Logarithms And Antilogarithms

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Logarithms and Antilogarithms

Author: D. Przeworska-Rolewicz
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
This volume proposes and explores a new definition of logarithmic mappings as invertible selectors of multifunctions induced by linear operators with domains and ranges in an algebra over a field of characteristic zero. Several important previously published results are presented. Amongst the applications of logarithmic and antilogarithmic mappings are the solution of linear and nonlinear equations in algebras of square matrices. Some results may also provide numerical algorithms for the approximation of solutions. Audience: Research mathematicians and other scientists of other disciplines whose work involves the solution of equations.