Relationship between the Inverses of a Matrix and a Submatrix
| Autor: | R. Cortes Maldonado, E. Juárez Ruiz, F. Perez Rodriguez |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
General Computer Science
Block (permutation group theory) Block matrix Inverse 02 engineering and technology Computer Science::Numerical Analysis 01 natural sciences Combinatorics 010104 statistics & probability Discrete Fourier transform (general) Matrix (mathematics) Simple (abstract algebra) 0202 electrical engineering electronic engineering information engineering Order (group theory) 020201 artificial intelligence & image processing 0101 mathematics Variety (universal algebra) Mathematics |
| Zdroj: | Computación y Sistemas. 20 |
| ISSN: | 2007-9737 1405-5546 |
| DOI: | 10.13053/cys-20-2-2083 |
| Popis: | A simple and straightforward formula for computing the inverse of a submatrix in terms of the inverse of the original matrix is derived. General formulas for the inverse of submatrices of order 𝑛 − 𝑘 as well as block submatrices are derived. The number of additions (or subtractions) and multiplications (or divisions) on the formula is calculated. A variety of numerical results are shown. |
| Databáze: | OpenAIRE |
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