[PDF] Top 20 On the Inexact Structure-Preserving Arnoldi Methods for Hermitian and Skew-Hermitian Eigenvalue Problems

... study the Inexact Structure-Preserving Arnoldi Methods (ISPAM) for solving Hermitian and skew-Hermitian eigenvalue problems, by ... See full document

... (a) and (b) of Figure 6.4, we show those RRes for frequency ω = 50 and ω = 2000, ...respectively. The notations “◦”, “∆” and “×” denote the results computed by Algorithms ...5.2 ... See full document

... compute the five reciprocal pairs ðk k;I ; k k;O Þ for k ¼ 1; . . . ; 5 and takes a shift value s ¼ ...2:89. The eigenvalues in OðkÞ are closer to s than the eigenvalues k 5;I ... See full document

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

... illustrate the relations between various structured PEPs in Figure ...T-anti-palindromic and T-palindromic PEPs with even degree can be reduced to ...Thus, the structure-preserving ... See full document

... Model for Vibration of Fast Trains We shall study the resonance phenomena of the track under high frequent excitation ...to the safety of the operations of high-speed trains but also ... See full document

... rational eigenvalue problem, trimmed linearization, Arnoldi algorithm ...Efficient and correct computation of the damped vibration modes generated by an inviscid, com- pressible, barotropic ... See full document

... literature on QEPs problems [26], REPs are much less studied ...Although on the surface the rational R(k)p = 0 could be turned into a cubic one by multiplying out the ... See full document

... quadratic eigenvalue problem Structure-preserving a b s t r a c t We study the generalized eigenvalue problems (GEPs) derived from modeling the surface acoustic wave in ... See full document

... study the generalized eigenvalue problems (GEPs) derived from modeling the surface acoustic wave in piezoelectric materials with periodic ...inhomogenuity. The eigenvalues appear in ... See full document

... block-rows and columns. Also H 0 is complex symmetric, i.e., H 0 T = H 0 . For future references, we will call PQEP ...Mehl, and Mehrmann [10, ...0 and ∞ and in fact, by examining A, we ... See full document

... propose structure-preserving algorithms for the computation of Hermitian solutions of continuous/discrete-time alge- braic Riccati ...imaging and unimodular eigenvalues (if any) ... See full document

... that the eigenvalues of ...to the unit circle, containing both an eigenvalue λ and its reciprocal ...optimize the design of the rail and the train, all 2n ... See full document

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

... with the computation of a few eigenpairs with smallest eigenvalues in absolute value of quadratic eigenvalue ...generalized Arnoldi method where the name comes from the application of a ... See full document

... from the NLEVP [27]. In the following discussions, we describe each example and the choice of parameters for generating the coefficient matrices of corresponding ...IRSGA ... See full document

... Unimodular eigenvalue a b s t r a c t We propose a structure-preserving doubling algorithm for a quadratic eigenvalue problem arising from the stability analysis of time-delay ... See full document

... method for computing successive eigenpairs is developed and ...preconditioners and locking and restarting techniques on these methods are also provided to yield better ... See full document

... type methods are proposed for computing interior eigenpairs of large-scale cubic eigenvalue ...compute the eigenpairs, a novel explicit non-equivalence deflation method with low-rank updates ... See full document

... Compute eigenvalues of ψ(A) instead; Cluster or interior eigenvalues of A. becomes dominant and well separated eigenvalues of ψ(A) ;[r] ... See full document