tridiagonal相关论文
In this paper, we present a unified approach to decomposing a special class of block tridiagonal matrices <i>K</i> (<i>......
In this paper,we discuss an inverse eigenvalue problem for constructing a 2n×2n Jacobi matrix T such that its 2n eigenv......
利用行列式和矩阵的基本性质,对方程系数矩阵进行改造,达到压缩降阶的效果,一个高阶矩阵通过降阶后可以变成两阶矩阵,从而可方便方程求......
针对一类典型的多变量耦合三对角工业系统,在研究(块)三对角矩阵计算的基础上,提出了一种新的三对角解耦算法。该算法关键在于构造两......
This paper aims at extending our previous work on the solution of the one-dimensional Dirac equation using the Tridiagon......
In a given linear, multistage, cascaded amplifier [1] comprising passive coupling circuits and active two-ports alternat......
In the current article we propose a new efficient, reliable and breakdown-free algorithm for solving general opposite-bo......
The current paper is mainly devoted to construct a generalized symbolic Thomas algorithm that will never fail. Two new e......
Parallelizing a Code for Counting and Computing Eigenvalues of Complex Tridiagonal Matrices and Root
A code developed recently by the authors, for counting and computing the eigenvalues of a complex tridiagonal matrix, as......
Numeric algorithms for solving the linear systems of tridiagonal type have already existed. The well-known Thomas algori......
This paper presents new numeric and symbolic algorithms for solving doubly bordered tridiagonal linear system. The propo......
A Conventional Approach for the Solution of the Fifth Order Boundary Value Problems Using Sixth Degr
In this communication we have used Bickley’s method for the construction of a sixth order spline function and apply it ......
A Conventional Approach for the Solution of the Fifth Order Boundary Value Problems Using Sixth Degr
In this communication we have used Bickley’s method for the construction of a sixth order spline function and apply it ......
One of the most important properties of M-matrices is element-wise non-negative of its inverse. In this paper, we consid......
A block representation of the BLU factorization for block tridiagonal matrices is presented. Some properties on the fact......
The Exact Formulation of the Inverse of the Tridiagonal Matrix for Solving the 1D Poisson Equation w
A new method for solving the 1D Poisson equation is presented using the finite difference method. This method is based o......
This paper establishes an improvement on the QL algorithm for a symmetric tridiagonal matrix T so that we can work out t......
Application and Generalization of Eigenvalues Perturbation Bounds for Hermitian Block Tridiagonal Ma
The paper contains two parts. First, by applying the results about the eigenvalue perturbation bounds for Hermitian bloc......
Semi-Analytical Solution of the 1D Helmholtz Equation, Obtained from Inversion of Symmetric Tridiago
An interesting semi-analytic solution is given for the Helmholtz equation. This solution is obtained from a rigorous dis......
A hybrid method is presented for determining maximal eigenvalue and its eigenvector(called eigenpair)of a large,dense,sy......