An Elementary Proof of the Exponential Conditioning of Real Vandermonde Matrices
Bollettino dell'Unione Matematica Italiana (2007)
- Volume: 10-B, Issue: 3, page 761-768
- ISSN: 0392-4041
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topSerra Capizzano, Stefano. "An Elementary Proof of the Exponential Conditioning of Real Vandermonde Matrices." Bollettino dell'Unione Matematica Italiana 10-B.3 (2007): 761-768. <http://eudml.org/doc/290357>.
@article{SerraCapizzano2007,
abstract = {We provide and discuss an elementary proof of the exponential con- ditioning of real Vandermonde matrices which can be easily given in undergraduate courses: we exclusively use the definition of conditioning and the sup-norm formula on $[-1, 1]$ for Chebyshev polynomials of first kind. The same proof idea works virtually unchanged for the famous Hilbert matrix.},
author = {Serra Capizzano, Stefano},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {761-768},
publisher = {Unione Matematica Italiana},
title = {An Elementary Proof of the Exponential Conditioning of Real Vandermonde Matrices},
url = {http://eudml.org/doc/290357},
volume = {10-B},
year = {2007},
}
TY - JOUR
AU - Serra Capizzano, Stefano
TI - An Elementary Proof of the Exponential Conditioning of Real Vandermonde Matrices
JO - Bollettino dell'Unione Matematica Italiana
DA - 2007/10//
PB - Unione Matematica Italiana
VL - 10-B
IS - 3
SP - 761
EP - 768
AB - We provide and discuss an elementary proof of the exponential con- ditioning of real Vandermonde matrices which can be easily given in undergraduate courses: we exclusively use the definition of conditioning and the sup-norm formula on $[-1, 1]$ for Chebyshev polynomials of first kind. The same proof idea works virtually unchanged for the famous Hilbert matrix.
LA - eng
UR - http://eudml.org/doc/290357
ER -
References
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