Series and iterations for 1/π

Extremal Modular Lattices, McKay Thompson Series, Quadratic Iterations, and New Series for π

Asynchronous Iterations for Enclosing Solutions Asynchronous Iterations for Enclosing Solutions

We consider asynchronous, parallel iterations for calculating enclosures of solutions of systems of nonlinear equations in IR n. Particularly, we will show how two classical theorems on the monotone convergence of some iterative methods for certain classes of nonlinear equations carry over to the asynchronous case.

Double Sequence Iterations for Strongly Contractive Mapping in Modular Space

In this paper, we consider double sequence iteration processes for strongly $rho$-contractive mapping in modular space. It is proved, these sequences, convergence strongly to a fixed point of the strongly $rho$-contractive mapping.

Cubically Convergent Iterations for Invariant

We propose a Newton-like iteration that evolves on the set of fixed dimensional subspaces of Rn and converges locally cubically to the invariant subspaces of a symmetric matrix. This iteration is compared in terms of numerical cost and global behavior with three other methods that display the same property of cubic convergence. Moreover, we consider heuristics that greatly improve the global be...

Iterations for Elliptic Variational Inequalities

A wide range of free boundary problems occurring in engineering and industry can be rewritten as a minimization problem for a strictly convex, piecewise smooth but non{diierentiable energy functional. The fast solution of related discretized problems is a very delicate question, because usual Newton techniques cannot be applied. We propose a new approach based on convex minimization and constra...