On the connection between second-order differential equations and quadratic eigenvalue problem and their spectrum
Küçük Resim Yok
Tarih
2010
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amer Inst Physics
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper we consider the solution of a linear second-order differantial equation Ay '' + By' + Cy = f(t) where A, B, and C are n x n Toeplitz matrices with sign changes real entries and y(t) is an nth-ordei vector. We show that the solution can be expressed in terms of the eigensolution of the corresponding Quadratic Eigenvalue Problem (QEP) and explain why eigenvalues and eigenvectors give useful information. Also we give some examples for Quadratic Polynomials (quadratic matrix polynomial) and their epsilon - pseudospectra. Computed examples of pseudo-spectra an presented throughout, with using Mathematica, and applications in numerical analysis are mentioned.
Açıklama
International Conference on Mathematical Sciences -- NOV 23-27, 2010 -- Abant Izzet Baysal Univ, Bolu, TURKEY
Anahtar Kelimeler
Quadratic Eigenvalue Problem, Eigenvalue, Eigenvector, Matrix Polynomial, Second-order Differantiol Equation, Spectrum, Epsilon - Pseudospectrum
Kaynak
Icms: International Conference On Mathematical Science
WoS Q Değeri
N/A
Scopus Q Değeri
N/A
Cilt
1309
