Relationship between the Inverses of a Matrix and a Submatrix



Document title: Relationship between the Inverses of a Matrix and a Submatrix
Journal: Computación y sistemas
Database: PERIÓDICA
System number: 000410047
ISSN: 1405-5546
Authors: 1
2
2
Institutions: 1Benemérita Universidad Autónoma de Puebla, Facultad de Ciencias de la Electrónica, Puebla. México
2Benemérita Universidad Autónoma de Puebla, Instituto de Física, Puebla. México
Year:
Season: Abr-Jun
Volumen: 20
Number: 2
Pages: 251-262
Country: México
Language: Inglés
Document type: Artículo
Approach: Experimental, aplicado
English abstract 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
Disciplines: Matemáticas
Keyword: Matemáticas aplicadas,
Matriz inversa,
Submatriz,
Transformada discreta de Fourier
Keyword: Mathematics,
Applied mathematics,
Inverse matrix,
Submatrix,
Discrete Fourier transform
Full text: Texto completo (Ver HTML)