A note on constructing a symmetric matrix with specified diagonal entries and eigenvalues

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1995 English Publisher:Springer Science and Business Media LLCJournal:BIT Numerical Mathematics, volume 35, pages 448-452 (issn: 0006-3835, eissn: 1572-9125,

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Authors: Zha, Hongyuan; Zhang, Zhenyue;

doi: 10.1007/bf01732616

A note on constructing a symmetric matrix with specified diagonal entries and eigenvalues

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Abstract

The paper gives a finite step algorithm, with a MATLAB implementation, for the construction indicated in the title of the paper, which is a generalization of an algorithm for the special case of equal main diagonal entries outlined by \textit{G. H. Golub} and \textit{C. F. Van Loan} [Matrix computations (2nd ed., 1989; Zbl 0733.65016), p. 456].

Related Organizations

Pennsylvania State University
United States
Zhejiang Ocean University
China (People's Republic of)

Keywords

Numerical computation of eigenvalues and eigenvectors of matrices, MATLAB, symmetric matrix, Other matrix algorithms, main diagonal, inverse eigenvalue problem, finite step algorithm, spectrum

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