Results 91 to 100 of about 249 (128)
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Extensions of Kantorovich theorem to complementarity problem
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2008AbstractThe Kantorovich theorem is extended to Newton‐Josephy method for solving nonlinear complementarity problem. All the convergence conditions established in this article can be tested in the digital computer.
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The Kantorovich Theorem for Newton's Method
The American Mathematical Monthly, 1971openaire +3 more sources
The Newton-Kantorovich Theorem
2020Solving nonlinear equations is one of the mathematical problems that is frequently encountered in diverse scientific disciplines. Thus, with the notation $$\displaystyle f(x)=0, $$ we include the problem of finding unknown quantity x, which can be a real or complex number, a vector, a function, etc., from data provided by the function f, which ...
José Antonio Ezquerro Fernández +1 more
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Kantorovich’s theorem for Newton’s method on Lie groups
Journal of Zhejiang University-SCIENCE A, 2007The aim of the paper is to study Newton's method for solving the equation \(f(x)= 0\), with \(f\) being a map from a Lie group to its corresponding algebra. Under a classical Lipschitz's condition, the convergence criterion of Newton's method independent of affine connections is established and the radius of the convergence ball is obtained.
Wang, Jin-Hua, Li, Chong
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A Tarski–Kantorovich theorem for correspondences
Journal of Mathematical EconomicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Łukasz Balbus +3 more
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Shadowing orbits and Kantorovich's theorem
Numerische Mathematik, 1996The author points out the close connection between Kantorovich's theorem on convergence of Newton's method and the existence of a finite shadowing orbit of a given pseudo-orbit. This paper clarifies some results that are already known and simplifies their proofs.
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The Kantorovich Theorem and interior point methods
Mathematical Programming, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Converse theorems for multidimensional Kantorovich operators
Analysis Mathematica, 1993The author devotes most of the paper to a detailed treatment of direct and inverse theorems for Kantorovich type operators \(K_ n\) defined on \(L_ p(S)\) where \(S\) is the triangle \(\{(x,y): x,y\geq 0,\;x+ y\leq 1\}\) by \[ K_ n(f,x,y)= \sum_{k+ m\leq n} {n\choose k}{n-k\choose m} x^ k y^ m(1- x- y)^{n-k-m} 2(n+1)^ 2\iint_{\Delta_{k,m}} f(s,t)ds dt,
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Extension of Saturation Theorems for the Sampling Kantorovich Operators
Complex Analysis and Operator Theory, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Benedetta Bartoccini +2 more
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A Direct Theorem for MKZ-Kantorovich Operator
Analysis Mathematica, 2018We characterize the approximation of functions in Lp norm by Kantorovich modification of the classical Meyer-Konig and Zeller operator. By defining an appropriate K-functional we prove a direct theorem for it.
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