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Non-negativity test of multidimensional Hermitian matrices

โœ Scribed by N.K. Bose

Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
237 KB
Volume
299
Category
Article
ISSN
0016-0032

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โœฆ Synopsis

Arguments

are advanced to point out that simpliJicatio?L analogous to that in the computational test for positice definiteness of multidimensional Hermitian matrices is not possible when the Hermitian matrix is to be tested for non-negative de&items-s.

๐Ÿ“œ SIMILAR VOLUMES

Computing complex eigenvalues of large n
Computing complex eigenvalues of large non-Hermitian matrices
โœ W. Kerner; K. Lerbinger; J. Steuerwald ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 887 KB

The generalized eigenvalue problem Ax = hBx with a non-symmetric matrix A is solved by means of inverse vector iteration. The algorithm makes use of the band structure of the matrices, thus allowing quite large dimensions (d 5 3742). In the application all complex eigenvalues for the resistive Alfve