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Bounds on nonlinear operators in finite-dimensional banach spaces

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Eine Spektraltheorie für allgemeine Operatoren eines unitären Raumes. Erhard Schmidt zum 75. Geburtstag in Verehrung gewidmet
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G. Dahlquist, Stability and Error Bounds in the Numerical Integration of Ordinary Differential Equations. 85 S. Stockholm 1959. K. Tekniska Högskolans Handlingar
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A Hilbert Space Problem Book
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Nonlinear Functional Analysis
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Absolute and monotonic norms
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On the characterization of least upper bound norms in matrix space
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The bauer fields of values of a matrix
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On the field of values subordinate to a norm
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Norm bounds for rational matrix functions
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G-stability is equivalent toA-stability
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On nonlinear difference and differential equations
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An error bound for fixed-point iterations
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On convexity properties of the Bauer field of values of a matrix
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Remarks on Time Discretization of Contraction Semigroups
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On Logarithmic Norms
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Iterative Solution of Nonlinear Equations in Several Variables
inferredcites →https://doi.org/10.1215/s0012-7094-62-02933-2openalex-snapshot
Monotone (nonlinear) operators in Hilbert space
inferredcites →https://doi.org/10.1215/s0012-7094-63-03061-8openalex-snapshot
The solvability of non-linear functional equations
inferredcites →https://doi.org/10.2140/pjm.1967.22.575openalex-snapshot
The closure of the numerical range contains the spectrum
inferredcites →https://doi.org/10.2307/2002929openalex-snapshot
Stability and Error Bounds in the Numerical Integration of Ordinary Differential Equations.
inferredcites →https://doi.org/10.2307/2004942openalex-snapshot
Iterative Solution of Nonlinear Equations in Several Variables
inferredcites →https://doi.org/10.2307/2323760openalex-snapshot
A Hilbert Space Problem Book.

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Global Bounds on Numerical Error for Ordinary Differential Equations
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A Novel Approach to Exponential Stability Analysis of Cohen-Grossberg Neural Networks
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Galerkin/Runge–Kutta discretizations of nonlinear parabolic equations
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Orthogonality in locally convex spaces: Two nonlinear generalizations of Neumann's lemma
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Logarithmic Lipschitz norms and diffusion-induced instability
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A note on Söderlind’s conjecture
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Logarithmic Norms and Nonlinear DAE Stability
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An optimal ball algorithm for fixed point equations
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The optimal ball algorithm for nonlinear equations of quasi-strongly monotone operators
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On the Use of Stability Regions in the Numerical Analysis of Initial Value Problems
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Contraction methods for nonlinear systems: A brief introduction and some open problems
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Stability analysis for linear systems with a time-varying sampling period
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Quantitative Studies on Asymptotic Growth Behaviors of Trajectories of Nonlinear Discrete Dynamical Systems
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Synchronization of Diffusively-Connected Nonlinear Systems: Results Based on Contractions with Respect to General Norms
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Convergence of Multistep Time Discretizations of Nonlinear Dissipative Evolution Equations
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Nonlinear Model Reduction via Discrete Empirical Interpolation
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A State Space Error Estimate for POD-DEIM Nonlinear Model Reduction
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Geometric Properties of Runge--Kutta Discretizations for Index 2 Differential Algebraic Equations
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Control Strategies for the Iterative Solution of Nonlinear Equations in ODE Solvers
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Diagonally Implicit Runge-Kutta Methods for Nonlinear Dissipative Systems under Convex Functional in Vector Space
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Stability and Convergence of Stepsize-Dependent Linear Multistep Methods for Nonlinear Dissipative Evolution Equations in Banach Space
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Improving Casazza-Kalton-Christensen-van Eijndhoven Perturbation with Applications
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