Relationship between the Inverses of a Matrix and a Submatrix
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| Formato: | Artículo científico |
| Lenguaje: | en |
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Instituto Politécnico Nacional
2016
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| _version_ | 1876487234030403584 |
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| author | E. Juárez-Ruiz |
| author_facet | E. Juárez-Ruiz |
| contents | Relationship between the Inverses of a Matrix and a Submatrix E. Juárez-Ruiz R. Cortés-Maldonado F. Pérez-Rodríguez Computación submatrix Matrix inverse discrete Fourier transform 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 − 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. 2016 artículo científico 1405-5546 https://www.redalyc.org/articulo.oa?id=61547018008 en http://www.redalyc.org/revista.oa?id=615 Computación y Sistemas application/pdf Instituto Politécnico Nacional Computación y Sistemas (México) Num.2 Vol.20 |
| format | Artículo científico |
| id | redalyc_61547018008 |
| institution | Redalyc |
| language | en |
| publishDate | 2016 |
| publisher | Instituto Politécnico Nacional |
| spellingShingle | Relationship between the Inverses of a Matrix and a Submatrix E. Juárez-Ruiz Computación submatrix Matrix inverse discrete Fourier transform Relationship between the Inverses of a Matrix and a Submatrix E. Juárez-Ruiz R. Cortés-Maldonado F. Pérez-Rodríguez Computación submatrix Matrix inverse discrete Fourier transform 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 − 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. 2016 artículo científico 1405-5546 https://www.redalyc.org/articulo.oa?id=61547018008 en http://www.redalyc.org/revista.oa?id=615 Computación y Sistemas application/pdf Instituto Politécnico Nacional Computación y Sistemas (México) Num.2 Vol.20 |
| title | Relationship between the Inverses of a Matrix and a Submatrix |
| topic | Computación submatrix Matrix inverse discrete Fourier transform |
| url | https://www.redalyc.org/articulo.oa?id=61547018008 |