On quadratic eigenvalue problems arising in stability of discrete vortices
نویسندگان
چکیده
Article history: Received 21 April 2008 Accepted 30 March 2009 Available online 9 May 2009 Submitted by R. Brualdi AMS classification: 15A22 37J25 47A75
منابع مشابه
Partial Eigenvalue Assignment in Discrete-time Descriptor Systems via Derivative State Feedback
A method for solving the descriptor discrete-time linear system is focused. For easily, it is converted to a standard discrete-time linear system by the definition of a derivative state feedback. Then partial eigenvalue assignment is used for obtaining state feedback and solving the standard system. In partial eigenvalue assignment, just a part of the open loop spectrum of the standard linear s...
متن کاملA structure-preserving doubling algorithm for quadratic eigenvalue problems arising from time-delay systems
We propose a structure-preserving doubling algorithm for a quadratic eigenvalue problem arising from the stability analysis of time-delay systems. We are particularly interested in the eigenvalues on the unit circle, which are difficult to compute. The convergence and backward error of the algorithm are analyzed and three numerical examples are presented. Our experience shows that the algorithm...
متن کاملEigenvalue Assignment Of Discrete-Time Linear Systems With State And Input Time-Delays
Time-delays are important components of many dynamical systems that describe coupling or interconnection between dynamics, propagation or transport phenomena, and heredity and competition in population dynamics. The stabilization with time delay in observation or control represents difficult mathematical challenges in the control of distributed parameter systems. It is well-known that the stabi...
متن کاملContributions to Parallel Algorithms for Sylvester-type Matrix Equations and Periodic Eigenvalue Reordering in Cyclic Matrix Products
This Licentiate Thesis contains contributions in two different subfields of Computing Science: parallel ScaLAPACK-style algorithms for Sylvester-type matrix equations and periodic eigenvalue reordering in a cyclic product of matrices. Sylvester-type matrix equations, like the continuous-time Sylvester equation AX −XB = C, where A of size m×m, B of size n×n and C of size m×n are general matrices...
متن کاملSome Unusual Matrix Eigenvalue Problems
We survey some unusual eigenvalue problems arising in different applications. We show that all these problems can be cast as problems of estimating quadratic forms. Numerical algorithms based on the well-known Gauss-type quadrature rules and Lanczos process are reviewed for computing these quadratic forms. These algorithms reference the matrix in question only through a matrix-vector product op...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2009