6533b821fe1ef96bd127c0c1
RESEARCH PRODUCT
Residuenabschätzung für Polynom-Nullstellen mittels Lagrange-Interpolation
Wolfgang Börsch-supansubject
Computational Mathematicssymbols.namesakeApplied MathematicsNumerical analysisMathematical analysisLagrange polynomialsymbolsApplied mathematicsMultiplicity (mathematics)Wilkinson's polynomialMathematicsdescription
If, for each zero of a polynomial, an approximation is known, estimates for the errors of these approximations are given, based on the evaluation of the polynomial at these points. The procedure can be carried over to the case of multiple roots and root clusters using derivatives up to the orderk - 1, wherek is the multiplicity of the cluster.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1970-02-01 | Numerische Mathematik |