A matricial description of Neville elimination with applications to total positivity
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Publication:1329923
DOI10.1016/0024-3795(94)90183-XzbMath0804.65028WikidataQ127109911 ScholiaQ127109911MaRDI QIDQ1329923
Mariano Gasca, Juan Manuel Peña
Publication date: 15 August 1994
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
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Cites Work
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- Corner cutting algorithms for the Bézier representation of free form curves
- Total positivity and Neville elimination
- Almost strictly totally positive matrices
- Some properties of totally positive matrices
- Backward error analysis for totally positive linear systems
- Totally positive matrices
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