Accession Number : AD0758142
Title : Investigations on the Numerical Solution of Polynomial Equations.
Descriptive Note : Final technical rept.,
Corporate Author : BASEL UNIV (SWITZERLAND) MATHEMATICS INST
Personal Author(s) : Ostrowski,Alexander M.
Report Date : MAR 1973
Pagination or Media Count : 11
Abstract : The report develops the following: Error estimates a posteriori, usable in numerical practice, for some classes of iterative procedures; Estimates of subdominant roots for a certain class of algebraic equations; Estimates of subdominant roots of positive matrices, known from previous work by the principal investigator and E. Hopf, generalized to irreducible non negative matrices; and, The characterization of the general regular orderings in the field of products of powers by applying the generalized Lexicographic Principle to a sequence of conveniently defined and chosen weight functions.
Descriptors : (*FUNCTIONAL ANALYSIS, POLYNOMIALS), MATRICES(MATHEMATICS), ITERATIONS, VECTOR SPACES, INEQUALITIES, SWITZERLAND
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE