Renormalised steepest descent in Hilbert space converges to a two-point attractor.

DOI10.1023/A:1010680020662zbMath1106.90367MaRDI QIDQ5947373

Anatoly A. Zhigljavsky, Henry P. Wynn, Luc Pronzato

Publication date: 16 October 2001

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

Hilbert spaceasymptotic behaviourgradientsteepest descentperiod-2 cyclesquadratic operator

Mathematics Subject Classification ID

Convex programming (90C25) Dynamical systems in numerical analysis (37N30) Applications of operator theory in numerical analysis (47N40)

Related Items (5)

Estimation of spectral bounds in gradient algorithms ⋮ Gradient algorithms for quadratic optimization with fast convergence rates ⋮ Optimal experimental design and some related control problems ⋮ Asymptotic behaviour of a family of gradient algorithms in \(\mathbb R^{ d }\) and Hilbert spaces ⋮ Kantorovich-type inequalities for operators via \(D\)-optimal design theory

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