Survey on generalizations of the intermediate value theorem and applications
From MaRDI portal
Publication:2109973
DOI10.1007/978-3-031-14788-3_1OpenAlexW4298433987MaRDI QIDQ2109973
Publication date: 21 December 2022
Full work available at URL: https://doi.org/10.1007/978-3-031-14788-3_1
fixed pointsexistence theoremsperiodic orbitszerosPoincaré mapgeneralizations of the intermediate value theoremsystems of nonlinear algebraic and/or transcendental equations
Uses Software
Cites Work
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- Generalization of the Bolzano theorem for simplices
- On the complexity of isolating real roots and computing with certainty the topological degree
- A rapid generalized method of bisection for solving systems of non-linear equations
- Optimal solution of nonlinear equations
- Bisection is optimal
- Chaos in classical and quantum mechanics
- Computing the topological degree of a mapping in \(R^n\)
- An efficient degree-computation method for a generalized method of bisection
- Sign determination in residue number systems
- On the existence theorems of Kantorovich, Miranda and Borsuk
- An efficient method for locating and computing periodic orbits of nonlinear mappings
- Intermediate value theorem for simplices for simplicial approximation of fixed points and zeros
- On the existence and stabilization of an upper unstable limit cycle of the damped forced pendulum
- A Short Proof and a Generalization of Miranda's Existence Theorem
- Algorithm 666: Chabis: a mathematical software package for locating and evaluating roots of systems of nonlinear equations
- Solving systems of nonlinear equations using the nonzero value of the topological degree
- A Proof of Convergence and an Error Bound for the Method of Bisection in R n
- Structure and Breakdown of Invariant Tori in a 4-D Mapping Model of Accelerator Dynamics
- PERIODIC ORBITS AND INVARIANT SURFACES OF 4D NONLINEAR MAPPINGS
- Equilibrium Selection in Auctions and High Stakes Games
- Iterative Solution of Nonlinear Equations in Several Variables
- Generalizations of the Intermediate Value Theorem for Approximating Fixed Points and Zeros of Continuous Functions
