INTLABが引用している主な文献

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INTLABが引用している主な文献

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「INTLAB」の記事における「INTLABが引用している主な文献」の解説

INTLABが引用している主な文献一覧はContents.mに掲載されている。 S.M. Rump: Fast and Parallel Interval Arithmetic, en:BIT Numerical Mathematics 39(3), 539-560, 1999. S. Oishi, S.M. Rump: Fast verification of solutions of matrix equations, en:Numerische Mathametik 90, 755-773, 2002. T. Ogita, S.M. Rump, and S. Oishi. Accurate Sum and Dot Product, en:SIAM Journal on Scientific Computing (SISC), 26(6):1955-1988, 2005. S.M. Rump, T. Ogita, and S. Oishi. Fast High Precision Summation. Nonlinear Theory and Its Applications (NOLTA), IEICE, 1(1), 2010. S.M. Rump: Ultimately Fast Accurate Summation, en:SIAM Journal on Scientific Computing (SISC), 31(5):3466-3502, 2009. S.M. Rump, T. Ogita, and S. Oishi: Accurate Floating-point Summation I: Faithful Rounding. en:SIAM Journal on Scientific Computing (SISC), 31(1): 189-224, 2008. S.M. Rump, T. Ogita, and S. Oishi: Accurate Floating-point Summation II: Sign, K-fold Faithful and Rounding to Nearest. en:SIAM Journal on Scientific Computing (SISC), 31(2):1269-1302, 2008. S.M. Rump: Ultimately Fast Accurate Summation, en:SIAM Journal on Scientific Computing (SISC), 31(5):3466-3502, 2009. S.M. Rump. Accurate solution of dense linear systems, Part II: Algorithms using directed rounding. en:Journal of Computational and Applied Mathematics (JCAM), 242:185-212, 2013. S.M. Rump. Verified Bounds for Least Squares Problems and Underdetermined Linear Systems. en:SIAM Journal of Matrix Analysis and Applications (SIMAX), 33(1):130-148, 2012. S.M. Rump: Improved componentwise verified error bounds for least squares problems and underdetermined linear systems, Numerical Algorithms, 66:309-322, 2013. R. Krawzcyk, A. Neumaier: Interval slopes for rational functions and associated centered forms, en:SIAM Journal of Numerical Analysis 22, 604-616 (1985) S.M. Rump: Expansion and Estimation of the Range of Nonlinear Functions, en:Mathematics of Computation 65(216), pp. 1503-1512, 1996.