Rounding Error Analysis of Elementary Numerical Algorithms

Computing Supplementum - Fundamentals of Numerical Computation (Computer-Oriented Numerical Analysis) ◽

10.1007/978-3-7091-8577-3_13 ◽

1980 ◽

pp. 169-195 ◽

Author(s):

F. Stummel

Keyword(s):

Error Analysis ◽

Numerical Algorithms ◽

Rounding Error ◽

Rounding Error Analysis

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Rounding error analysis of the triangular lattice and escalator algorithms

Electronics and Communications in Japan (Part I Communications) ◽

10.1002/ecja.4410710402 ◽

1988 ◽

Vol 71 (4) ◽

pp. 15-25

Author(s):

Youji Iiguni ◽

Hideaki Sakai ◽

Hidekatsu Tokumaru

Keyword(s):

Error Analysis ◽

Triangular Lattice ◽

Rounding Error ◽

Rounding Error Analysis

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Rounding error analysis of divided differences schemes: Newton’s divided differences; Neville’s algorithm; Richardson extrapolation; Romberg quadrature; etc.

Numerical Algorithms ◽

10.1007/s11075-019-00828-1 ◽

2019 ◽

Vol 85 (2) ◽

pp. 591-606

Author(s):

André Pierro de Camargo

Keyword(s):

Error Analysis ◽

Richardson Extrapolation ◽

Divided Differences ◽

Rounding Error ◽

Rounding Error Analysis

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Rounding error analysis of the classical Gram-Schmidt orthogonalization process

Numerische Mathematik ◽

10.1007/s00211-005-0615-4 ◽

2005 ◽

Vol 101 (1) ◽

pp. 87-100 ◽

Author(s):

Luc Giraud ◽

Julien Langou ◽

Miroslav Rozložník ◽

Jasper van den Eshof

Keyword(s):

Error Analysis ◽

Rounding Error ◽

Rounding Error Analysis ◽

Schmidt Orthogonalization

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Rounding Error Analysis for the Evaluation of a Polynomial and Some of Its Derivatives

SIAM Journal on Numerical Analysis ◽

10.1137/0711064 ◽

1974 ◽

Vol 11 (4) ◽

pp. 780-787 ◽

Author(s):

H. Woźniakowski

Keyword(s):

Error Analysis ◽

Rounding Error ◽

Rounding Error Analysis

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Rounding error analysis of two-stage iterative methods for large linear systems

Applied Mathematics and Computation ◽

10.1016/s0096-3003(02)00201-1 ◽

2003 ◽

Vol 139 (2-3) ◽

pp. 371-381 ◽

Author(s):

Zhi-Hao Cao

Keyword(s):

Error Analysis ◽

Linear Systems ◽

Iterative Methods ◽

Rounding Error ◽

Two Stage ◽

Rounding Error Analysis ◽

Large Linear Systems

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Schur complement reduction in the mixed-hybrid approximation of Darcy's law: rounding error analysis

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(99)00344-1 ◽

2000 ◽

Vol 117 (2) ◽

pp. 159-173 ◽

Author(s):

J. Maryška ◽

M. Rozložnı́k ◽

M. Tůma

Keyword(s):

Error Analysis ◽

Darcy’S Law ◽

Schur Complement ◽

Darcy's Law ◽

Rounding Error ◽

Rounding Error Analysis ◽

Hybrid Approximation

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Rounding error analysis of Horner's scheme

Computing ◽

10.1007/bf02242136 ◽

1983 ◽

Vol 30 (4) ◽

pp. 285-303 ◽

Author(s):

K. H. Müller

Keyword(s):

Error Analysis ◽

Rounding Error ◽

Rounding Error Analysis

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Rounding error analysis of interpolation procedures

Computing ◽

10.1007/bf02243078 ◽

1984 ◽

Vol 33 (1) ◽

pp. 83-87 ◽

Author(s):

G. Brügner

Keyword(s):

Error Analysis ◽

Rounding Error ◽

Rounding Error Analysis

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Rounding Error Analysis of Finite Settling Time Control with Floating Point Arithmetic

Transactions of the Society of Instrument and Control Engineers ◽

10.9746/sicetr1965.20.36 ◽

1984 ◽

Vol 20 (1) ◽

pp. 36-42

Author(s):

Keiji HASHIMOTO ◽

Hidenori KIMURA

Keyword(s):

Error Analysis ◽

Settling Time ◽

Floating Point ◽

Rounding Error ◽

Rounding Error Analysis ◽

Floating Point Arithmetic ◽

Time Control ◽

Point Arithmetic

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Inner product rounding error analysis in the presence of underflow

Computing ◽

10.1007/bf02251835 ◽

1985 ◽

Vol 34 (4) ◽

pp. 365-373

Author(s):

A. Neumaier

Keyword(s):

Error Analysis ◽

Inner Product ◽

Rounding Error ◽

Rounding Error Analysis

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