Results 211 to 220 of about 4,822 (250)

The Lipschitz condition without tears

International Journal of Mathematical Education in Science and Technology, 1991
The use of computers to find graphical solutions of ordinary differential equations (o.d.e.s.) increases the population to which we may teach the subject. At the same time it increases the importance of finding a clear and elementary way to the uniqueness problem.
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On conditions to have bounded multipliers in locally lipschitz programming

Mathematical Programming, 1980
For a nonlinear programming problem with locally Lipschitz objective and inequality constraint functions and continuously differentiable equality constraint functions, a necessary and sufficient condition is presented for the set of multiplier vectors to be nonempty and bounded.
Nguyen, Van Hien, Strodiot, Jean-Jacques, Mifflin, Robert   +2 more
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Newton’s Method under Different Lipschitz Conditions

2001
The classical Kantorovich theorem for Newton's method assumes that the derivative of the involved operator satisfies a Lipschitz condition ?F? (x0-1 [F? (x) - F? (y)] ? ? L?x - y? In this communication, we analyse the different modifications of this condition, with a special emphasis in the center-Lipschitz condition: ?F? (x0)-1 [F? (x) - F? (x0] ? ? ?(
José Manuel Gutiérrez Jiménez, Miguel Ángel Hernández 0001   +1 more
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Lipschitz conditions in conformally invariant metrics

Journal d'Analyse Mathématique, 1991
Let \(\gamma_ n\) and \(\tau_ n\) denote the capacities of the Grötzsch and Teichmüller rings in \(\mathbb{R}^ n\), respectively, and let \[ \varphi_{k,n}(r)=1/\gamma_ n^{-1}(k\gamma_ n(1/r)),\qquad \theta_{k,n}(r)=1/\tau_ n^{-1}(k\gamma_ n(1/r)), \] for \(r\in(0,1)\), \(k\geq 1\).
Ferrand, J., Martin, G. J., Vuorinen, M.
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The Strong Convexity Supporting Condition and the Lipschitz Condition for the Metric Projection

Mathematical Notes
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Balashov, M. V., Biglov, K. Z.
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Iterative process for certain nonlinear mappings with lipschitz condition

Applied Mathematics and Mechanics, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Asymptotic formulas and Lipschitz conditions

1967
If we let p → ∞ in the theorems of § 6 they go over formally into theorems about the boundedness of x−γϕ(x)(−1 < y < 0) or of |x − a| −γ|ϕ(x)−ϕ(a)| (0 ϕ y < 1), and about the boundedness of nγ+1 λ n or of $$ {n^\gamma }\sum\limits_{k = n}^\infty {{\lambda _k}}. $$
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Lipschitz Conditions

2022
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On LMI conditions to design observers for Lipschitz nonlinear systems

Automatica, 2013
Ali Zemouche, Mohamed Boutayeb
exaly  

Lipschitz -integral operators and Lipschitz -nuclear operators

Nonlinear Analysis: Theory, Methods & Applications, 2012
Dongyang Chen, Bentuo Zheng
exaly