[PDF] Top 20 A FAST ALGORITHM FOR FAST TRAIN PALINDROMIC QUADRATIC EIGENVALUE PROBLEMS

... examining A, but it is its remaining 2k eigenvalues, usually nonzero and finite but with an extreme wide range in magnitude, that are of ...propose a fast algorithm along the line of the ... See full document

... of Fast Trains. In this section, we shall study resonance phenomena of a railway track under high frequent excitation ...of fast trains to illustrate the perfor- mance of proposed structured ... See full document

... This paper is organized as follows. The generalized structure-preserving doubling algorithm (g-SDA) is developed and analyzed in Sections 2 and 3. Application of the g-SDA to several generalized palindromic ... See full document

... of fast trains, as indicated by the amount of publicity for the associated palindromic eigen- value problem ...in a study in Germany [10,11], associated with the company SFE GmbH in ... See full document

... have a ‘symplectic’ property, that is, they are symmetrically placed with respect to the unit circle, containing both an eigenvalue λ and its reciprocal ...the train, all 2n eigenvalues and their ... See full document

... RRes for frequency ω = 50 and ω = 2000, ...terminated for Ω = 50, 6, 1 and 1 implicitly restarted steps have been used ...respectively. For Ω = 2000, one restart each has been made for all the ... See full document

... of fast trains arises the Quadratic Palindromic Eigenvalue Problem (QPEP) [1, 2, 3]: find a scalar λ and an n-dimensional vector x such that (A T 1 λ 2 + A 0 λ + A 1 ... See full document

... 0, A d − = εA   for  = 0, 1, ...attracting a great deal of attention lately because of its application in the fast train ...bounds for the structured backward errors ... See full document

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

... BY A STRUCTURE-PRESERVING DOUBLING ALGORITHM CHUN-HUA GUO † AND WEN-WEI LIN ‡ ...of fast trains, we encounter a palindromic quadratic eigen- value problem (QEP) (λ 2 A T + ... See full document

... SOLVING A STRUCTURED QUADRATIC EIGENVALUE PROBLEM BY A STRUCTURE-PRESERVING DOUBLING ALGORITHM ∗ CHUN-HUA GUO † AND WEN-WEI LIN ‡ ...of fast trains, we encounter a ... See full document

... optimization problems intend to seek the best way of placing a given set of rectangles within a minimum-area ...Such problems are often formulated as a quadratic mixed 0}1 ... See full document

... proposed a structured quadraticization to transform a (?, ε)-PPEP with the even degree into a (?, ...develop a structure-preserving algorithm for solving the transformed ... See full document

... of 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 ... See full document

... of a ?-PPEP contain both eigenvalues λ and 1/λ ? ...number for a nonzero simple eigenvalue of poly- nomial eigenvalue problem (PEP) have been investigated by Tisseur (Linear Algebra ... 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 ... See full document

... details. For general perturbation of eigenvalues for polynomial eigenvalue problems, see [1, ...results for general matrix polynomials, see the mas- terpiece ...of palindromic ... 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 ... 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 ... See full document

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