Results 31 to 40 of about 138,468 (211)
Pseudo‐Hermitian random matrix theory [PDF]
Fortschritte der Physik, 2012 AbstractComplex extension of quantum mechanics and the discovery of pseudo‐unitarily invariant random matrix theory has set the stage for a number of applications of these concepts in physics. We briefly review the basic ideas and present applications to problems in statistical mechanics where new results have become possible.
Srivastava, S. C. L., Jain, S. R.
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Definitizable hermitian matrix pencils
Aequationes Mathematicae, 1992 The paper presents three characterizations of strongly definitizable pencils, which generalize the classical results for definite pencils. They are in particular stably simultaneously diagonable. Also this form of stability is discussed with respect to an open subset of the real line. Implications for some quadratic eigenvalue problems are included.
LANCASTER, P., Ye, Qiang
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Hermitian analyticity versus Real analyticity in two-dimensional factorised S-matrix theories [PDF]
, 1999 The constraints implied by analyticity in two-dimensional factorised S-matrix theories are reviewed. Whenever the theory is not time-reversal invariant, it is argued that the familiar condition of `Real analyticity' for the S-matrix amplitudes has to be ...
Brazhnikov +12 more
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Relative Perturbation Theory for Quadratic Eigenvalue Problems [PDF]
, 2016 In this paper, we derive new relative perturbation bounds for eigenvectors and eigenvalues for regular quadratic eigenvalue problems of the form $\lambda^2 M x + \lambda C x + K x = 0$, where $M$ and $K$ are nonsingular Hermitian matrices and $C$ is a ...
Benner, Peter +3 more
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Matrix Cauchy and Hilbert transforms in Hermitian quaternionic Clifford analysis [PDF]
, 2013 Recently the basic setting has been established for the development of quaternionic Hermitian Clifford analysis, a theory centred around the simultaneous null solutions, called q-Hermitian monogenic functions, of four Hermitian Dirac operators in a ...
Abreu-Blaya, Ricardo +4 more
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Structure of trajectories of complex-matrix eigenvalues in the Hermitian–non-Hermitian transition [PDF]
Physical Review E, 2012 The statistical properties of trajectories of eigenvalues of Gaussian complex matrices whose Hermitian condition is progressively broken are investigated. It is shown how the ordering on the real axis of the real eigenvalues is reflected in the structure of the trajectories and also in the final distribution of the eigenvalues in the complex plane.
Bohigas, O. +2 more
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The Hermitian -Conjugate Generalized Procrustes Problem
Abstract and Applied Analysis, 2013 We consider the Hermitian -conjugate generalized Procrustes problem to find Hermitian -conjugate matrix such that is minimum, where , , , and (, ) are given complex matrices, and and are positive integers. The expression of the solution to Hermitian
Hai-Xia Chang +2 more
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Exact correlators in the Gaussian Hermitian matrix model
Physics Letters B, 2019 We present the W1+∞ constraints for the Gaussian Hermitian matrix model, where the constructed constraint operators yield the W1+∞ n-algebra. For the Virasoro constraints, we note that the constraint operators give the null 3-algebra.
Bei Kang +4 more
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Hilbert’s 17th problem in free skew fields
Forum of Mathematics, Sigma, 2020 This paper solves the rational noncommutative analogue of Hilbert’s 17th problem: if a noncommutative rational function is positive semidefinite on all tuples of Hermitian matrices in its domain, then it is a sum of Hermitian squares of noncommutative ...
Jurij Volčič
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Non-Hermitian Generalization of Rényi Entropy
Entropy, 2022 From their conception to present times, different concepts and definitions of entropy take key roles in a variety of areas from thermodynamics to information science, and they can be applied to both classical and quantum systems.
Daili Li, Chao Zheng
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