Quasi Kronecker products and a determinant formula
| Autor: | Titus Hilberdink |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Kronecker product
Numerical Analysis Algebra and Number Theory 010102 general mathematics Multiplicative function 0211 other engineering and technologies Cauchy–Binet formula 021107 urban & regional planning 02 engineering and technology Type (model theory) 01 natural sciences Matrix addition Combinatorics symbols.namesake Kronecker delta symbols Discrete Mathematics and Combinatorics Kronecker's theorem Kronecker symbol Geometry and Topology 0101 mathematics Mathematics |
| ISSN: | 0024-3795 |
| Popis: | We introduce an extension of the Kronecker product for matrices which retains many of the properties of the usual Kronecker product. As an application we study matrices over divisor-closed sets with multiplicative entries, and show how these are quasi Kronecker products over the primes of simpler matrices. In particular this gives a formula for the determinant of such matrices which combines and generalizes a number of previous results on Smith type determinants. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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