Dual Numbers and Operational Umbral Methods
Copyright policy )Dual Numbers and Operational Umbral Methods
Dual numbers and their higher-order version are important tools for numerical computations, and in particular for finite difference calculus. Based on the relevant algebraic rules and matrix realizations of dual numbers, we present a novel point of view, embedding dual numbers within a formalism reminiscent of operational umbral calculus.
- University of Paris France
- Polish Academy of Learning Poland
- Université de Paris France
- Université Paris Diderot France
- French National Centre for Scientific Research France
[MATH] Mathematics [math], Matrices, determinants in number theory, dual numbers; operational methods; umbral image techniques, Calculus of Mikusiński and other operational calculi, General Mathematics (math.GM), umbral image techniques, QA1-939, FOS: Mathematics, dual numbers, Umbral calculus, 34A25, 05A40, 78A60 (primary) 33C50 (secondary), Mathematics - General Mathematics, Mathematics, operational methods
[MATH] Mathematics [math], Matrices, determinants in number theory, dual numbers; operational methods; umbral image techniques, Calculus of Mikusiński and other operational calculi, General Mathematics (math.GM), umbral image techniques, QA1-939, FOS: Mathematics, dual numbers, Umbral calculus, 34A25, 05A40, 78A60 (primary) 33C50 (secondary), Mathematics - General Mathematics, Mathematics, operational methods
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