The decompositional approach to matrix computation
| Title | The decompositional approach to matrix computation |
| Publication Type | Journal Articles |
| Year of Publication | 2000 |
| Authors | Stewart G.W |
| Journal | Computing in Science Engineering |
| Volume | 2 |
| Issue | 1 |
| Pagination | 50 - 59 |
| Date Published | 2000/02//jan |
| ISBN Number | 1521-9615 |
| Keywords | Algebra, approach;history;matrix, Cholesky, computation;matrix, computations;pivoted, computing;matrix, decomposition;, decomposition;bibliographies;history;mathematics, decomposition;decompositional, decomposition;numerical, decomposition;QR, decomposition;Schur, decomposition;singular, decomposition;spectral, linear, LU, matrix, revolutionized, value |
| Abstract | The introduction of matrix decomposition into numerical linear algebra revolutionized matrix computations. The article outlines the decompositional approach, comments on its history, and surveys the six most widely used decompositions: Cholesky decomposition; pivoted LU decomposition; QR decomposition; spectral decomposition; Schur decomposition; and singular value decomposition |
| DOI | 10.1109/5992.814658 |