Abstract: The starting point is to rewrite the differential equation as an integral equation, which is then viewed as a functional equation. This makes obvious what the fixed point iteration should be ...

Dozens of machine learning algorithms require computing the inverse of a matrix. Computing a matrix inverse is conceptually easy, but implementation is one of the most difficult tasks in numerical ...

If you are used to writing software for modern machines, you probably don’t think much about computing something like one divided by three. Modern computers handle floating point quite well. However, ...

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Nick Ewen is TPG's senior editorial director and helps readers leverage credit cards (he has 23 of them) and loyalty programs to travel more for less. He's been at TPG for over 11 years. The cards we ...

In this paper we establish convergence and stability results using general contractive condition, quasi-nonexpansive mapping and mean non expansive mapping for K-iteration process. We shall also ...

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 ...