نتایج جستجو برای: Eigenvalue equations

تعداد نتایج: 254318  

M Nikuei M.K. Mirnia

The index of matrix A in Cn.n is equivalent to the dimension of largest Jor-dan block corresponding to the zero eigenvalue of A. In this paper, indicialequations and normal equations for solving inconsistent singular linear systemof equations are investigated.

Journal: :نظریه تقریب و کاربرد های آن 0
m nikuei young researchers club, tabriz branch, islamic azad university, tabriz, iran. m.k. mirnia department of computer engineering, tabriz branch, islamic azad university, tabriz, iran.

the index of matrix a in cn.n is equivalent to the dimension of largest jor-dan block corresponding to the zero eigenvalue of a. in this paper, indicialequations and normal equations for solving inconsistent singular linear systemof equations are investigated.

2006
Gabriele Ricci

ing d = f · b. Conversely, if this homomorphic condition holds everywhere, then apply b to both its sides, observe that Cχb = iA and by abstracting c get h = Cχa with a = h · b. Q.D.E. 5.8 Definitions. Keep the notation of 5.4 and let B be the set of bases of α with index X. Consider a family k: B → F(FXA)C, for some C, and a b ∈ B. If for all b′ ∈ B and M :X → A (43) kbM = kb′(M ◦ b′) , then w...

2013
HOWARD C. ELMAN MINGHAO W. ROSTAMI

Linear stability analysis of a dynamical system entails finding the rightmost eigenvalue for a series of eigenvalue problems. For large-scale systems, it is known that conventional iterative eigenvalue solvers are not reliable for computing this eigenvalue. A more robust method recently developed in Elman & Wu (2012) and Meerbergen & Spence (2010), Lyapunov inverse iteraiton, involves solving l...

Journal: :Math. Comput. 2001
Jinchao Xu Aihui Zhou

A two-grid discretization scheme is proposed for solving eigenvalue problems, including both partial differential equations and integral equations. With this new scheme, the solution of an eigenvalue problem on a fine grid is reduced to the solution of an eigenvalue problem on a much coarser grid, and the solution of a linear algebraic system on the fine grid and the resulting solution still ma...

Journal: :Journal of Mathematical Physics 1989

In this study, vibration of initially imperfect cracked thick plate has been investigated using the differential quadrature method. The crack modeled as an open crack using a no-mass linear spring. The governing equations of vibration of a cracked plate are derived using the Mindlin theory and considering the effect of initial imperfection in Von-Karman equations. Differential equations are dis...

2014
Sandile S. Motsa Precious Sibanda Zoran Gajic

We present a novel application of the successive linearisation method to the classical Van der Pol and Duffing oscillator equations. By recasting the governing equations as nonlinear eigenvalue problems we obtain accurate values of the frequency and amplitude. We demonstrate that the proposed method can be used to obtain the limit cycle and bifurcation diagrams of the governing equations. Compa...

Journal: :SIAM J. Matrix Analysis Applications 2002
Michiel E. Hochstenbach Bor Plestenjak

We present a new numerical iterative method for computing selected eigenpairs of a right definite two-parameter eigenvalue problem. The method works even without good initial approximations and is able to tackle large problems that are too expensive for existing methods. The new method is similar to the Jacobi–Davidson method for the eigenvalue problem. In each step, we first compute Ritz pairs...

2005
Robert Granat

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...

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