We examine several matrix layouts based on space-filling curves that allow for a cache-oblivious adaptation of parallel TU decomposition for rectangular matrices over finite fields. The TU algorithm of [11] requires index conversion routines for which the cost to encode and decode the chosen curve is significant. Using a detailed analysis of the number of bit operations required for the encodin...

Morton layout is a compromise storage layout between the programming language mandated layouts row-major and column-major, providing substantial locality of reference when traversed in either direction. This paper explores the performance of Morton, row-major and column-major layouts in detail on some representative architectures. Using a small suite of dense kernels working on two-dimensional ...

Morton Scheinberg1* and Cristiano Campanholo2 1Physician and Research Associate, Hospital Israelita Albert Einstein-Hospital AACD, São Paulo, Brazil 2Department of Medical Sciences, Santa Casa-Hospital Albert Einstein, São Paulo, Brazil *Corresponding author: Morton Scheinberg, Physician and Research Associate, Hospital Israelita Albert Einstein-Hospital AACD, São Paulo, Brazil, Tel: 55-11-9818...

Hierarchically-blocked non-linear storage layouts, such as the Morton ordering, have been shown to be a potentially attractive compromise between row-major and column-major for two-dimensional arrays. When combined with appropriate optimizations, Morton layout offers some spatial locality whether traversed rowor column-wise. However, for linear algebra routines with larger problem sizes, the la...

The use of dental implants to assist in the treatment of partial and complete edentulism is well documented. Most of the implant literature, however, reports results associated with implant survival and success when there has been adherence to rigid placement and loading protocols. Conventionally, these protocols call for the undisturbed healing of the implant—3 months in the mandible and 4 to ...

In an analogy with the Galois homothety property for torsion points of abelian varieties that was used in proof Mordell–Lang conjecture, we describe a correspondence between action group and dynamical rational map. For nonlinear polynomials coefficients, irreducibility associated dynatomic polynomial serves as convenient criterion, although also verify occurs several cases when is reducible. Th...

RICHARD MORTON, the first physician since Galen to envisage a concept of the unity of tuberculosis and the first physician ever to state that tubercles are always present in its pulmonary form, was born in the county of Suffolk and baptised on 30 July 1637 in the parish of Ribbesford, Worcestershire, where his father, Robert Morton, was minister of Bewdley Chapel from 1635 to 1646. Richard Mort...