نتایج جستجو برای: singular systems

تعداد نتایج: 1230612  

Journal: :Applied Mathematics and Computation 2008
Guangxi Cao Yongzhong Song

Keywords: Additive/multiplicative splitting iteration method Singular linear systems Hermitian matrix Semiconvergence a b s t r a c t In this paper, we investigate the additive, multiplicative and general splitting iteration methods for solving singular linear systems. When the coefficient matrix is Hermitian, the semiconvergence conditions are proposed, which generalize some results of Bai [Z....

Journal: :bulletin of the iranian mathematical society 2016
d. chen y. zhang

‎this paper presents two main results that the singular values of the hadamard product of normal matrices $a_i$ are weakly log-majorized by the singular values of the hadamard product of $|a_{i}|$ and the singular values of the sum of normal matrices $a_i$ are weakly log-majorized by the singular values of the sum of $|a_{i}|$‎. ‎some applications to these inequalities are also given‎. ‎in addi...

Journal: :bulletin of the iranian mathematical society 2011
b. babayar-razlighi k. ivaz m. r. mokhtarzadeh

we develop and apply the product integration method to a large class of linear weakly singular volterra systems. we show that under certain sufficient conditions this method converges. numerical implementation of the method is illustrated by a benchmark problem originated from heat conduction.

In this paper, a special technique is studied by using the orthogonal Chebyshev polynomials to get approximate solutions for singular and hyper-singular integral equations of the first kind. A singular integral equation is converted to a system of algebraic equations based on using special properties of Chebyshev series. The error bounds are also stated for the regular part of approximate solut...

2015
M. ISABEL GARCÍA-PLANAS Jinhuan Wang Daizhan Cheng Xiaoming Hu

There is much literature about the study of the consensus problem in the case where the dynamics of the agents are linear systems, but the problem is still open for the case where the dynamic of the agents are singular linear systems. In this paper the consensus problem for singular multi-agent systems is considered, in which all agents have an identical linear dynamic mode that can be of any o...

Journal: :SIAM J. Numerical Analysis 2014
Nan Li Lihong Zhi

In this paper, we generalize the algorithm described by Rump and Graillat, as well as our previous work on certifying breadth-one singular solutions of polynomial systems, to compute verified and narrow error bounds such that a slightly perturbed system is guaranteed to possess an isolated singular solution within the computed bounds. Our new verification method is based on deflation techniques...

2003
TADEUSZ KACZOREK

The paper consists of two parts. In the first part, new canonical forms are defined for singular 1D linear systems and a procedure to determine nonsingular matrices transforming matrices of singular systems to their canonical forms is derived. In the second part new canonical forms of matrices of the singular 2D Roesser model are defined and a procedure for determining realisations in canonical...

Journal: :Numerical Lin. Alg. with Applic. 1994
Daniel B. Szyld

where T = M-'N. In this article we consider solutions of (1.1) where A is a singular operator and f is such that a solution exists, i.e., consistent singular systems. Singular systems of linear equations appear in many applications, such as when computing the stationary probability distributions of Markov chains [9] or Markov processes [2 ] . These particular applications appear in the analysis...

Journal: :Applied Mathematics and Computer Science 2011
Tadeusz Kaczorek

A new class of singular fractional linear systems and electrical circuits is introduced. Using the Caputo definition of the fractional derivative, the Weierstrass regular pencil decomposition and the Laplace transformation, the solution to the state equation of singular fractional linear systems is derived. It is shown that every electrical circuit is a singular fractional system if it contains...

نمودار تعداد نتایج جستجو در هر سال

با کلیک روی نمودار نتایج را به سال انتشار فیلتر کنید