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Supremum and stability of weighted pseudoinverses and weighted least squares problems analysis and computations

Author: Musheng Wei
Publisher: Huntington, N.Y. : Nova Science Publishers, ©2001.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
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Document Type: Book
All Authors / Contributors: Musheng Wei
ISBN: 1560729228 9781560729228
OCLC Number: 46321107
Description: xiii, 182 pages ; 24 cm
Contents: Notation and definitions --
Basic mathematical background --
Outline of the monograph --
WLS and WLSE problems --
WLS --
WLSE --
Stability of pseudoinverses --
Error estimates of WLS and WLSE --
Supremum of WP- and CWP-inverses --
Supremum of WP-inverses --
Supremum of WP-inverses over D --
Supremum of WP-inverses over P --
Supremum of CWP-inverses --
Supremum of CWP-verses over D[subscript 2] --
Supremum of CWP-inverses over P[subscript 2] --
Stability of WP-inverses and CWP-inverses --
Stability of WP-inverses --
Stability of CWP-inverses --
Perturbation bounds of W-projections --
Only W is perturbed --
Only A is perturbed --
Both A and W are perturbed --
When W [set membership] P --
Upper error bounds of WLS and WLSE --
Upper perturbation bounds of WLS --
Upper perturbation bounds of WLSE --
Numerical computations of WLS --
QRD --
Householder transformations --
Givens transformations --
Householder and Givens column pivoting QRD --
The MGS column pivoting QRD --
LS by the QRD --
Iterative refinement --
Numerical computations of WLS --
QRD for WLS --
Weighted QR --
Method based on Gaussian elimination --
Nullspace-scaled hybrid algorithm --
Numerical computations of WLSE --
Perturbation method --
Method of weighting --
Direct elimination methods --
QRD based method --
GSVD method --
Numerical Examples.
Responsibility: Musheng Wei.

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