Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4638621 | Journal of Computational and Applied Mathematics | 2015 | 9 Pages |
Abstract
A block matrix analysis is proposed to justify, and modify, a known algorithm for computing in O(n) time the determinant of a nonsingular nÃn pentadiagonal matrix (nâ¥6) having nonzero entries on its second subdiagonal. Also, we describe a procedure for computing the inverse matrix with acceptable accuracy in O(n2) time. In the general nonsingular case, for nâ¥5, proper decompositions of the pentadiagonal matrix, as a product of two structured matrices, allow us to obtain both the determinant and the inverse matrix by exploiting low rank structures.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
J. Abderramán Marrero, V. Tomeo,