نتایج جستجو برای: sylvester type matrix equation

تعداد نتایج: 1850700  

Journal: :Applied Mathematics and Computation 2007
Wei Li

All the conventional criterions to verify if a matrix is positive definite, Hurwitz or an M-matrix, such as Sylvester condition and Hurwitz theorem, require us to compute n determinants. This paper develops a new and simple criterion, based on a new type of Gaussian elimination process. In contrast to the traditional criterions, the new criterion only computes one determinate. Thus, the computi...

2000
A. Varga

By using a Sylvester equation based parametrization, the minimum norm robust pole assignment problem for linear time-invariant systems is formulated as an unconstrained minimization problem for a suitably chosen cost function. The derived explicit expression of the gradient of the cost function allows the efficient solution of the minimization problem by using powerful gradient search based min...

2017
Hamid Maarouf H. Maarouf

The singularity problem of the solutions of some particular Sylvester equations is studied. As a consequence of this study, a good choice of a Sylvester equation which is associated to a linear continuous time system can be made such that its solution is nonsingular. This solution is then used to solve an eigenstructure assignment problem for this system. From a practical point view, this study...

Journal: :Symmetry 2022

Using the ranks and Moore-Penrose inverses of involved matrices, in this paper we establish some necessary sufficient solvability conditions for a system Sylvester-type quaternion matrix equations, give an expression general solution to when it is solvable. As application system, consider special symmetry solution, named η-Hermitian equations. Moreover, present algorithm numerical example verif...

Journal: :Computers & Mathematics with Applications 2014
Peter Benner Patrick Kürschner

We investigate the factored ADI iteration for large and sparse Sylvester equations. A novel low-rank expression for the associated Sylvester residual is established which enables cheap computations of the residual norm along the iteration, and which yields a reformulated factored ADI iteration. The application to generalized Sylvester equations is considered as well. We also discuss the efficie...

Journal: :Linear Algebra and its Applications 2002

2015
FAEZEH TOUTOUNIAN

In this paper, We present the generalizations of the LSMR and NSCG methods for solving matrix equations. First, based on the LSMR algorithm, the Bl-LSMR and Gl-LSMR algorithms are derived by minimizing the Frobenius norm of residual matrix of normal equation. In addition, by extending the idea of LSMR algorithm, we also present the LSMR-M algorithm for solving the general coupled matrix equatio...

Journal: :Kybernetika 1996
Vassilis L. Syrmos Petr Zagalák

Reduced-order observer design has a long history spanning decades and involving various researchers in the control systems society. The first results on this problem were presented by Luenberger [1]. Thereafter, several papers have been presented examining the problems from different perspectives. One of these approaches is the Sylvester equation approach. This technique aeals mainly with the c...

2007
Guangren DUAN

Based on the well-known Leverrier algorithm, a simple explicit solution to right factofization of a linear system is established. This solution is expressed by the controllability matrix of the given system and a symmetric operator matrix. Applications of this solution to a type of generalized Sylvester matrix equations and the problem of parametric eigenstructure assignment by state feedback a...

Journal: :Int. J. Comput. Math. 2013
Fatemeh Panjeh Ali Beik Davod Khojasteh Salkuyeh

In this paper, we present an iterative algorithm for solving the following coupled Sylvester-transpose matrix equations q ∑ j=1 ( AijXjBij + CijX j Dij ) = Fi, i = 1, 2, . . . , p, over the generalized centro-symmetric matrix group (X1, X2, . . . , Xq). The solvability of the problem can be determined by the proposed algorithm, automatically. If the coupled Sylvester-transpose matrix equations ...

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