Palindromic eigenvalue problems: A brief survey

DOI10.11650/twjm/1500405865zbMath1198.65066OpenAlexW1805200046MaRDI QIDQ987865

Tsung-Ming Huang, Wen-Wei Lin, Chin-Tien Wu, Eric King-Wah Chu

Publication date: 2 September 2010

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/twjm/1500405865

zbMATH Keywords

eigenvalueeigenvectorsurvey papercrackmatrix polynomialCrawford numberPalindromic eigenvalue problemSAW filtertrain vibration

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Systems arising from the discretization of structural vibration problems (70J50)

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On the Sylvester-like matrix equation \(AX+f(X)B=C\) ⋮ A note on Sylvester-type equations ⋮ Solving large-scale nonlinear matrix equations by doubling ⋮ On the first degree Fejér-Riesz factorization and its applications to \(X+A^{\ast}X^{-1}A=Q\) ⋮ Computing the full spectrum of large sparse palindromic quadratic eigenvalue problems arising from surface Green's function calculations ⋮ Updating \(\star \)-palindromic quadratic systems with no spill-over ⋮ On inverse eigenvalue problems of quadratic palindromic systems with partially prescribed eigenstructure ⋮ Solving two generalized nonlinear matrix equations

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