An Abstraction-Preserving Block Matrix Implementation in Maple

A Maple implementation of partitioned matrices is described. A recursive block data structure is used, with all operations preserving the block abstraction. These include constructor functions, ring operations such as addition and product, and inversion. The package is demonstrated by calculating the PLU factorization of a block matrix.

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Published
2024-09-16
DOI
https://doi.org/10.1109/synasc65383.2024.00021
Primary Topic
Logic, programming, and type systems
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article
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article

An Abstraction-Preserving Block Matrix Implementation in Maple

David J. Jeffrey, Stephen M. Watt
Logic, programming, and type systems
article

An Abstraction-Preserving Block Matrix Implementation in Maple

David J. Jeffrey, Stephen M. Watt
article en

Abstract

A Maple implementation of partitioned matrices is described. A recursive block data structure is used, with all operations preserving the block abstraction. These include constructor functions, ring operations such as addition and product, and inversion. The package is demonstrated by calculating the PLU factorization of a block matrix.

Western University (CA), University of Waterloo (CA)
Openalex Percentile: Top 75%
Logic, programming, and type systems
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An Abstraction-Preserving Block Matrix Implementation in Maple — David J. Jeffrey, Stephen M. Watt · (2024) | TGRS Research Map | TGRS