Convolution number
type: Item
instance of: scholarly article
title: Convolution number
zbMATH Open document ID: 0796.65072
DOI: 10.1016/0898-1221(93)90066-5
author: W. C. Hassenpflug
publication date: 1994-09-26T00:00:00Z
review text: This monograph length paper presents the theory of ``convolution numbers''. Convolution numbers are defined as infinite dimensional vectors of real or complex numbers, associated with power series expansions. The truncated versions used in numerical computations are also called convolution numbers. Arithmetic operations are defined, together with an algebra and a calculus, that leads to the consideration of algebraic and differential equations.
reviewed by: Victor Pereyra
Mathematics Subject Classification ID: 65J05
Mathematics Subject Classification ID: 34A25
Mathematics Subject Classification ID: 65J99
Mathematics Subject Classification ID: 15A06
Mathematics Subject Classification ID: 26E10
Mathematics Subject Classification ID: 26E15
zbMATH DE Number: 571831
zbMATH Keywords: algebraic equations
zbMATH Keywords: convolution numbers
zbMATH Keywords: arithmetic operations
zbMATH Keywords: infinite dimensional vectors
zbMATH Keywords: power series expansions
zbMATH Keywords: algebra
zbMATH Keywords: calculus
zbMATH Keywords: differential equations
describes a project that uses: Maple
describes a project that uses: IMSL Numerical Libraries
describes a project that uses: PASVA3
MaRDI profile type: Publication
full work available at URL: 0898-1221(93)90066-5
OpenAlex ID: W4213053491
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Convolution number (published in)
published in: Computers & Mathematics with Applications