[PDF] Top 20 Residual Arnoldi Method for solving large eigenvalue problems

... allows errors in the computation, and can work on an appropriate initial subspace. • With shift-invert enhancement, residual Arnoldi[r] ... See full document

... SGA method for solving the QEPs, we discuss how to take advantage of the SGA algorithm to efficiently generate the coefficient matrices (M m , D m , K m ) of the projected QEP .... For the ... See full document

... SGA method for solving the QEPs, we discuss how to take advantage of the SGA algorithm to efficiently generate the coefficient matrices .... For the projected matrix K m , even if the SGA ... See full document

... Þ for k ¼ 1; ...the eigenvalue l of Kz ¼ l N z is far away from the shift value s þ 1= s when k is close to the ...traditional Arnoldi method. In fact, only two restarting steps are needed ... See full document

... quadratic eigenvalue problems (TPQEP) arising from modeling leaky surface waves propagation in a acoustic resonator with in- finitely many periodically arranged interdigital ...element method with ... See full document

... We now try to explain the different accuracies of the algorithms. One important reason may be that Algorithms 5.1 and 5.2 need to solve a linear system in the extrac- tion method of eigenvectors, while Algorithm ... See full document

... methods for computing damped vibration modes of an acoustic fluid confined in a cavity with absorbing walls capable of dissipating acoustic ...eigenmodes for such discretization and also confirms that the ... See full document

... QEPs problems [26], REPs are much less studied ...ical method introduced ...nonlinear eigenvalue problem into a standard one by some sort of linearization ...the Arnoldi type algorithms to ... See full document

... Structure-Preserving Arnoldi Methods (ISPAM) for solving Hermitian and skew-Hermitian eigenvalue problems, by which the solutions can preserve the desirable numerical properties as ... See full document

... TECHNIQUE FOR SOLVING QUADRATIC EIGENVALUE PROBLEMS MOODY ...algorithms for solving large-scale quadratic eigen- value problems for which a set of ... See full document

... to large-scale nonlinear eigenvalue problems, which are very challenging due to a high-dimensional subspace associated with the eigen- value zero and the fact that the desired eigenvalues (with ... See full document

... 1 Introduction We consider a quadratic eigenvalue problem (QEP) Q(λ)x ≡ (λ 2 B + λC + A)x = 0, (1) where A, B, C ∈ C n×n , λ ∈ C, x 6= 0 ∈ C n . Many QEPs from a variety of applications have extra structure that ... See full document

... Adomian’s method solves nonlinear differential equations with ...The method has been widely applied to various domains in science and engineering, but is less popular in ...decomposition method 共ADM兲 ... See full document

... quadratic eigenvalue problems (QEPs) is proposed by Friswell, Inman and Pilkey 1998, to incorporate the measured model data into the finite element model to produce an adjusted finite element model on the ... See full document

... In this paper, we continue our paper [7] to develop an efficient numerical algorithm for the finite element model updating of quadratic eigenvalue problems (QEPs). This model updating of QEPs is ... See full document

... an eigenvalue shifting technique to modify the original gyroscopic system to a new gyroscopic system, which changes the eigenvalues on the imaginary axis to eigenvalues with nonzero real parts, while keeps other ... See full document

... The proposed method, however, uses a smaller number of variables to reach the optimal solution. Conclusions[r] ... See full document

... meshless method to solve the Laplace problems for arbitrary domains subject to the Dirichlet, Neumann and mixed-type ...terms for the influence matrices have been extracted out by the proposed ... See full document

... The use of a preconditioner is natural if we treat an eigenvalue problem (both linear and nonlinear) as. a nonlinear system of equations[r] ... See full document

... semi-analytic method for solving optical rib-type waveguide problems is ...the method, the cross-section of a rib-type waveguide is divided into several ...derived for each ... See full document