scholarly journals On relative oscillation theory for symplectic eigenvalue problems

2010 ◽  
Vol 23 (10) ◽  
pp. 1231-1237 ◽  
Author(s):  
Julia Elyseeva
Keyword(s):  
Eigenvalue Problems ◽  
Oscillation Theory ◽  
Symplectic Eigenvalue ◽  
Relative Oscillation ◽  
Relative Oscillation Theory

Backward Error Analysis for Eigenproblems Involving Conjugate Symplectic Matrices

2015 ◽  
Vol 5 (4) ◽  
pp. 312-326 ◽  
Author(s):  
Wei-wei Xu ◽  
Wen Li ◽  
Xiao-qing Jin
Keyword(s):  
Optimal Control Problems ◽  
Eigenvalue Problems ◽  
Backward Error Analysis ◽  
Linear Quadratic ◽  
Backward Error ◽  
Linear Quadratic Optimal Control ◽  
Quadratic Optimal Control ◽  
Symplectic Eigenvalue ◽  
Backward Errors ◽  
Symplectic Matrices

AbstractConjugate symplectic eigenvalue problems arise in solving discrete linear-quadratic optimal control problems and discrete algebraic Riccati equations. In this article, backward errors of approximate pairs of conjugate symplectic matrices are obtained from their properties. Several numerical examples are given to illustrate the results.

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