000 02251 a2200361 4500
001 1498753787
005 20250317111645.0
008 250312042018xx 294 eng
020 _a9781498753784
037 _bTaylor & Francis
_cGBP 150.00
_fBB
040 _a01
041 _aeng
072 7 _aPB
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072 7 _aTJFM
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072 7 _aTJFM
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072 7 _aMAT003000
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072 7 _a515.42
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100 1 _aYunong Zhang
245 1 0 _aZeroing Dynamics, Gradient Dynamics, and Newton Iterations
250 _a1
260 _bCRC Press
_c20181009
300 _a340 p
520 _bNeural networks and neural dynamics are powerful approaches for the online solution of mathematical problems arising in many areas of science, engineering, and business. Compared with conventional gradient neural networks that only deal with static problems of constant coefficient matrices and vectors, the authors’ new method called zeroing dynamics solves time-varying problems. Zeroing Dynamics, Gradient Dynamics, and Newton Iterations is the first book that shows how to accurately and efficiently solve time-varying problems in real-time or online using continuous- or discrete-time zeroing dynamics. The book brings together research in the developing fields of neural networks, neural dynamics, computer mathematics, numerical algorithms, time-varying computation and optimization, simulation and modeling, analog and digital hardware, and fractals. The authors provide a comprehensive treatment of the theory of both static and dynamic neural networks. Readers will discover how novel theoretical results have been successfully applied to many practical problems. The authors develop, analyze, model, simulate, and compare zeroing dynamics models for the online solution of numerous time-varying problems, such as root finding, nonlinear equation solving, matrix inversion, matrix square root finding, quadratic optimization, and inequality solving.
700 1 _aLin Xiao
_4A01
700 1 _aZhengli Xiao
_4A01
700 1 _aMingzhi Mao
_4A01
999 _c7986
_d7986