Investigations on the Numerical Solution of Polynomial Equations.
Final technical rept.,
BASEL UNIV (SWITZERLAND) MATHEMATICS INST
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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.
- Theoretical Mathematics