Extreme points of the Vandermonde determinant on surfaces implicitly determined by a univariate polynomial

• The problem of optimising the Vandermonde determinant on a few different surfaces defined by univariate polynomials is discussed. The coordinates of the extreme points are given as roots of polynomials. Applications in curve fitting and electrostatics are also briefly discussed.

Ämnesord

NATURVETENSKAP  -- Matematik -- Matematisk analys (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Mathematical Analysis (hsv//eng)

Nyckelord

Vandermonde matrix

Vandermonde determinant

orthogonal polynomials

p-sphere

p-norm

d-optimal design

electrostatics

Mathematics/Applied Mathematics

matematik/tillämpad matematik

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