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Author Birkhoff, Garrett
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Language English
Subject Keyword Error analysis ♦ Condition numbers ♦ Eigenvalues ♦ Norms ♦ Matrices ♦ Gram-schmidt orthogonalization
Abstract A discussion is given of two functions of the entries of a square matrix, both related to Hadamard's determinant theorem, which have some merits as alternatives to norm-bound “condition numbers.” One (for linear systems) is known; the other (for eigensystems) seems to be new.
Description Affiliation: Harvard Univ., Cambridge, MA (Birkhoff, Garrett)
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2005-08-01
Publisher Place New York
Journal Communications of the ACM (CACM)
Volume Number 18
Issue Number 1
Page Count 5
Starting Page 25
Ending Page 29


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Source: ACM Digital Library