Nested matrices and inverse M-matrices.
Autor: | Stuart, Jeffrey L |
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Jazyk: | angličtina |
Předmět: | |
Druh dokumentu: | Non-fiction |
ISSN: | 0011-4642 |
Abstrakt: | Abstract: Given a sequence of real or complex numbers, we construct a sequence of nested, symmetric matrices. We determine the LU- and QR-factorizations, the determinant and the principal minors for such a matrix. When the sequence is real, positive and strictly increasing, the matrices are strictly positive, inverse M-matrices with symmetric, irreducible, tridiagonal inverses. |
Databáze: | Katalog Knihovny AV ČR |
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