Implementation of multilinear operators in Reduce and applications in Mathematics

Marcel Roelofs; Peter K.H. Gragert

doi:10.1145/120694.120754

Implementation of multilinear operators in Reduce and applications in Mathematics

Marcel Roelofs, Peter K.H. Gragert

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

1 Citation (Scopus)

62 Downloads (Pure)

Abstract

In this paper we introduce and implement a concept for dealing with mathematical bases of linear spaces and mappings (multi)linear with respect to such bases, in REDUCE (cf. [1]). Using this concept we give some examples how to implement some well known (multi)linear mappings in mathematics with very little effort. Moreover we implement a procedure operatorcoefl similar to the standard
REDUCE procedure coefl, but now for linear spaces instead of polynomial rings.

Original language	English
Title of host publication	ISSAC '91
Subtitle of host publication	Proceedings of the 1991 International Symposium on Symbolic and Algebraic Computation 1991
Place of Publication	Bonn, Duitsland
Publisher	Association for Computing Machinery
Pages	390-396
Number of pages	7
ISBN (Print)	9780897914376
DOIs	https://doi.org/10.1145/120694.120754
Publication status	Published - 15 Jul 1991
Event	International Symposium on Symbolic and Algebraic Computation, ISSAC 1991 - Bonn, Germany Duration: 15 Jul 1991 → 17 Jul 1991

Conference

Conference	International Symposium on Symbolic and Algebraic Computation, ISSAC 1991
Abbreviated title	ISSAC
Country/Territory	Germany
City	Bonn
Period	15/07/91 → 17/07/91

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Cite this

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title = "Implementation of multilinear operators in Reduce and applications in Mathematics",

abstract = "In this paper we introduce and implement a concept for dealing with mathematical bases of linear spaces and mappings (multi)linear with respect to such bases, in REDUCE (cf. [1]). Using this concept we give some examples how to implement some well known (multi)linear mappings in mathematics with very little effort. Moreover we implement a procedure operatorcoefl similar to the standardREDUCE procedure coefl, but now for linear spaces instead of polynomial rings.",

author = "Marcel Roelofs and Gragert, {Peter K.H.}",

year = "1991",

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note = "International Symposium on Symbolic and Algebraic Computation, ISSAC 1991, ISSAC ; Conference date: 15-07-1991 Through 17-07-1991",

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Roelofs, M & Gragert, PKH 1991, Implementation of multilinear operators in Reduce and applications in Mathematics. in ISSAC '91: Proceedings of the 1991 International Symposium on Symbolic and Algebraic Computation 1991. Association for Computing Machinery, Bonn, Duitsland, pp. 390-396, International Symposium on Symbolic and Algebraic Computation, ISSAC 1991, Bonn, North Rhine-Westphalia, Germany, 15/07/91. https://doi.org/10.1145/120694.120754

Implementation of multilinear operators in Reduce and applications in Mathematics. / Roelofs, Marcel; Gragert, Peter K.H.
ISSAC '91: Proceedings of the 1991 International Symposium on Symbolic and Algebraic Computation 1991. Bonn, Duitsland: Association for Computing Machinery, 1991. p. 390-396.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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AU - Gragert, Peter K.H.

PY - 1991/7/15

Y1 - 1991/7/15

N2 - In this paper we introduce and implement a concept for dealing with mathematical bases of linear spaces and mappings (multi)linear with respect to such bases, in REDUCE (cf. [1]). Using this concept we give some examples how to implement some well known (multi)linear mappings in mathematics with very little effort. Moreover we implement a procedure operatorcoefl similar to the standardREDUCE procedure coefl, but now for linear spaces instead of polynomial rings.

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U2 - 10.1145/120694.120754

DO - 10.1145/120694.120754

M3 - Conference contribution

SN - 9780897914376

SP - 390

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BT - ISSAC '91

PB - Association for Computing Machinery

CY - Bonn, Duitsland

T2 - International Symposium on Symbolic and Algebraic Computation, ISSAC 1991

Y2 - 15 July 1991 through 17 July 1991

ER -

Implementation of multilinear operators in Reduce and applications in Mathematics

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