Interval Arithmetic. In this section, we briefly explain
interval arithmetic and notion.
Some Properties of the
Interval Arithmetic Operations.
In [14], particle swarm optimization (PSO) technique is combined with
interval arithmetic to realize array synthesis in the presence of array excitation amplitude error.
The values of [[epsilon].sub.L.sub.i] and [[epsilon].sub.U.sub.i] can be determined using
interval arithmetic (defined in Section 2).
The canonical self-validated computation model is
interval arithmetic. Several other models have been designed to produce more accurate error estimates, usually by storing more information about the computed quantities and how they relate to the input data.
The enclosure property (1.4) carries over to expressions: If r([x.sub.1],...,[x.sub.n]) is an arithmetic expression in the variables [x.sub.1],..., [x.sub.n], then its
interval arithmetic evaluation r([x.sub.1],..., [x.sub.n]), an interval, contains the range of r for
Interval extensions are functions where
interval arithmetic is applied to calculate results.
Yang (2004) Fuzzy AHP based on the (A) Confidence interval fuzzy
interval arithmetic and geometric mean and confidence levels with approach express the interval mean approach.
Papers from a June 2009 symposium are presented here, in sections on algorithms and number systems, arithmetic hardware, finite fields and cryptography, mathematical software, decimal hardware, floating-point techniques, decimal transcendents, automated synthesis of arithmetic operations, decimal arithmetic in industry, and
interval arithmetic. Specific topics covered include polynomial multiplication over finite fields using field extensions and interpolation, fast and accurate Bessel function computation, certified and fast computation of supremum norms of approximation errors, and computation of decimal transcendental functions using the CORDIC algorithm.
The possibility of estimating bounds for this econometric likelihood function by balanced random
interval arithmetic is experimentally investigated in (Zilinskas and Bogle 2006).