Continuous steepest descent in Hilbert space: Nonlinear case

1997 ◽  
pp. 15-31
Author(s):  
John William Neuberger
Keyword(s):  
Hilbert Space ◽  
Steepest Descent ◽  
Nonlinear Case

Steepest descent in the Hilbert space - A method for calculating state vectors of ground and excited states

1986 ◽  
Vol 116 (9) ◽  
pp. 403-406 ◽  
Author(s):  
J. Ftáčnik ◽  
J. Pišút ◽  
V. Černý ◽  
P. Prešnajder
Keyword(s):  
Hilbert Space ◽  
Excited States ◽  
Steepest Descent

Steepest Descent and Least Squares Solvability

1974 ◽  
Vol 17 (2) ◽  
pp. 275-276 ◽  
Author(s):  
C. W. Groetsch
Keyword(s):  
Hilbert Space ◽  
Linear Operator ◽  
Least Squares ◽  
Bounded Linear Operator ◽  
Steepest Descent ◽  
Normal Equation ◽  
Bounded Linear ◽  
Least Squares Solution ◽  
Image Position

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

An Introduction to Hilbert Space

1988 ◽  
Author(s):  
N. Young
Keyword(s):  
Hilbert Space

Hilbert Space

1993 ◽  
Author(s):  
J. R. Retherford
Keyword(s):  
Hilbert Space
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