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The eigenvalue problem for a matrix of a special form and its applications

โœ Scribed by Gusein Guseinov; Mehmet Terziler

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
757 KB
Volume
259
Category
Article
ISSN
0024-3795

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โœฆ Synopsis

This paper investigates the properties of eigenvalues and eigenvectors of a matrix A= 0 I c-II? c-l I 1 of order 2 N, where 1 is a symmetric tridiagonal real matrix of order N, R and C arr positive diagonal matrices of order N, and I is the identity matrix. The obtained results are then used to solve the corresponding system of differential equations with the boundary and initial conditions.

๐Ÿ“œ SIMILAR VOLUMES

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โœ Nian Li ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 480 KB

The problem of generating a matrix A with specified eigenvalues, which maps a given set of vectors of another given set, is presented. An existence theorem is given and proved. A stable algorithm for producing the matrix A is discussed. The relation between this problem and the pole assignment probl