background: recurrence rate of rotator cuff tears is still high despite the improvements of surgical techniques, materials used and a better knowledge of the healing process of the rotator cuff tendons. large to massive rotator cuff tears are particularly associated with a high failure rate, especially in elderly. augmentation of rotator cuff repairs with extracellular matrix or synthetic patch...

In this paper, we analyze the process of “assembling” new matrix geometric means from existing ones, through function composition or limit processes. We show that for n = 4 a new matrix mean exists which is simpler to compute than the existing ones. Moreover, we show that for n > 4 the existing proving strategies cannot provide a mean computationally simpler than the existing ones.

Geometric programming is a mathematical technique, which has been developed for nonlinear optimization problems. This technique is based on the dual program with linear constraints. Determination of species concentrations in chemical equilibrium conditions is one of its applications in chemistry and chemical engineering fields. In this paper, the principles of geometric programming and its comp...

The algebraic multigrid (AMG) method is not only efficient in solving for linear systems arising in finite element analyses, but also applicable at a matrix level without geometric information on the domain, different from the geometric multigrid solvers. The present paper proposes a combination of the parallel processing technique and the AMG method as a fast solver for electromagnetic field a...

One of the fundamental problems is to study the eigenvalue problem for the differential operator in geometric analysis. In this article, we introduce the recent developments of the eigenvalue problem for the Finsler Laplacian. M.S.C. 2010: 53C60; 35P30; 35J60.