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SIAMMAX
2010
92views more  SIAMMAX 2010»
13 years 5 months ago
Solving a Structured Quadratic Eigenvalue Problem by a Structure-Preserving Doubling Algorithm
Abstract. In studying the vibration of fast trains, we encounter a palindromic quadratic eigenvalue problem (QEP) (2AT +Q+A)z = 0, where A, Q Cn
Chun-Hua Guo, Wen-Wei Lin
CORR
2011
Springer
215views Education» more  CORR 2011»
13 years 2 months ago
Lasserre Hierarchy, Higher Eigenvalues, and Approximation Schemes for Quadratic Integer Programming with PSD Objectives
We present an approximation scheme for optimizing certain Quadratic Integer Programming problems with positive semidefinite objective functions and global linear constraints. Thi...
Venkatesan Guruswami, Ali Kemal Sinop
DAGSTUHL
2007
14 years 10 days ago
From Algebraic Riccati equations to unilateral quadratic matrix equations: old and new algorithms
The problem of reducing an algebraic Riccati equation XCX − AX − XD + B = 0 to a unilateral quadratic matrix equation (UQME) of the kind PX2 + QX + R = 0 is analyzed. New redu...
Dario Andrea Bini, Beatrice Meini, Federico Poloni