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