Geodesic
The interplay between classical analysis and (numerical) linear algebra -- a tribute to Gene H. Golub
Electronic transactions on numerical analysis, Tome 13 (2002), pp. 119-147.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Much of the work of Golub and his collaborators uses techniques of linear algebra to deal with problems in analysis, or employs tools from analysis to solve problems arising in linear algebra. Instances are described of such interdisciplinary work, taken from quadrature theory, orthogonal polynomials, and least squares problems on the one hand, and error analysis for linear algebraic systems, element-wise bounds for the inverse of matrices, and eigenvalue estimates on the other hand.
Classification : 65D32, 33C45, 65D10, 15A45, 65F10
Keywords: Gauss-type quadratures, eigenvalue/vector characterizations, orthogonal polynomials, modification algorithms, polynomials orthogonal on several intervals, least squares problem, Lanczos algorithm, bounds for matrix functionals, iterative methods 
@article{ETNA_2002__13__a0,
     author = {Gautschi, Walter},
     title = {The interplay between classical analysis and (numerical) linear algebra -- a tribute to {Gene} {H.} {Golub}},
     journal = {Electronic transactions on numerical analysis},
     pages = {119--147},
     publisher = {mathdoc},
     volume = {13},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2002__13__a0/}
}
TY  - JOUR
AU  - Gautschi, Walter
TI  - The interplay between classical analysis and (numerical) linear algebra -- a tribute to Gene H. Golub
JO  - Electronic transactions on numerical analysis
PY  - 2002
SP  - 119
EP  - 147
VL  - 13
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ETNA_2002__13__a0/
LA  - en
ID  - ETNA_2002__13__a0
ER  - 
%0 Journal Article
%A Gautschi, Walter
%T The interplay between classical analysis and (numerical) linear algebra -- a tribute to Gene H. Golub
%J Electronic transactions on numerical analysis
%D 2002
%P 119-147
%V 13
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ETNA_2002__13__a0/
%G en
%F ETNA_2002__13__a0
Gautschi, Walter. The interplay between classical analysis and (numerical) linear algebra -- a tribute to Gene H. Golub. Electronic transactions on numerical analysis, Tome 13 (2002), pp. 119-147. http://geodesic.mathdoc.fr/item/ETNA_2002__13__a0/