non-hermitian linear system
On Shift-splitting Based C-to-R Method for Singular Complex Linear Systems
... complex linear systems, based on the shift-splitting (SS) strategy for the non-Hermitian positive definite matrices [ 7 ] and by making use of the efficient C- to-R method for nonsingular two-by-two ...
5
Accelerated normal and skew-Hermitian splitting methods for positive definite linear systems
... or non-Hermitian) the AHSS iteration converges to the unique solution of linear system (1) with any given nonnegative α, if β is restricted to an appropriate ...
14
A splitting method for shifted skew Hermitian linear system
... a non-Hermitian positive definite matrix ...the Hermitian and skew-Hermitian splitting (HSS) method and the positive-definite and skew-Hermitian splitting (PSS) method are presented for ...
11
Non-Hermitian Hamiltonians of Lie algebraic type
... the system and the latter referring to a situation in which the spectra can be determined ...pseudo- Hermitian or more precisely, and more useful, to quasi-Hermitian Hamiltonian ...consider ...
28
Convergence on successive over relaxed iterative methods for non Hermitian positive definite linear systems
... sparse non-Hermitian positive definite matrix, that is, its Hermitian part H = (A + A ∗ )/ is Hermitian positive definite, where A ∗ denotes the conjugate transpose of a matrix ...solve ...
9
E2-quasi-exact solvability for non-Hermitian models
... Abstract: We propose the notion of E 2 -quasi-exact solvability and apply this idea to find explicit solutions to the eigenvalue problem for a non-Hermitian Hamiltonian system depending on two ...
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Non-Hermitian quantum and classical integrated nonlinear photonics
... In Sec. 4.1 we describe photon-pair generation through spontaneous para- metric down-conversion (SPDC) in quadratic nonlinear waveguide array with different linear absorption in all waveguides. Direct coincidence ...
117
Non Hermitian topological states in photonic systems
... First I consider numerical simulations of a chain of 300 coupled resonators. Start- ing from the Hermitian line A/W = B/W = 1 in figure 2.2 and looking at the interval 1 < B < 4.5, a cut is performed through ...
143
Non-Linear Electromechanical System Dynamics
... but non-linearly coupled subsystems is carried out using appropriate mathematical ...electrical system (RLC circuit) is evidently band-pass operating near resonant frequency while the mechanical ...
75
Light neutrino masses from a non Hermitian Yukawa theory
... of non-Hermitian terms on neutrino oscillations in matter have also been considered ...by non-Hermitian effective Hamiltonians, this suggests to consider possible modifications of the neutrino ...
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K hermitian doubly stochastic, s hermitian doubly stochastic and s k hermitian doubly stochastic matrices
... Proof: Let A and B are s-Hermitian doubly stochastic matrix if ̅ = V A* V and = V B* V . Since A*and B*are also s-Hermitian doubly stochastic matrices then A* = V ̅ V and B* = V V To prove A B is ...
5
The Real and Complex Hermitian Solutions to a System of Quaternion Matrix Equations with Applications
... general Hermitian solutions to them by generalized inverses when the solvability conditions were ...with Hermitian solutions appears in some application areas, such as vibration theory, statistics, and ...
20
Foldy-Wouthuysen transformation for non-Hermitian Hamiltonians
... Two Non-Hermitian fermion models are proposed and analyzed by using Foldy- Wouthuysen transformations. One model has Lorentz symmetry breaking and the other has a non-Hermitian mass term. It ...
8
Convergence of Relaxed Hermitian and Skew hermitian Splitting Method
... In this paper, we present the relaxed Hermitian and skew-Hermitian (RHSS) splitting method and analyze the convergence of our method. When choosing the various parameters, the spectral radii of the ...
7
A new non-Hermitian E2-quasi-exactly solvable model
... model whose eigenfunctions involve weakly orthogonal polynomials obeying three-term recurrence relations that factorize beyond the quantization level. The model becomes Hermitian when one of its two parameters is ...
9
Non Linear Analysis of Vibrations of Non Linear System Subjected to Multi Excitation Forces via a Non Linear Absorber
... The dynamic response of mechanical and civil structures subjected to high-amplitude vibration is often dangerous and undesirable. Sometimes controlled vibration is desirable as in the machinery used in the formation of ...
9
The quantum brachistochrone problem for non-Hermitian Hamiltonians
... to non- Hermitian Hamiltonians which are PT -symmetric, that is those with real ...-symmetric non-Hermitian Hamiltonians, namely that the passage time can be made arbitrarily small also for ...
9
Symmetries and conservation laws in non Hermitian field theories
... corresponds to a transformation under which the Lagrangian is not invariant. Moreover, we find that this transformation reflects the well-known interpretation of PT -symmetric theories in terms of coupled systems with ...
20
Non Hermitian defect states from lifetime differences
... finite system of coupled circular resonators perturbed by nanoparticles, following the concept of creating an interface by inverting the position of the nanoparticles in half of the ...
8
Non Hermitian Matrix Quasi Exactly Solvable Hamiltonian
... A new example of PT -symmetric quasi-exactly solvable (QES) 2 2 × -matrix Hamiltonian which is associated to a trigonometric Razhavi potential is con- sidered. Like the QES analytic method considered in the Ref. [1] [2], ...
11