Floating-point summation is one of the most important operations in scientific/numerical computing applications and also a basic subroutine (SUM) in BLAS (Basic Linear Algebra Sub...
We consider the problem of sparse interpolation of a multivariate black-box polynomial in floating-point arithmetic. That is, both the inputs and outputs of the black-box polynomia...
We propose several algorithms and provide some related results that make it possible to implement decimal floating-point arithmetic on a processor that does not have decimal opera...
We give the results of our search for the worst cases for correct rounding of the major elementary functions in double precision floating-point arithmetic. These results allow the...
Floating-point arithmetic is an important source of errors in programs because of the loss of precision arising during a computation. Unfortunately, this arithmetic is not intuitiv...
A brief description is provided of the decimal floating-point support available for Intel® Architecture processors, compliant with the IEEE Standard 754-2008 for Floating-Point A...