posed on a finite dimensional Hilbert space V equipped with an inner product (·, ·). Here A : V 7→ V is a symmetric positive definite (SPD) operator, f ∈ V is given, and we are looking for u ∈ V such that (1) holds. The X-Z identity for the multiplicative subspace correction method for solving (1) is introduced and proved in Xu and Zikatanov [2002]. Alternative proves can be found in Cho et al....

Quasidiagonal operators on a Hilbert space are a large and important class (containing all self-adjoint operators for instance). They are also perfectly suited for study via the finite section method (a particular Galerkin method). Indeed, the very definition of quasidiagonality yields finite sections with good convergence properties. Moreover, simple operator theory techniques yield estimates ...

A new iterative method for finding the projection onto the intersection of two closed convex sets in a Hilbert space is presented. It is a Haugazeau-like modification of a recently proposed averaged alternating reflections method which produces a strongly convergent sequence.

multi-part words in english language are hyphenated and hyphen is used to separate different parts. persian language consists of multi-part words as well. based on persian morphology, half-space character is needed to separate parts of multi-part words where in many cases people incorrectly use space character instead of half-space character. this common incorrectly use of space leads to some s...