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Keywords
- Bernstein coefficient (1)
- Bernstein coefficients (1)
- Bernstein polynomial (4)
- Bernstein polynomials (1)
- Cauchon algorithm (2)
- Checkerboard ordering (2)
- Checkerboard partial ordering (1)
- Complex interval (2)
- Complex polynomial (2)
- Convex optimization (1)
- Cyclic sign variation (1)
- Enclosure of the range (1)
- Hurwitz matrix (1)
- Interval matrix (2)
- Interval property (1)
- Linear independence (1)
- Matrix interval (2)
- Multivariate complex polynomial (1)
- Multivariate polynomial (1)
- Quasi-stable polynomial (1)
- Range bounding (1)
- Range enclosure (2)
- Rank (1)
- Rational function (1)
- Sign regular matrix (1)
- Sign variation (1)
- Sign-regular matrix (1)
- Stable polynomial (1)
- Subdivision (1)
- Totally nonnegative matrix (3)
- Totally positive matrix (1)
Institute
The expansion of a given multivariate polynomial into Bernstein polynomials is considered. Matrix methods for the calculation of the Bernstein expansion of the product of two polynomials and of the Bernstein expansion of a polynomial from the expansion of one of its partial derivatives are provided which allow also a symbolic computation.