Title: Duality and Robust Computation
Authors: Skala, Václav
Citation: Recent Researches in Communications and Computers, p. 166-171.
Issue Date: 2012
Publisher: WSEAS
Document type: konferenční příspěvek
conferenceObject
URI: http://hdl.handle.net/11025/11776
ISBN: 978-1-61804-109-8
Keywords: numerická matematika;zpracování numerických dat;dualita;robustnost
Keywords in different language: numerical mathematics;numerical data processing;duality;robustness
Abstract: Robustness of computations in engineering is one of key issues as it is necessary to solve technical problems leading to ill conditioned solutions. Therefore the robustness and numerical stability is becoming a key issue more important that the computational time. In this paper we will show selected computational issues in numerical precision, well known cases of failures in computations. The Euclidean representation is used in today’s computations, however the projective space (an extension of the Euclidean space) representation leads to more compact and robust formulations and to matrix-vector operations supported in hardware, e.g. by GPU.
Rights: Original article published under copyright license: © 2012 WSEAS.
Appears in Collections:Konferenční příspěvky / Conference Papers (KIV)

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