The Banach algebra ), where is a BK space and applications.
de Malafosse, Bruno (2005)
Matematichki Vesnik
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Displaying similar documents to “Matrix transformations and quasi-Newton methods.”
The Banach algebra ), where is a BK space and applications.
On the Banach algebra .
De Malafosse, Bruno (2004)
International Journal of Mathematics and Mathematical Sciences
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A parametrized Newton method for nonsmooth equations with finitely many maximum functions
Shou-qiang Du, Yan Gao (2009)
Applications of Mathematics
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In this paper we propose a parametrized Newton method for nonsmooth equations with finitely many maximum functions. The convergence result of this method is proved and numerical experiments are listed.
Construction of fixed points by some iterative schemes.
Ahmed, A.El-Sayed, Kamal, A. (2009)
Fixed Point Theory and Applications [electronic only]
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Some notes on the quasi-Newton methods
Masanori Ozawa, Hiroshi Yanai (1982)
Aplikace matematiky
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A survey note whose aim is to establish the heuristics and natural relations in a class of Quasi-Newton methods in optimization problems. It is shown that a particular algorithm of the class is specified by characcterizing some parameters (scalars and matrices) in a general solution of a matrix equation.
A Newton-Kantorovich-SOR type theorem
Béla Finta (2005)
Open Mathematics
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In this paper we propose a new method for solving nonlinear systems of equations in finite dimensional spaces, combining the Newton-Raphson's method with the SOR idea. For the proof we adapt Kantorovich's demonstration given for the Newton-Raphson's method. As applications we reobtain the classical Newton-Raphson's method and the author's Newton-Kantorovich-Seidel type result.
Two-step relaxation Newton method for nonsymmetric algebraic Riccati equations arising from transport theory.
Wu, Shulin, Huang, Chengming (2009)
Mathematical Problems in Engineering
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Semi-smooth Newton methods for the Signorini problem
Kazufumi Ito, Karl Kunisch (2008)
Applications of Mathematics
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Semi-smooth Newton methods are analyzed for the Signorini problem. A proper regularization is introduced which guarantees that the semi-smooth Newton method is superlinearly convergent for each regularized problem. Utilizing a shift motivated by an augmented Lagrangian framework, to the regularization term, the solution to each regularized problem is feasible. Convergence of the regularized problems is shown and a report on numerical experiments is given.