Introduction to matrix computations
Published 11 June 1973
G. W. Stewart
Citations2,396
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TL;DR
Rounding-Error Analysis of Solution of Triangular Systems and of Gaussian Elimination.
Abstract
Preliminaries. Practicalities. The Direct Solution of Linear Systems. Norms, Limits, and Condition Numbers. The Linear Least Squares Problem. Eigenvalues and Eigenvectors. The QR Algorithm. The Greek Alphabet and Latin Notational Correspondents. Determinants. Rounding-Error Analysis of Solution of Triangular Systems and of Gaussian Elimination. Of Things Not Treated. Bibliography. Index.