An Algorithm for Solving Inverse Eigenproblem of Generalized Periodic Jacobi Matrices

机译：广义周期Jacobi矩阵逆特征值的求解算法

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摘要

This paper deals the reconstruction of generalized periodic Jacobi matrices from eigen-pairs of the matrix and its largest leading principal matrix. The expression and an algorithm of the solution of the problem is given, and a numerical example is provided.

机译：本文讨论了从矩阵及其最大前导主矩阵的特征对重建广义周期Jacobi矩阵的方法。给出了解决问题的表达式和算法，并提供了数值示例。

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《Computer Science and Computational Technology, ISCSCT, 2008 International Symposium on》||P.84-87|共4页
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作者
Xiao-ying Sun; Zhi-bin Li; Xin-xin Zhao;
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中图分类工业技术;
关键词
Algorithm; Characteristic value inverse problem; Generalized periodic Jacobi matrix;

机译：算法;特征值反问题;广义周期Jacobi矩阵;

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1. The solvability conditions for the inverse eigenproblems of symmetric and generalized centro-symmetric matrices and their approximations [J] . Xie DX, Hu XY, Sheng YP Linear Algebra and its Applications . 2006,第1期

机译：对称和广义中心对称矩阵反特征问题的可解条件及其逼近
2. Inverse problems for periodic generalized Jacobi matrices [J] . Derevyagin M. Journal of Mathematical Analysis and Applications . 2011,第2期

机译：周期广义Jacobi矩阵的逆问题
3. Some Algorithms for Solving Third-Order Boundary Value Problems Using Novel Operational Matrices of Generalized Jacobi Polynomials [J] . W. M.Abd-Elhameed Abstract and applied analysis . 2015,第8期

机译：使用广义Jacobi多项式的新运算矩阵来求解三阶边值问题的一些算法
4. An Algorithm for Solving Inverse Eigenproblem of Generalized Periodic Jacobi Matrices [C] . Xiao-ying Sun, Zhi-bin Li, Xin-xin Zhao International Symposium on Computer science and Computational Technology . 2008

机译：一种求解广义周期性族族矩阵逆egenProbl的算法
5. Quaternions and the eigenproblem: A new Jacobi algorithm and its convergence. [D] . Mackey, Niloufer. 1995

机译：四元数和本征问题：一种新的Jacobi算法及其收敛性。
6. New algorithms for solving third- and fifth-order two point boundary value problems based on nonsymmetric generalized Jacobi Petrov–Galerkin method [O] . E.H. Doha, W.M. Abd-Elhameed, Y.H. Youssri 2015

机译：基于非对称广义Jacobi Petrov-Galerkin方法求解三阶和五阶两点边值问题的新算法
7. The Inverse Eigenproblem for Complementary Submatrix of Generalized Jacobi Matrices [O] . Zhi-Bin Li, Yun-Fei Wang 2017

机译：互补jacobi矩阵互补子矩阵的逆egenprobl

An Algorithm for Solving Inverse Eigenproblem of Generalized Periodic Jacobi Matrices

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