Numerical data processing is a key task across different fields of computer technology use. However, even simple summation of values is not precise due to the floating point representation use. This paper presents a practical algorithm for summation of values convenient for medium and large data sets. The proposed algorithm is simple, easy to implement. Its computational complexity is O(N) in the contrary of the Exact Sign Summation Algorithm (ESSA) approach with O(N^2) run-time complexity. The proposed algorithm is especially convenient for cases when exponent data differ significantly and many small values are summed with higher valuesComment: 9 pages, 3 Figs, 3 Tabs. Presented at Recent Advances in Computer Science Conf, 201
This paper presents a study of some basic blocks needed in the design of floating-point summation al...
National audienceOn modern multi-core, many-core, and heterogeneous architectures, floating-point co...
AbstractAn algorithm is presented for computer summation of imprecise numbers that may have quite di...
Numerical data processing is a key task across different fields of computer technology use. However ...
Nowadays, parallel computing is ubiquitous in several application fields, both in engineering and sc...
AbstractSummation is a basic operation in scientific computing; furthermore division-free arithmetic...
Abstract. Given a vector of floating-point numbers with exact sum s, we present an algorithm for cal...
. The usual recursive summation technique is just one of several ways of computing the sum of n floa...
Abstract. Given a vector pi of floating-point numbers with exact sum s, we present a new algorithm w...
Algorithms for summation and dot product of floating point numbers are presented which are fast in t...
The summation of n floating-point numbers is ubiquitous in numerical computations. We present a new ...
Abstract. In this Part II of this paper we first refine the analysis of error-free vector transforma...
International audienceFloating-point (FP) addition is non-associative and parallel reduction involvi...
The problem of exactly summing n floating-point numbers is a fundamental problem that has many appli...
Abstract. The addition of two or more floating-point numbers is fundamental to numerical computation...
This paper presents a study of some basic blocks needed in the design of floating-point summation al...
National audienceOn modern multi-core, many-core, and heterogeneous architectures, floating-point co...
AbstractAn algorithm is presented for computer summation of imprecise numbers that may have quite di...
Numerical data processing is a key task across different fields of computer technology use. However ...
Nowadays, parallel computing is ubiquitous in several application fields, both in engineering and sc...
AbstractSummation is a basic operation in scientific computing; furthermore division-free arithmetic...
Abstract. Given a vector of floating-point numbers with exact sum s, we present an algorithm for cal...
. The usual recursive summation technique is just one of several ways of computing the sum of n floa...
Abstract. Given a vector pi of floating-point numbers with exact sum s, we present a new algorithm w...
Algorithms for summation and dot product of floating point numbers are presented which are fast in t...
The summation of n floating-point numbers is ubiquitous in numerical computations. We present a new ...
Abstract. In this Part II of this paper we first refine the analysis of error-free vector transforma...
International audienceFloating-point (FP) addition is non-associative and parallel reduction involvi...
The problem of exactly summing n floating-point numbers is a fundamental problem that has many appli...
Abstract. The addition of two or more floating-point numbers is fundamental to numerical computation...
This paper presents a study of some basic blocks needed in the design of floating-point summation al...
National audienceOn modern multi-core, many-core, and heterogeneous architectures, floating-point co...
AbstractAn algorithm is presented for computer summation of imprecise numbers that may have quite di...