ISSN:
0945-3245
Keywords:
AMS (MOS): 15A12
;
49D15
;
65F35
;
CR: G1.3
;
G1.6
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary We derive lower bounds for the ∞-condition number of then×n-Vandermonde matrixV n(x) in the cases where the node vectorx T=[x1, x2,...,xn] has positive elements or real elements located symmetrically with respect to the origin. The bounds obtained grow exponentially inn. withO(2n) andO(2n/2), respectively. We also compute the optimal spectral condition numbers ofV n(x) for the two node configurations (including the optimal nodes) and compare them with the bounds obtained.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01398878
Permalink