Abstract: Model-based approaches to the planning or control of robot locomotion or manipulation requires the solution of complementarity problems that model intermittent contact. Fixed-point iteration ...

In many iterative schemes, the precision of each step depends on the computational effort spent on that step. A method of specifying a suitable amount of computation at each step is described. The ...

This is a Streamlit application that leverages LangChain and Groq's LLMs to create an interactive assistant for mathematical solutions. It's especially focused on fixed-point iteration methods, but ...

Abstract: In technical applications typical problems arise that can be “differentially” treated by the calculation and subsequent inversion of certain Jacobi matrices. However, in many cases, the ...

Newton's method is actually a special case of what is generally known as a fixed point method. These methods rely on the Fixed point Theorem: ...

Let K be a nonempty closed convex subset of a real Banach space E and T be a Lipschitz pseudocontractive self-map of K with $F(T)\coloneq ${x∈ K: Tx=x}$\neq ...

It is sometimes useful to output quantities after each fixed point iteration, for example, for testing or monitoring fixed point progress. Currently, there is only one execution point for Outputs ...