A new definition is introduced for the matrix geometric mean of a set of k positive definite n×n matrices together with an iterative method for its computation. The iterative method is locally convergent with cubic convergence and requires O(n3k2) arithmetic operations per step whereas the methods based on the symmetrization technique of Ando, Li and Mathias [Linear Algebra Appl., 385 (2004), p...

Propionicacidaemia is an inborn error of organic acid metabolism in which there is a defect in propionyl-CoA carboxylase activity, and a clinical picture of overwhelming illness very early in life which was originally described as ketotic hyperglycinaemia (Childs et al., 1961; Hommes et al., 1968; Hsia et al., 1970). These patients have large amounts of glycine in their blood and urine. They al...

Ando, Matsuzawa, Thom, and Törnquist have resolved a problem by Sorin Popa constructing an example of Polish group unitary operators with the strong operator topology, whose left right uniform structures coincide, but which does not embed into

The purpose of this article is to disclose the hidden architectural proportions and true nature Korean national treasure in Seokguram Grotto, Gyeongju. authors compare its features with those other ancient hypogeal or ashlar constructions intention rediscovering relevant configuration latent structural properties order demonstrate uniqueness. methods employed research belong initially design co...

In the history of Dutch-Japanese relations, Shizuki Tadao is recognised as an extraordinary scholar. However, his translations European books from Dutch into Japanese only paint a partial picture research. fact, he also developed valuable theories on language that allowed to better grasp Dutch. Furthermore, introduced grammatical concepts and terminology in Japan. A lesser-known interest was po...

The clustering method described in this paper is meant to aid the researcher who, for any of a variety of reasons, has clustered a data set a large number of times and is now faced with the problem of reconciling many different clustering results into a single, robust clustering solution. In this paper a clustering method is developed that takes the results of these many data clusterings, prope...

The Kubo–Ando theory deals with connections for positive bounded operators. On the other hand, in various analysis related to von Neumann algebras, it is impossible avoid unbounded In this paper, we try extend a notion of cover classes operators (or objects such as forms and weights) appearing naturally setting must keep all expected properties maintained. This generalization carried out follow...