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 Encyclopedia of Keywords > Glossaries > Glossary of Numerical Analysis > Divided Differences / Michael Charnine

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 DIVIDED DIFFERENCE SERIES POLYNOMIAL
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### Divided DifferenceUpDw('DIVIDED_DIFFERENCE','-Abz-');

1. Divided differences of polynomials are particularly interesting, because they can benefit from the Leibniz rule. (Web site)
2. Instructions#1,2,3 set up a matrix [A] which will contain the divided differences. (Web site)
3. Given n data points with the divided differences can be calculated via forward differences defined as Divided differences - Example.

### SeriesUpDw('SERIES','-Abz-');

1. Consequently we can compute the divided differences of p n by a division of formal power series. (Web site)
2. The Taylor series or any other representation with function series can in principle be used to approximate divided differences. (Web site)
3. The limit of the Newton polynomial if all nodes coincide is a Taylor polynomial, because the divided differences become derivatives. (Web site)

### PolynomialUpDw('POLYNOMIAL','-Abz-');

1. In mathematics divided differences is a recursive division process.
2. This is called the Peano form of the divided differences and B n -1 is called the Peano kernel for the divided differences. (Web site)
3. The method of divided differences can be used to calculate the coefficients in the interpolation polynomial in the Newton form. (Web site)
4. They are easier to calculate then the more general divided differences. (Web site)
5. Furthermore if the x i are distributed equidistantly the calculation of the divided differences becomes significantly easier. (Web site)
6. Books about "Divided Differences" in Amazon.com  Short phrases about "Divided Differences"   Originally created: March 20, 2008.   Links checked: April 04, 2013.   Please send us comments and questions by this Online Form   Please click on to move good phrases up.
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