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A Superquadratic Variant of Newton's Method
SIAM Journal on Numerical Analysis, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An asynchronous parallel newton method
Mathematical Programming, 1988A parallel Newton method is described for the minimization of a twice continuously differentiable uniformly convex function F(x). The algorithm generates a sequence \(\{x_ j\}\) which converges superlinearly to the global minimizer of F(x).
H. Fischer, Klaus Ritter
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The improvements of modified Newton’s method
Applied Mathematics and Computation, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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REPEATED PLAY AND NEWTON'S METHOD
International Game Theory Review, 2000Motivated by repeated play of non-cooperative games, we study equation solving undertaken in parallel by several non-communicating agents, each dealing with his own block of variables. The process is akin to Newton's method in using derivative information.
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A Multidimensional Interval Newton Method
Reliable Computing, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Classification of Quasi-Newton Methods
Numerical Algorithms, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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1975
Many of the equations arising in practical problems are of a type difficult or impossible to solve by the standard algebraic methods. For example, the equations: $$ 2\sin {\kern 1pt} x - x = 0{\kern 1pt} {\kern 1pt} {e^x} - 2x - 1 = 0,{\kern 1pt} {\kern 1pt} {x^6} - 3x + 1 = 0 $$ have roots which we may estimate, by graphing the functions and ...
Brian Knight, Roger Adams
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Many of the equations arising in practical problems are of a type difficult or impossible to solve by the standard algebraic methods. For example, the equations: $$ 2\sin {\kern 1pt} x - x = 0{\kern 1pt} {\kern 1pt} {e^x} - 2x - 1 = 0,{\kern 1pt} {\kern 1pt} {x^6} - 3x + 1 = 0 $$ have roots which we may estimate, by graphing the functions and ...
Brian Knight, Roger Adams
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Polygonal Approximations by Newton's Method
IEEE Transactions on Computers, 1977The problem of locating optimally the breakpoints in a continuous piecewise-linear approximation is examined. The integral square error E of the approximation is used as the cost function. Its first and second derivatives are evaluated and this allows the application of Newton's method for solving the problem.
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Convergent newton method and neural network for the electric energy usage prediction
Information Sciences, 2022Genaro Ochoa +2 more
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Choosing the Forcing Terms in an Inexact Newton Method
SIAM Journal of Scientific Computing, 1996Homer F Walker, Stanley C Eisenstat
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