References in raw/Page_1.html

• Affine arithmetic: concepts and applications
  LH De Figueiredo, J Stolfi - Numerical Algorithms, 2004 - Springer
  ... in affine arithmetic, and explain how to compute with them. In section 4 we discuss examples of how affine arithmetic ... interval arithmetic and affine arithmetic is given in section 5. ...
  

• Implementation and improvements of affine arithmetic
  SM Rump, M Kashiwagi - Nonlinear Theory and Its Applications ..., 2015 - jstage.jst.go.jp
  ... There is a vast literature on affine arithmetic, see [3] and ... In this paper we discuss some improvements of affine arithmetic ... In our affine arithmetic the result can never be worse than ...
  

• Improving interval analysis in finite element calculations by means of affine arithmetic
  D Degrauwe, G Lombaert, G De Roeck - Computers & structures, 2010 - Elsevier
  ... , affine arithmetic has been proposed as an enhancement of interval arithmetic [2]. Affine
  

• An introduction to affine arithmetic
  J Stolfi, LH de Figueiredo - Trends in ..., 2003 - tema.sbmac.emnuvens.com.br
  ... one particular such model, affine arithmetic [5], which has ... Affine arithmetic (AA) is one of several SVC models that were ... for each ideal quantity, affine arithmetic also keeps track of ...
  

• Extentions of Affine Arithmetic: Application to Unconstrained Global Optimization.
  F Messine - J. Univers. Comput. Sci., 2002 - researchgate.net
  ... Some new efficient inclusion functions based on affine arithmetic are presented in this paper. In order to prove that the dependency problem and the clustering problem are strongly ...
  

• An affine arithmetic-based methodology for reliable power flow analysis in the presence of data uncertainty
  A Vaccaro, CA Canizares... - IEEE Transactions on ..., 2009 - ieeexplore.ieee.org
  ... To address this problem, this paper proposes a new solution methodology based on the use of affine arithmetic, which is an enhanced model for self-validated numerical analysis in ...
  

• Minibit: bit-width optimization via affine arithmetic
  DU Lee, AA Gaffar, O Mencer, W Luk - Proceedings of the 42nd annual ..., 2005 - dl.acm.org
  ... In this work, we use a static analysis technique via affine arithmetic [6] to optimize both ... error models for fixed-point designs using affine arithmetic (Section 3). • Range optimization using ...
  

• Toward efficient static analysis of finite-precision effects in DSP applications via affine arithmetic modeling
  CF Fang, RA Rutenbar, M Püschel... - Proceedings of the 40th ..., 2003 - dl.acm.org
  ... 2.2 Affine Arithmetic The modeling tool in this paper is affine arithmetic, which is an efficient ... its predecessor, interval arithmetic, and then emphasize the advantage of affine arithmetic. ...
  

• Sampling procedural shaders using affine arithmetic
  W Heidrich, P Slusallek, HP Seidel - ACM Transactions on Graphics ..., 1998 - dl.acm.org
  ... We first give a brief overview of affine arithmetic in general ... In this paper we use affine
  

• Interval arithmetic, affine arithmetic, Taylor series methods: why, what next?
  NS Nedialkov, V Kreinovich, SA Starks - Numerical Algorithms, 2004 - Springer
  ... In contrast, affine arithmetic also describes the dependence of ... In the above simple example, both Hansen’s and affine arithmetic lead ... In affine arithmetic, we represent the error of each ...