Results 11 to 20 of about 480 (138)
Inverse Eigenvalue Problem and Least-Squares Problem for Skew-Hermitian {P,K + 1}-Reflexive Matrices
Journal of Mathematics, 2022 This paper involves related inverse eigenvalue problem and least-squares problem of skew-Hermitian {P,k + 1}-reflexive(antireflexive) matrices and their optimal approximation problems.
Chang-Zhou Dong, Hao-Xue Li
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On the solvability of an equation involving the Smarandache function and Euler function [PDF]
, 2008 In this paper, authors use the properties and the curve figure of two functions to study the solvability of an ...
Duany, Weiguo, Xue, Yanrong
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Local laws for non-Hermitian random matrices and their products
, 2020 Götze F, Naumov A, Tikhomirov A. Local laws for non-Hermitian random matrices and their products. Random Matrices: Theory and Applications. 2020;9(4): 2150004.We consider products of independent n x n non-Hermitian random matrices X-(1), ..., X-(m ...
Tikhomirov, Alexander +2 more
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The spectral spread of Hermitian matrices
, 2021 Let A be an n×n complex Hermitian matrix and let λ(A)=(λ1,…,λn)∈Rn denote the eigenvalues of A, counting multiplicities and arranged in non-increasing order.
Stojanoff, Demetrio +2 more
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Hermitian Octonion Matrices and Numerical Ranges
, 2014 Notions of numerical ranges and joint numerical ranges of octonion matrices are introduced. Various properties of hermitian octonion matrices related to eigenvalues and convex cones, such as the convex cone of positive semidefinite matrices, are ...
William & Mary, Dept Math
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Inversion and factorization of non-Hermitian quasi-Toeplitz matrices
, 1988 This paper considers formulas and fast algorithms for the inversion and factorization of non-Hermitian Toeplitz and quasi-Toeplitz (QT) matrices (matrices with a certain “hidden” Toeplitz structure). The results include the following generalizations: (1)
Kailath, Thomas, Bistritz, Yuval
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Fortschritte der Physik, Volume 74, Issue 4, April 2026.ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
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Dissipative matrices and related results
, 1975 This paper gives a number of theorems extending or related to theorems obtained by Fan in an earlier paper on strictly dissipative matrices. The new results involve the eigenvalues of A -1A∗ and a determinantal inequality involving A and its Hermitian ...
Thompson, R.C.
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Indefinite Hamiltonian systems whose Titchmarsh–Weyl coefficients have no finite generalized poles of non-positive type [PDF]
, 2013 The two-dimensional Hamiltonian system (*) y'(x)=zJH(x)y(x), x∈(a,b), where the Hamiltonian H takes non-negative 2x2-matrices as values, and $J:= \begin{pmatrix} 0 & -1 \\ 1 & 0 \end{pmatrix}$, has attracted a lot of interest over the past decades ...
Harald Woracek +3 more
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Noncommutative polygonal cluster algebras
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract We define a new family of noncommutative generalizations of cluster algebras called polygonal cluster algebras. These algebras generalize the noncommutative surfaces of Berenstein–Retakh, and are inspired by the emerging theory of Θ$\Theta$‐positivity for the groups Spin(p,q)$\mathrm{Spin}(p,q)$.
Zachary Greenberg +3 more
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