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Zeroing Dynamics, Gradient Dynamics, and Newton Iterations (Hardcover)
Loot Price: R4,460
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Zeroing Dynamics, Gradient Dynamics, and Newton Iterations (Hardcover)
Expected to ship within 12 - 17 working days
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Neural 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.
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