Weighted FOM-inverse vector iteration method for computing a few smallest (largest) eigenvalues of pair (A,B)

Najafi, H. Saberi; Refahi, Amirhossein; Akbari, M.

doi:10.1016/j.amc.2007.03.004

Cited by 3 publications

(1 citation statement)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Among these methods, the iterative methods are used to generate a subspace that contains the desired eigenvectors. Techniques based on the Krylov subspaces are powerful tools for building desired subspaces for large-scale eigenvalue problems [9][10][11]. Expressed methods in this article find all of the zeros that lie in a circle using numerical integration.…”

Section: Introductionmentioning

confidence: 99%

A New Algorithm for Solving Large-Scale Generalized Eigenvalue Problem Based on Projection Methods

Nedamani

Sheikhani

Najafi

2020

Mathematical Problems in Engineering

Self Cite

View full text Add to dashboard Cite

In this paper, we consider four methods for determining certain eigenvalues and corresponding eigenvectors of large-scale generalized eigenvalue problems which are located in a certain region. In these methods, a small pencil that contains only the desired eigenvalue is derived using moments that have obtained via numerical integration. Our purpose is to improve the numerical stability of the moment-based method and compare its stability with three other methods. Numerical examples show that the block version of the moment-based (SS) method with the Rayleigh–Ritz procedure has higher numerical stability than respect to other methods.

show abstract

Section: Introductionmentioning

confidence: 99%

A New Algorithm for Solving Large-Scale Generalized Eigenvalue Problem Based on Projection Methods

Nedamani

Sheikhani

Najafi

2020

Mathematical Problems in Engineering

Self Cite

View full text Add to dashboard Cite

show abstract

Stability Analysis of Distributed-Order Hilfer–Prabhakar Systems Based on Inertia Theory

2018

View full text Add to dashboard Cite

Stability Analysis of Distributed Order Fractional Differential Equations

Najafi

Sheikhani

Ansari

2011

Abstract and Applied Analysis

Self Cite

View full text Add to dashboard Cite

We analyze the stability of three classes of distributed order fractional differential equations (DOFDEs) with respect to the nonnegative density function. In this sense, we discover a robust stability condition for these systems based on characteristic function and new inertia concept of a matrix with respect to the density function. Moreover, we check the stability of a distributed order fractional WINDMI system to illustrate the validity of proposed procedure.

show abstract

Weighted FOM-inverse vector iteration method for computing a few smallest (largest) eigenvalues of pair (A,B)

Cited by 3 publications

References 10 publications

A New Algorithm for Solving Large-Scale Generalized Eigenvalue Problem Based on Projection Methods

A New Algorithm for Solving Large-Scale Generalized Eigenvalue Problem Based on Projection Methods

Stability Analysis of Distributed-Order Hilfer–Prabhakar Systems Based on Inertia Theory

Stability Analysis of Distributed Order Fractional Differential Equations

Contact Info

Product

Resources

About