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Hermitian matrix inversion algorithm
Advanced Engineering Research, 2015 The work objective is speeding the covariance matrix converter of the adaptive antenna array interference by reducing the number of operations performed. A problem of developing an aprior information inversion algorithm relying on the Hermitian nature of
Marina Yuryevna Zvezdina +3 more
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Pseudo-hermitian random matrix models: General formalism
Nuclear Physics B, 2022 Pseudo-hermitian matrices are matrices hermitian with respect to an indefinite metric. They can be thought of as the truncation of pseudo-hermitian operators, defined over some Krein space, together with the associated metric, to a finite dimensional ...
Joshua Feinberg, Roman Riser
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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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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, Liqun Qi
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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 ...
Roberto A. Machado +2 more
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A NISQ Method to Simulate Hermitian Matrix Evolution [PDF]
Entropy, 2022 As a universal quantum computer requires millions of error-corrected qubits, one of the current goals is to exploit the power of noisy intermediate-scale quantum (NISQ) devices.
Keren Li, Pan Gao
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Probing non-orthogonality of eigenvectors in non-Hermitian matrix models: diagrammatic approach [PDF]
Journal of High Energy Physics, 2018 A bstractUsing large N arguments, we propose a scheme for calculating the two-point eigenvector correlation function for non-normal random matrices in the large N limit.
Maciej A. Nowak, Wojciech Tarnowski
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Matrix pencils with coefficients that have positive semidefinite Hermitian part [PDF]
SIAM Journal on Matrix Analysis and Applications, 2021 We analyze when an arbitrary matrix pencil is equivalent to a dissipative Hamiltonian pencil and show that this heavily restricts the spectral properties.
Christian Mehl +2 more
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A matrix model from string field theory
Frontiers in Physics, 2016 We demonstrate that a Hermitian matrix model can be derived from level truncated open string field theory with Chan-Paton factors. The Hermitian matrix is coupled with a scalar and U(N) vectors which are responsible for the D-brane at the tachyon vacuum.
Syoji Zeze
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Abstract and Applied Analysis, 2019 In this paper, we derive explicit determinantal representation formulas of general, Hermitian, and skew-Hermitian solutions to the generalized Sylvester matrix equation involving ⁎-Hermicity AXA⁎+BYB⁎=C over the quaternion skew field within the framework
Ivan I. Kyrchei
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