[PDF] Top 20 Structured doubling algorithms for solving g-palindromic quadratic eigenvalue problems

... 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 ...the palindromic QEP with the property that reversing the order of the ... See full document

... proposed structured algorithms in Sections ...procedure for designing an optimal ERS are proposed by ...frequency for such ...use structured algorithms to solve the ... 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 interdigital ... See full document

... the transpose of (1.1), we can easily see that the eigenvalues of (1.1) have a ‘symplectic’ property, that is, they are symmetrically placed with respect to the unit circle, containing both an eigenvalue λ and its ... See full document

... RRes for frequency ω = 50 and ω = 2000, ...three algorithms, but the accuracy of the eigenpairs computed by Algorithm ...two algorithms. When Algorithms 5.1, 5.2 and 5.3 are terminated ... See full document

... 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 )x = 0, ... See full document

... and palindromic approaches to dis- crete-time control ...trains, palindromic eigenvalue problems and structure-preserving doubling ...of structured linear ... See full document

... data for the reduced ...structure-preserving doubling algorithm to compute the stabilizing solution of the matrix equation X + A T X −1 A = Q, whose existence is guaranteed by a result on the Wiener–Hopf ... See full document

... data for the reduced ...structure-preserving doubling algorithm to compute the stabilizing solution of the ma- trix equation X + A T X −1 A = Q, whose existence is guaranteed by a result on the Wiener–Hopf ... See full document

... 1 Introduction Railway travel was the first form of mass transport. After World War II, im- provements in automobiles, highways and aircrafts made them practical for a greater portion of the population, especially ... See full document

... eigenpairs for the original fast train PQEP. The so-called α-structured backward error analysis that preserves all possible structures in the fast train PQEP to the extreme is ... See full document

... a structured quadraticization to transform a (?, ε)-PPEP with the even degree into a (?, ...algorithm for solving the transformed ...balance for PPEPs in Section 4 and 5, ... See full document

... algorithm for solving the ε ...3. For the PCP_PQEP arisen from the stability analysis of TDSs, we develop a deflation technique for finding all unimodular eigenvalues in Section ...A ... See full document

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

... From the fact that e > K = 0, and Ke = 0, the condition of Case (1) in The- orem 2.2 holds. Therefore, H has two zero eigenvalue with quadratic divisor. Theorem 3.2 shows that the SDA algorithm converges ... See full document

... number for a nonzero simple eigenvalue of poly- nomial eigenvalue problem (PEP) have been investigated by Tisseur (Linear Algebra ...bers for λ and 1/λ ? of ?-PPEP are ...the eigenvalue ... 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

... polynomials, palindromic linearizations, the anti-triangular canonical form [16–18] and the semi-Schur anti-triangular canonical form is investigated by means of the Bauer–Fike technique for perturbations ... 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

... 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