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Steepest Descent and Least Squares Solvability

Published online by Cambridge University Press:  20 November 2018

C. W. Groetsch
C. W. Groetsch*
Affiliation:
University of Cincinnati Cincinnati, Ohio 45221
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Let T be a bounded linear operator defined on a Hilbert space H. An element z∈H is called a least squares solution of the equation

if . It is easily shown that z is a least squares solution of (1) if and only if z satisfies the normal equation

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 17 , Issue 2 , 01 June 1974 , pp. 275 - 276
Copyright
Copyright © Canadian Mathematical Society 1974

References

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