Details:
| Title | Parallel evaluation of the determinant and of the inverse of a matrix | | Author(s) | Zvi Galil, Victor Y. Pan | | Type | Article in Journal | | Abstract | We decrease (from (n super(2.876)) to o(n super(2.851)) the current record bound on the number of processors required in O(log super(2)n) step parallel arithmetic algorithms over rationals for the exact evaluation of the inverse and all coefficients of the characteristic polynomial of an n x n rational, real, or complex matrix A. For an integer input matrix A, the evaluation involves only d-bit numbers where either d = O(log p) if the computation is modulo a prime p or d = O(n log parallel A parallel ) in the general case; the Boolean cost of computing det A is further decreased in a randomized parallel algorithm. | | Keywords | parallel processing | | ISSN | 0020-0190 |
| URL |
dx.doi.org/10.1016/0020-0190(89)90173-7 |
| Language | English | | Journal | Information Processing Letters | | Volume | 30 | | Number | 1 | | Pages | 41-45 | | Publisher | Elsevier North-Holland, Inc. | | Address | Amsterdam, The Netherlands, The Netherlands | | Year | 1989 | | Month | January | | Translation |
No | | Refereed |
No |
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