In this paper, we import interval method to the iteration for computing Moore-Penrose inverse of the full row (or column) rank matrix. Through modifying the classical Newton iteration by interval method, we can get better numerical results. The convergence of the interval iteration is proven. We also give some numerical examples to compare interval iteration with classical Newton iteration.

This paper discusses the combination of interval methods for solving nonlinear systems, and focuses on interval-based local consistencies and the multidimensional interval Newton method. The existing algorithms are revised in order to introduce a more cooperative strategy of application of elementary solvers that may prevent slow convergence phenomena and unnecessary computations. A set of expe...

We discuss one known and five new interrelated methods for bounding the hull of the solution set of a system of interval linear equations. Each method involves a polynomial amount of computing; but requires considerably more effort than Gaussian elimination. However, each method can yield sharper results for appropriate problems. For certain problems, our methods can obtain sharp bounds for one...

This paper discuss practical issues and implementation details on improving e ciency of ray intersection calculations of implicit surfaces using interval analysis. We examine two methods of improving the basic method described in [8]: a new technique for calculating intervals along a ray; and a method for spatial pruning based on the work in [7]. Comparisons are drawn between the di erent techn...

OBJECTIVES To test the association of age (adolescents vs. older women) and place of delivery with receipt of immediate postpartum contraception in Mexico. STUDY DESIGN Retrospective cohort study, Mexico, nationally representative sample of women 12-39years old at last delivery. We used multivariable logistic regression to test the association of self-reported receipt of postpartum contracept...