The decompositional approach to matrix computation

TitleThe decompositional approach to matrix computation
Publication TypeJournal Articles
Year of Publication2000
AuthorsStewart G.W
JournalComputing in Science Engineering
Pagination50 - 59
Date Published2000/02//jan
ISBN Number1521-9615
KeywordsAlgebra, 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

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