Two examples on the convergence of certain rank-2 minimization methods for quadratic functionals in Hilbert space
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Publication:1133297
DOI10.1016/0024-3795(79)90135-6zbMath0421.65042OpenAlexW2032756163MaRDI QIDQ1133297
Publication date: 1979
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(79)90135-6
iterationvariable metric algorithmsBroyden's classconvergence of minimization methodsminimization of real functionalsrank-2 algorithmsreal Hilbert-space
Related Items (2)
Quasi-Newton methods in infinite-dimensional spaces and application to matrix equations ⋮ The global convergence of partitioned BFGS on problems with convex decompositions and Lipschitzian gradients
Cites Work
- Unnamed Item
- On the order of convergence of certain quasi-Newton methods
- Über die Konvergenz des Davidon-Fletcher-Powell-Verfahrens für streng konvexe Minimierungsaufgaben im Hilbertraum
- Variable metric algorithms: Necessary and sufficient conditions for identical behaviour of nonquadratic functions
- On the convergence rate of imperfect minimization algorithms in Broyden'sβ-class
- Quasi-Newton Methods, Motivation and Theory
- On the Local and Superlinear Convergence of Quasi-Newton Methods
- A Rapidly Convergent Descent Method for Minimization
- Quasi-Newton Methods and their Application to Function Minimisation
- Variance algorithm for minimization
- Davidon’s Method in Hilbert Space
- Davidon’s Method for Minimization Problems in Hilbert Space with an Application to Control Problems
- On the Convergence of the Variable Metric Algorithm
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