Interval arithmetic

Results: 138



#Item
11Mathematics / Mathematical analysis / Numerical analysis / Arithmetic / Computer arithmetic / Interval arithmetic / Integral / Interval / Polynomial

Verified Integration of ODEs with Taylor Models Markus Neher Karlsruhe Institute of Technology Institute for Applied and Numerical Mathematics Kaiserstr

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Source URL: conf.nsc.ru

Language: English - Date: 2012-04-29 06:38:11
12Computer arithmetic / Software / Computing / Mathematics / GNU MPFR / Rounding / Interval arithmetic / GNU Multiple Precision Arithmetic Library / Maple / Fixed-point arithmetic / IEEE floating point / TeX

Generating a Minimal Interval Arithmetic Based on GNU MPFR (in the context of the search for hard-to-round cases) Vincent LEFÈVRE Arénaire, INRIA Grenoble – Rhône-Alpes / LIP, ENS-Lyon

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Source URL: www.vinc17.org

Language: English - Date: 2015-06-18 06:12:50
13Mathematics / Mathematical analysis / Numerical analysis / Geometry / Functions and mappings / Affine geometry / Affine arithmetic / Interval arithmetic / Quasigroup / Abstract interpretation / Logarithm / Derivative

Under-approximations of computations in real numbers based on generalized affine arithmetic Eric Goubault and Sylvie Putot CEA-LIST Laboratory for ModEling and Analysis of Systems in Interaction, 91191 Gif-sur-Yvette Ced

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Source URL: www.lix.polytechnique.fr

Language: English - Date: 2009-11-24 06:44:27
14Mathematics / Equations / Polynomials / Numerical analysis / Algebra / Operations research / Global optimization / System of polynomial equations / Mathematical optimization / Linear programming / Constraint satisfaction / Interval arithmetic

A Rigorous Generic Branch and Bound Solver for Nonlinear Problems Andrew P. Smith C´esar A. Mu˜noz and Anthony J. Narkawicz Mantas Markevicius National Institute of Aerospace NASA Langley Research Center

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Source URL: shemesh.larc.nasa.gov

Language: English - Date: 2015-08-18 13:33:42
15Mathematical analysis / Mathematics / Numerical analysis / Algebra / Polynomial / Taylor series / Interval arithmetic

Formal Proofs for Taylor Models in Coq Ioana Paşca LIP, ENS Lyon joint work with Nicolas Brisebarre, Mioara Joldeş, Erik Martin-Dorel, Micaela Mayero, Jean-Michel Muller, Laurence Rideau & Laurent Théry

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Source URL: raim2012.u-bourgogne.fr

Language: English - Date: 2012-07-16 09:24:56
16Mathematical analysis / Mathematics / Arithmetic / Computer arithmetic / Interval arithmetic / Numerical analysis / Inverse trigonometric functions / Boolean algebra / Holomorphic functional calculus

Verification Methods for Dense and Sparse Systems of Equations ∗ S.M. Rump, Hamburg In this paper we describe verification methods for dense and large sparse systems of linear and nonlinear equations. Most of the metho

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Source URL: www.ti3.tu-harburg.de

Language: English - Date: 2005-11-23 04:44:10
17Quantification / Elementary arithmetic / Mathematical logic / Mathematical notation / Integral / Interval / Universal quantification / Equality / Exponentiation / Quantifier / Plus-minus sign / ISO 31-11

Sutra: International Journal of Mathematical Science Education, Vol. 2, No. 1, Useful Mathematical Symbols

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Source URL: www.tmrfindia.org

Language: English - Date: 2009-03-11 10:45:36
18Numerical analysis / Affine geometry / Operations research / Affine arithmetic / Abstract interpretation / Semidefinite programming / Polyhedron / Interval arithmetic / Fixed point

The Zonotope Abstract Domain Taylor1+ Khalil Ghorbal, Eric Goubault, and Sylvie Putot CEA, LIST, Modelisation and Analysis of Systems in Interaction, FGif-sur-Yvette Cedex, France,

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Source URL: www.lix.polytechnique.fr

Language: English - Date: 2009-11-24 06:44:26
19Matrix theory / Numerical linear algebra / Arithmetic / Computer arithmetic / Interval arithmetic / Numerical analysis / Interval / Matrix / Ring

submitted May 18, accepted November 28, 2011, published in Numerical Algorithms 61(1), FAST INTERVAL MATRIX MULTIPLICATION SIEGFRIED M. RUMP ∗

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Source URL: www.ti3.tu-harburg.de

Language: English - Date: 2012-08-20 04:21:05
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