@article {17735, title = {The decompositional approach to matrix computation}, journal = {Computing in Science Engineering}, volume = {2}, year = {2000}, month = {2000/02//jan}, pages = {50 - 59}, 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}, 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}, isbn = {1521-9615}, doi = {10.1109/5992.814658}, author = {Stewart, G.W.} }