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Determination of the distribution of catalyst activity across a permeable membrane containing an immobilized enzyme. Indeterminacy of a functional approach to a structural problem. [PDF]
Biophys J, 1984 Bunow B, Caplan SR.
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On the semilocal convergence of Newton–Kantorovich method under center-Lipschitz conditions
Applied Mathematics and Computation, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J M Gutierrez +2 more
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Convergence of the Newton--Kantorovich Method for Calculating Invariant Subspaces
Mathematical Notes, 2004We propose a version of the Newton--Kantorovich method which, given a nondegenerate square n X n matrix and a number ...
M Sadkane, Sadkane M
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Newton–Kantorovich type convergence theorem for a family of new deformed Chebyshev method
Applied Mathematics and Computation, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qingbiao Wu, Yueqing Zhao
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A Newton–Kantorovich convergence theorem for the inverse-free Jarratt method in Banach space
Applied Mathematics and Computation, 2006Under weak conditions, we establish a Newton-Kantorovich type convergence theorem of the inverse-free Jarratt method in Banach space which is used to solve a nonlinear operator equation. Finally, some examples are provided to show the applicability of our theorem.
Qingbiao Wu, Yueqing Zhao
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On the Newton-Kantorovich method inK-normed spaces
Rendiconti del Circolo Matematico di Palermo, 2000The nonlinear operator equation \( f(x) + g(x) = 0 \) in \(K\)-normed spaces is analysed, where \(f\) is differentiable but \(g\) is not. Here \(K\) is a closed convex regular cone in a real Banach space. Under reasonable assumptions, esp. \(f'\) and \(g\) being Lipschitz in some ball, the authors prove solvability by means of the convergence of a ...
Caponetti, Diana +2 more
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Estimates of Majorizing Sequences in the Newton–Kantorovich Method
Numerical Functional Analysis and Optimization, 2006Let f:B(x 0,R) ⊆ X → Y be an operator, with X and Y Banach spaces, and f′ be Holder continuous with exponent θ. The convergence of the sequence of Newton–Kantorovich approximations is a classical tool to solve the equation f(x) = 0. The convergence of x n is often reduced to the study of the majorizing sequence r n defined by with a, b, k parameters ...
CIANCIARUSO, Filomena +1 more
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On q-Newton–Kantorovich method for solving systems of equations
Applied Mathematics and Computation, 2005It is well known that the classical Newton-Kantorovich method, Halley's method and many others in the class of methods devoted to solving a nonlinear equation \(F(x)=0\), are obtained by considering a corresponding truncated Taylor expansion of \(F\). This happens in the framework of the usual calculus. In the paper under review, by using the so called
Predrag M. Rajkovic +2 more
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