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Publications by Siegfried M. Rump

Improved Backward Error Bounds for LU and Cholesky Factorizations

SIAM Journal on Matrix Analysis and Applications
Analysis
2014English

Improved Error Bounds for Floating-Point Products and Horner’s Scheme

BIT Numerical Mathematics
Computer NetworksApplied MathematicsSoftwareComputational MathematicsCommunications
2015English

Special Section on Recent Progress in Numerical Verification

Nonlinear Theory and Its Applications, IEICE
2011English

Interval Arithmetic With Fixed Rounding Mode

Nonlinear Theory and Its Applications, IEICE
2016English

Verified Sharp Bounds for the Real Gamma Function Over the Entire Floating-Point Range

Nonlinear Theory and Its Applications, IEICE
2014English

Fast High Precision Summation

Nonlinear Theory and Its Applications, IEICE
2010English

Rigorous Sensitivity Analysis for Systems of Linear and Nonlinear Equations

Mathematics of Computation
Computational MathematicsApplied MathematicsNumber TheoryAlgebra
1990English

Computing Predecessor and Successor in Rounding to Nearest

BIT Numerical Mathematics
Computer NetworksApplied MathematicsSoftwareComputational MathematicsCommunications
2009English

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