Results 91 to 100 of about 2,226,866 (302)
On the variation of the spectrum of a Hermitian matrix
Applied Mathematics Letters, 2017 Abstract In this paper, we consider the eigenvalue variation for any perturbation of Hermitian matrices, and we obtain two perturbation bounds. The first bound always improves the existing bound, and the second bound also improves the existing one under a suitable condition. A simple example is given for comparing these bounds.
Seakweng Vong, Wen Li
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Analytical Solutions of the Driven Time‐Dependent Jaynes–Cummings Model
Annalen der Physik, EarlyView.Following the great strides made in the last decade towards the control and tunability of physical parameters in cavity quantum electrodynamics, this study presents new solutions to the dynamics of the time‐dependent Jaynes–Cummings model with variable external classical fields acting on the two‐level system and the quantized field mode.
Antonio Vidiella‐Barranco +5 more
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A New Surrogating Algorithm by the Complex Graph Fourier Transform (CGFT)
Entropy, 2019 The essential step of surrogating algorithms is phase randomizing the Fourier transform while preserving the original spectrum amplitude before computing the inverse Fourier transform.
Jordi Belda +4 more
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Non-Hermitian Fabry-Pérot resonances in a PT-symmetric system
Physical Review Research, 2021 In non-Hermitian scattering problems, the behavior of the transmission probability is very different from its Hermitian counterpart; it can exceed unity or even be divergent, since the non-Hermiticity can add or remove the probability to and from the ...
Ken Shobe +3 more
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Critical System Size for the Recovery of Topological Zero Modes in Finite Non‐Hermitian Systems
Annalen der Physik, EarlyView.A generalized non‐Hermitian SSH model on a topolectrical circuit reveals size‐dependent topological zero modes. Non‐Hermiticity enables exact zero‐admittance edge states at a critical system size, tunable via asymmetric coupling and gain/loss. Large impedance peaks signal these modes, offering insights for designing robust topological devices with ...
S M Rafi‐Ul‐Islam +3 more
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PT Symmetry as a Generalization of Hermiticity
, 2010 The Hilbert space in PT-symmetric quantum mechanics is formulated as a linear vector space with a dynamic inner product. The most general PT-symmetric matrix Hamiltonians are constructed for 2*2 and 3*3 cases.
Ballentine L E +9 more
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Several matrix trace inequalities on Hermitian and skew-Hermitian matrices [PDF]
Journal of Inequalities and Applications, 2014 In this paper, we present several matrix trace inequalities on Hermitian and skew-Hermitian matrices, which play an important role in designing and analyzing interior-point methods (IPMs) for semidefinite optimization (SDO).
Julong Tan +3 more
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Asian Journal of Control, EarlyView.Abstract This paper focuses on the design of H∞$$ {H}_{\infty } $$ filtering for two‐dimensional (2‐D) continuous‐discrete Takagi–Sugeno (T–S) fuzzy systems. The frequency of disturbance input is assumed to be known and to reside in a finite frequency (FF) domain.
Abderrahim El‐Amrani +3 more
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W-representations of two-matrix models with infinite set of variables
Physics Letters B, 2023 The Hermitian, complex and fermionic two-matrix models with infinite set of variables are constructed. We show that these two-matrix models can be realized by the W-representations.
Lu-Yao Wang +3 more
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Idempotency of the Hermitian part of a complex matrix
Linear Algebra and its Applications, 1999 The paper characterizes matrices \(A\) with the Hermitian part, \(H(A)= (A + A^*)/2,\) being idempotent. It is shown that such matrices belong to the class of complex \(m\times m\) matrices for which \(A A^+ = A^+ A,\) where \(A^+\) is the Moore-Penrose inverse of \(A\), or equivalently, the range of \(A\) equals the range of \(A^*\).
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