Smale's -theory uses estimates related to the convergence of Newton's method to give criteria implying that Newton iterations will converge quadratically to solutions to ...
IEEE 754r is the ongoing revision to the IEEE 754 floating point standard. A major enhancement to the standard is the addition of decimal format, thus the design of BCD arithmetic...
We present two approaches to the problem of calculating a cell in a 3-dimensional arrangement of quadrics. The first approach solves the problem using rational arithmetic. It work...
The floating-point implementation of a function often reduces to a polynomial approximation on an interval. Remez algorithm provides the polynomial closest to the function, but th...
Creating a high throughput sparse matrix vector multiplication (SpMxV) implementation depends on a balanced system design. In this paper, we introduce the innovative SpMxV Solver ...
Junqing Sun, Gregory D. Peterson, Olaf O. Storaasl...