However, if the system is inconsistent, we also derive a perturbation bound of the generalized linear least squares solution. Our treatment extends a classical perturbation result in numerical linear algebra.Jieyong Zhou and Yiming WeiApplied Mathematics and Computation...
singular linear systemsindex of a matrixM–splittingsmulti‐splittingsQ–matricesMarkov chainsGiven a singular M –matrix of a linear system, convergent conditions under which iterative schemes based on M –multisplittings are studied. Two of those conditions, the index of the iteration matrix a...
sources for the Singular computer algebra system C++268119 LELALELAPublic Library for exact linear algebra, a C++ template-library based originally on LinBox intended for F4-like implementations C++1612 singular.github.comsingular.github.comPublic ...
Singular System - A Tutorial This paper presents an overview of the theory of singular systems. Conditions for existence and uniqueness of solutions are presented along with techniques... JB Burl - Conference on Circuits 被引量: 0发表: 2002年 [IEEE Nineteeth Asilomar Conference on Circuits, Sys...
Using elementary linear algebra and the equivalence principle, singular LQ problem for a class of singular systems with time delay is discussed and the relationship between the problem and the singular or nonsingular LQ problem for standard systems with delayed state is obtained. Under some general ...
SVD also approximate the solution of non-homonegeous linear system such that the norm is minimum. This is the basis of least square, orthogonal projection and regression analysis. SVD also solve homogeneous linear system by taking the column of which represent the eigenvector corresponding to the...
Editors: Liyi Dai Part of the book series:Lecture Notes in Control and Information Sciences(LNCIS, volume 118) 6727Accesses About this book This monograph is sums up the development of singular system theory and provides the control circle with a systematic theory of the system. It focuses on...
linear systemsrobust controlstability/ linear discrete singular system stabilitylinear matrix inequality/ C1340D Discrete control systems C1340J Distributed parameter control systems C4140 Linear algebra (numerical analysis) C1320 Stability in control theory...
AlgebraLinear control systemsControl system analysis and synthesis methodsStability in control theoryNonlinear control systemsIn this paper, the linear functional state bounding problem, which is considered in [25], is extended to the singular system with unbounded delay. Firstly, some conditions are ...
In this paper we used the Computer Algebra system Mathematica to present a purely numerical problem. In general, the use of Computer Algebra systems has greatly influenced the teaching of mathematics, allowing students to concentrate on the main ideas and to visualize them. 展开 关键词:...