Results 11 to 20 of about 30,222 (232)
Commutativity and spectra of Hermitian matrices
Linear Algebra and its Applications, 1994 Si deux matrices hermitiennes commutent \((AB = BA)\), alors les valeurs propres de leur somme sont exactement les sommes des valeurs propres des deux matrices. La réciproque n'est pas vraie en général. De plus, l'A montre la commutativité de certaines matrices hermitiennes suivant une propriété \(L\) -- il existe une permutation \(\pi\) de \(\{1 ...
W. So
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Density matrices in quantum gravity [PDF]
SciPost Physics, 2020 We study density matrices in quantum gravity, focusing on topology change. We argue that the inclusion of bra-ket wormholes in the gravity path integral is not a free choice, but is dictated by the specification of a global state in the multi-universe
Tarek Anous, Jorrit Kruthoff, Raghu Mahajan
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A Quantum Algorithm for the Commutativity of Finite Dimensional Algebras
IEEE Access, 2019 A quantum procedure for testing the commutativity of a finite dimensional algebra is introduced. This algorithm, based on Grover's quantum search, is shown to provide a quadratic speed-up (when the number of queries to the algebra multiplication ...
Elias F. Combarro +2 more
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Commutativity for Matrices of Quaternions
Canadian Journal of Mathematics, 1968 For any ring we shall denote by the ring of all n × n matrices with elements from and by the set of all polynomials in x with coefficients from . will denote the non-commutative four-dimensional division algebra of real quaternions with 1, i1, i2, i3 as ...
R. E. Carlson, C. Cullen
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Commutativity of (2 × 2) selfadjoint matrices [PDF]
Bulletin of the Australian Mathematical Society, 1993 An elementary proof is given of the fact that an n–tuple A = (A1, …, An) of self-adjoint matrices in a 2-dimensional Hilbert space consists of mutually commuting matrices Aj, 1 ≤ j ≤ n, if and only if γ(A) is non-empty. Here γ(A) ⊆ ℝn is the joint spectrum of A (in the sense of McIntosh and Pryde) consisting of those points β ∈ ℝn for which the matrix
W. Ricker
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Mappings preserving spectrum and commutativity on Hermitian matrices
Linear Algebra and Its Applications, 1999 The general form of a continuous mapping φ acting on the real vector space of all n × n complex Hermitian or real symmetric matrices, and preserving spectrum and commutativity, is derived.
T. Petek
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Generalized orthopair fuzzy matrices based on Hamacher operations [PDF]
Mathematica Moravica, 2022 The objective of this paper is to apply the concept of intuitionistic fuzzy matrices and pythagorean fuzzy matrices to q-rung orthopair fuzzy matrices. In this paper, we introduce the Hamacher operations of q-rung orthopair fuzzy matrices and prove some ...
Silambarasan I.
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On approximate commutativity of spaces of matrices [PDF]
Linear Algebra and its Applications, 2022 The maximal dimension of commutative subspaces of $M_n(\mathbb{C})$ is known. So is the structure of such a subspace when the maximal dimension is achieved.
M. Omladič, H. Radjavi, Klemen Šivic
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A note on $K$-commutativity of matrices
Proceedings of the American Mathematical Society, 1972 E. Dixon, Nancy Wong
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Commutativity of the adjacency matrices of graphs
Discrete Mathematics, 2009 S. Akbari, F. Moazami, A. Mohammadian
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