Results 11 to 20 of about 2,226,866 (302)
Hermitian-Randić matrix and Hermitian-Randić energy of mixed graphs
Journal of Inequalities and Applications, 2017 Let M be a mixed graph and H ( M ) $H(M)$ be its Hermitian-adjacency matrix. If we add a Randić weight to every edge and arc in M, then we can get a new weighted Hermitian-adjacency matrix. What are the properties of this new matrix?
Yong Lu, Ligong Wang, Qiannan Zhou
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Honeycombs from Hermitian Matrix Pairs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 Knutson and Tao's work on the Horn conjectures used combinatorial invariants called hives and honeycombs to relate spectra of sums of Hermitian matrices to Littlewood-Richardson coefficients and problems in representation theory, but these relationships ...
Glenn Appleby, Tamsen Whitehead
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Hermitian Matrix Model with Plaquette Interaction [PDF]
Nuclear Physics B, 1996 We study a hermitian $(n+1)$-matrix model with plaquette interaction, $\sum_{i=1}^n MA_iMA_i$. By means of a conformal transformation we rewrite the model as an $O(n)$ model on a random lattice with a non polynomial potential. This allows us to solve the
Ambjørn +23 more
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Hermitian vs. Anti-Hermitian 1-Matrix Models and Their Hierarchies [PDF]
Nuclear Physics B, 1991 Building on a recent work of \v C. Crnkovi\'c, M. Douglas and G. Moore, a study of multi-critical multi-cut one-matrix models and their associated $sl(2,C)$ integrable hierarchies, is further pursued.
Hollowood, Timothy +3 more
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Reduction of the pseudoinverse of a Hermitian persymmetric matrix [PDF]
Mathematics of Computation, 1974 When the pseudoinverse of a Hermitian persymmetric matrix is computed, both computer time and storage can be reduced by taking advantage of the special structure of the matrix.
Marvin J. Goldstein
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On the sign characteristics of Hermitian matrix polynomials
Linear Algebra and its Applications, 2016 AbstractThe sign characteristics of Hermitian matrix polynomials are discussed, and in particular an appropriate definition of the sign characteristics associated with the eigenvalue infinity. The concept of sign characteristic arises in different forms in many scientific fields, and is essential for the stability analysis in Hamiltonian systems or the
V. Mehrmann +3 more
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A Power Method for Computing the Dominant Eigenvalue of a Dual Quaternion Hermitian Matrix [PDF]
Journal of Scientific Computing, 2023 In this paper, we first study the projections onto the set of unit dual quaternions, and the set of dual quaternion vectors with unit norms. Then we propose a power method for computing the dominant eigenvalue of a dual quaternion Hermitian matrix. For a
Chunfeng Cui, L. Qi
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Superintegrability in $$\beta $$-deformed Gaussian Hermitian matrix model from W-operators [PDF]
The European Physical Journal C, 2022 This paper is devoted to the phenomenon of superintegrability. This phenomenon is manifested in the existence of a formula for character averages, expressed through the same characters at special points and of its various generalization. In this paper we
V. Mishnyakov, A. Oreshina
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HerA Scheme: Secure Distributed Matrix Multiplication via Hermitian Codes [PDF]
International Symposium on Information Theory, 2023 We consider the problem of secure distributed matrix multiplication (SDMM), where a user has two matrices and wishes to compute their product with the help of N honest but curious servers under the security constraint that any information about either A ...
R. A. Machado +2 more
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On the eigenvalues and diagonal entries of a Hermitian matrix
Linear Algebra and its Applications, 1993 Let \(A=[a_{ij}]\) be an \(n\times n\) Hermitian matrix, and let \(\lambda_ 1\geq\lambda_ 2 \geq\dots\geq \lambda_ n\) be its eigenvalues. Suppose that, for some \(k\), \(\lambda_ 1+\lambda_ 2 +\dots+\lambda_ k=a_{11}+ a_{22}+\dots+ a_{kk}\). Then the authors show that \(A\) is block diagonal of the form \(\text{diag}(A_ 1,A_ 2)\) where the blocks \(A_
Enzhong Fu, Thomas L. Markham
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