Journal article
An elementary method to compute the algebra generated by some given matrices and its dimension
Linear algebra and its applications, v 571, pp 132-142
15 Jun 2019
Abstract
We give an efficient solution to the following problem: Given X1,…Xd and Y some n by n matrices can we determine if Y is in the unital algebra generated by X1,…,Xd as a subalgebra of all n by n matrices? The solution also gives an easy method for computing the dimension of this algebra.
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Details
- Title
- An elementary method to compute the algebra generated by some given matrices and its dimension
- Creators
- J.E. Pascoe - Department of Mathematics, University of Florida, 1400 Stadium Rd., Gainesville, FL 32611, United States of America
- Publication Details
- Linear algebra and its applications, v 571, pp 132-142
- Publisher
- Elsevier
- Grant note
- DMS 1606260 / National Science Foundation Mathematical Science Postdoctoral Research Fellowship
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000465186900010
- Scopus ID
- 2-s2.0-85062369832
- Other Identifier
- 991021879783004721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Mathematics
- Mathematics, Applied