Why Lagrange Multipliers with Extreme Magnitudes Give Extrema of Definite Hermitian Forms on Quadric Surfaces

DOI10.1137/080743172zbMath1202.15029OpenAlexW1999957560MaRDI QIDQ3584161

Yves Nievergelt

Publication date: 19 August 2010

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/080743172

zbMATH Keywords

Lagrange multiplierdualityquadrictrigonometrysecular equationsquadratic constraintgeodetic coordinatesquadratic objectiveextreme distancespositive definite Hermitian form

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Quadratic programming (90C20) Quadratic and bilinear forms, inner products (15A63)

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