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Numerical Study of Three-parameter Matrix Eigenvalue Problem by Rayleigh Quotient Method

机译:瑞利商法三参数矩阵特征值问题的数值研究

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In this paper, an attempt is done to find approximate eigenvalues and the corresponding eigenvectors of three-parameter matrix eigenvalue problem by extending Rayleigh Quotient Iteration Method (RQIM), which is generally used to solve generalized eigenvalue problems of the form Ax = λBx. Convergence criteria of RQIM will be derived in terms of matrix 2-norm. We will test the computational efficiency of the Method analytically with the help of numerical examples. All calculations are done in MATLAB software.
机译:在本文中,通过延伸瑞利商迭代方法(RQIM)找到三个参数矩阵特征值问题的近似特征值和相应的特征向量,这通常用于解决形式Ax =λbx的广义特征值问题。 RQIM的收敛标准将以矩阵2-Norm导出。我们将在数值例子的帮助下分析方法的计算效率。所有计算都在Matlab软件中完成。

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