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Discussion about the Bisection of Solving Symmetric Tridiagonal Matrix Eigenvalue

Zhimei Yang

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Abstract

In this paper,a special symmetric tridiagonal matrix is studied.Although the order of its matrix array master does not satisfy the strictly intertwined condition,it is proved that the bisection still can be used to solve its eigenvalues.

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What this paper is about

In this paper,a special symmetric tridiagonal matrix is studied.Although the order of its matrix array master does not satisfy the strictly intertwined condition,it is proved that the bisection still can be used to solve its eigenvalues.

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Available abstract

In this paper,a special symmetric tridiagonal matrix is studied.Although the order of its matrix array master does not satisfy the strictly intertwined condition,it is proved that the bisection still can be used to solve its eigenvalues.

Key concepts: Tridiagonal matrix, Bisection, Bisection method, Eigenvalues and eigenvectors, Mathematics, Matrix (chemical analysis), Matrix splitting, Symmetric matrix

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