Concepedia

Comparison on neural solvers for the Lyapunov matrix equation with stationary <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si40.gif" overflow="scroll"><mml:mrow><mml:mi>&</mml:mi></mml:mrow></mml:math> nonstationary coefficients

Chenfu Yi, Yuhuan Chen

Applied Mathematical Modelling · 2012 · 49 citations · 16 references

Concepts

Natural SciencesMathematicsDifferential EquationsDynamical SystemsComputational DynamicsControl TheoryMatrix ComputationNonlinear DynamicsNumerical Methods For Differential EquationsStability TheoryLinear System SolversLyapunov FunctionsLyapunov StabilityLyapunov Stability TheoryMatrix Equation SolversNeural Dynamical SystemsNonlinear Solvers

References

16

Exact Matrix Completion via Convex Optimization

Emmanuel J. Candès, Benjamin Recht · Foundations of Computational Mathematics · 2009 · 5.1K citations · Full text

Computing, Computer Science, Mathematics +15

Simple 'neural' optimization networks: An A/D converter, signal decision circuit, and a linear programming circuit

David W. Tank, J. J. Hopfield · IEEE Transactions on Circuits and Systems · 1986 · 2.2K citations

Computing, Computer Engineering, Computer Science +15

A recurrent neural network for solving Sylvester equation with time-varying coefficients

Yunong Zhang, Danchi Jiang, Jun Wang · IEEE Transactions on Neural Networks · 2002 · 660 citations

Natural Sciences, Mathematics, Differential Equations +16

Design and Analysis of a General Recurrent Neural Network Model for Time-Varying Matrix Inversion

Yong Zhang, Shuzhi Sam Ge · IEEE Transactions on Neural Networks · 2005 · 621 citations

Engineering, Mechatronics Engineering, Robotics Engineering +15

Gradient based iterative algorithms for solving a class of matrix equations

Feng Ding, Tongwen Chen · IEEE Transactions on Automatic Control · 2005 · 497 citations

Computing, Mathematics, Algorithms +14