Steepest descent with momentum for quadratic functions is a version of the conjugate gradient method
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Publication:1887125
DOI10.1016/S0893-6080(03)00170-9zbMath1082.68093WikidataQ51728840 ScholiaQ51728840MaRDI QIDQ1887125
Amit Bhaya, Eugenius Kaszkurewicz
Publication date: 23 November 2004
Published in: Neural Networks (Search for Journal in Brave)
ConvergenceControl Lyapunov functionContinuous optimizationBackpropagationMomentumSteepest descentBilinear systemConjugate gradient algorithm
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Cites Work
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- Stabilization of bilinear systems by quadratic feedback controls
- Feedback stabilization of a second-order system: A nonmodal approach
- On asymptotically stabilizing feedback control of bilinear systems
- On the Continuous Realization of Iterative Processes
- Matrix differential equations: a continuous realization process for linear algebra problems
- Numerical Optimization
- THE HEAVY BALL WITH FRICTION METHOD, I. THE CONTINUOUS DYNAMICAL SYSTEM: GLOBAL EXPLORATION OF THE LOCAL MINIMA OF A REAL-VALUED FUNCTION BY ASYMPTOTIC ANALYSIS OF A DISSIPATIVE DYNAMICAL SYSTEM
- Some methods of speeding up the convergence of iteration methods
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