Fast and parallel interval arithmetic
WebApr 14, 2024 · In this paper, we present a library with sequential and parallel functions for computing some of the most important cryptographic characteristics of Boolean and vectorial Boolean functions. The library implements algorithms to calculate the nonlinearity, algebraic degree, autocorrelation, differential uniformity and related tables of vectorial Boolean … WebJan 1, 2024 · Fast And Parallel Interval Arithmetic. Article. Dec 1999; ... Interval arithmetic, parallel computer, BLAS, midpoint-radius, inmum-supremum, AMS subject classications. 65G10 1. Introduction and ...
Fast and parallel interval arithmetic
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WebWe give a survey on packages for multiple precision interval arithmetic, with the main focus on three specific packages. One is a Maple package, intpakX, and two are C/C++ libraries, GMP-XSC and MPFI. ... Rump, S.: Fast and parallel interval arithmetic. BIT 39(3), 534–554 (1999) CrossRef MATH MathSciNet Google Scholar ... WebThe width of an interval is . Example 4.7.1. where represents an arithmetic operation . Using the end points of the two intervals, we can rewrite equation ( 4.42) as follows: …
WebWe review several implementations from prominent C/C++ interval arithmetic packages and analyze their potential failure to deliver the expected results. We then show how to amend them to avoid common pitfalls. ... Fast and parallel interval arithmetic. BIT Numer. Math. 39, 3, 534--554. Google Scholar Cross Ref; S. Rump. 1999b. INTLAB: INTerval ... WebIf we create the interval with the @interval macro or the .., the package will check whether the number is exactly representable in floating point arithmetic and if it is not, it will round down the lower bound and round up the upper bound, ensuring that 0.1 0.1 0. 1 is actually included in the interval.
WebSep 1, 1999 · Therefore, in particular, matrix operations are very fast on almost any computer, with minimal effort for the implementation. Especially, with the new definition it … Web1. INTERVAL MATRIX PRODUCT Rump rst proposed a fast and parallel implementation of interval matrix multiplication based on midpoint-radius in-terval arithmetic [6]. His implementation uses four oating-point matrix products to compute an interval matrix times interval matrix operation. Thus, his implementation of the interval matrix product ...
WebDec 1, 2006 · Fast And Parallel Interval Arithmetic. Article. Dec 1999; Siegfried M. Rump. Inmum-supremum interval arithmetic is widely used because of ease of implementation and narrow results. In this note we ...
WebFast and parallel interval arithmetic (1999) by S M Rump Venue: BIT Numerical Mathematics: Add To MetaCart. Tools. Sorted ... Interval arithmetic delivers … cad リボン 横Webmetic can be made as fast as simple floating-point arithmetic [3]. Nearly everything that is needed for fast interval arithmetic is already available on most existing pro-cessors, thanks to multimedia applications. What is still missing are the arithmetic operations with the directed roundings. Properly developed, interval arithmetic is cad リボン 元に戻すWebevaluate in parallel an interval function for two different domains at the cost of one floating-point evaluation. ... 3 Fast and correct SIMD interval Arithmetic As in JAIL, we propose to use the rounding direction towards +∞ only. An in-terval [a,b] is stored as a pair hb : −ai of double precision floating-point numbers ... cad リボン 表示WebS.M. Rump: Fast and parallel interval arithmetic. BIT Numerical Mathematics, 39(3):539-560, 1999. that the maximum (componentwise) overestimation by the option 'FastIVmult' compared to 'SharpIVmult' is a … cad リボン 追加WebDec 1, 2006 · Fast and parallel interval arithmetic. BIT, 39 (1999), pp. 534-554. View in Scopus Google Scholar [12] G. Wang, Y. Wei, S. Qiao. Generalized Inverses: Theory and Computations. Science Press, Beijing (2004) Google Scholar [13] Y. Wei. Recurrent neural networks for computing weighted Moore–Penrose inverse. cad リボン 消えたWebware costs interval arithmetic can be made almost as fast as simple °oating-point arithmetic. 1 Introduction Interval mathematics has been developed to a high standard over the last few decades. It provides methods which deliver results with guarantees. However, the arithmetic on existing processors makes these methods slow. This paper … cadレイアウトの中にレイアウトWebDec 21, 2011 · Knüppel, O.: PROFIL/BIAS—a fast interval library. Computing 53 , 277–287 (1994) Article MathSciNet MATH Google Scholar cadレイアウトビューポート