Nested matrices and inverse M-matrices.

Autor: Stuart, Jeffrey L
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