SIAM Journal on Matrix Analysis and Applications · 2008 · 10 citations · 8 references
Natural SciencesComputer ScienceMathematicsAlgorithmsMathematical ProgrammingNumerical AlgorithmsNumerical AnalysisNumerical IntegrationNumerical Linear AlgebraNumerical Methods For Differential EquationsCholesky DecompositionInterval AnalysisInterval ArithmeticInterval Estimation
We present some new criteria for the feasibility of the interval Cholesky method. In particular, we relate this feasibility to that of the interval Gaussian algorithm.MSC codes65G2065G30Keywordslinear interval equationsCholesky methodinterval Cholesky algorithmGaussian algorithminterval Gaussian algorithmlinear system of equationscriteria of feasibility
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Numerical Analysis, A Second Course
C. W. de Boor, James M. Ortega · Mathematics of Computation · 1973 · 564 citations
The Cholesky method for interval data
G. Alefeld, G. Mayer · Linear Algebra and its Applications · 1993 · 50 citations
On the Applicability of the Interval Gaussian Algorithm
Günter Mayer · Reliable Computing · 1998 · 18 citations