Interval Analysis and Machine Arithmetic

A Interval Analysis and Machine Arithmetic: Why Signedness Ignorance is Bliss

addition and subtraction and also how multiplication by a constant can be handled efficiently. Again, a claim that clockwise intervals form a lattice cannot be correct. Gotlieb et al. [2010] assume unsigned representation and general multiplication and bitwise operations are not discussed. The paper presents the unsigned case only and does not address the issues that arise when signedness infor...

Interval Arithmetic in Power Flow Analysis

The power flow is the fundamental tool for the study of power systems. The data for this problem are subject to uncertainty. This paper uses interval withmetic to solve the power flow problem. Interval arithmetic takes into consideration the uncertainty of the nodal information, and is able to provide strict bounds for the solutions to the problem: all possible solutions are included within the...

Interval Arithmetic and Standardization

Interval arithmetic is arithmetic for continuous sets. Floating-point intervals are intervals of real numbers with floating-point bounds. Operations for intervals can be efficiently implemented. Hence, the time is ripe for standardization. In this paper we present an interval model that is mathematically sound and closed for the 4 basic operations. The model allows for exception free interval a...

Interval Arithmetic and Standardization

Interval arithmetic is arithmetic for continuous sets. Floating-point intervals are intervals of real numbers with floating-point bounds. Operations for intervals can be efficiently implemented. Hence, the time is ripe for standardization. In this paper we present an interval model that is mathematically sound and closed for the 4 basic operations. The model allows for exception free interval a...

Fast and Parallel Interval Arithmetic