TY - JOUR
T1 - The decompositional approach to matrix computation
JF - Computing in Science Engineering
Y1 - 2000
A1 - Stewart, G.W.
KW - Algebra
KW - approach;history;matrix
KW - Cholesky
KW - computation;matrix
KW - computations;pivoted
KW - computing;matrix
KW - decomposition;
KW - decomposition;bibliographies;history;mathematics
KW - decomposition;decompositional
KW - decomposition;numerical
KW - decomposition;QR
KW - decomposition;Schur
KW - decomposition;singular
KW - decomposition;spectral
KW - linear
KW - LU
KW - matrix
KW - revolutionized
KW - value
AB - 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
VL - 2
SN - 1521-9615
CP - 1
M3 - 10.1109/5992.814658
ER -