigenvalues, edges in T can be classified in four categories, based upon the change in geometric multiplicity of a particular eigenvalue, when the edge is removed.
Toyonaga Kenji
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Sensitivity Analysis of All Eigenvalues of a Symmetric Matrix
, 1995 A(x). Based on Ky Fan's variational formulation of fm and some chain rule from nonsmooth analysis, we derive an explicit formula for the generalized gradient of fm and a computationally useful formula for the directional derivative of fm .
D. Ye +2 more
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