Singular Manual: interval_lib

> | ### D.8.2 interval_lib Library: interval.lib Purpose: implements interval arithmetic on polynomials Authors: Dominik Bendle Clara Petroll Overloads: // intervals [ intervalGet indexing = intervalAssign assigning == intervalEqual equality print intervalPrint pretty print + intervalAdd addition - intervalNegate negation (unary) - intervalSubtract subtraction * intervalMultiply multiplication / intervalDivide division ^ intervalPotentiate potentiation // boxes = boxSet assigning [ boxGet indexing == boxEqual equality print boxPrint printing - boxSubtract subtraction intersect boxIntersect intersection // intervalmatrices [ ivmatGet indexing print ivmatPrint printing nrows ivmatNrows number of rows ncols ivmatNcols number of columns det determinant determinant * ivmatMultiply matrix multiplication Procedures:
> D.8.2.1 length2 |  | length/size if interval
> D.8.2.2 bounds2 |  | construct interval for given bounds.
> D.8.2.3 intervalmatrixInit |  | initialises an interval matrix
> D.8.2.4 unitMatrix2 |  | unit matrix
> D.8.2.5 applyMatrix |  | apply matrix to box
> D.8.2.6 ivmatGaussian2 |  | Gaussian elimination on matrices
> D.8.2.7 evalPolyAtBox2 |  | evaluate interval extension of polynomial
> D.8.2.8 exclusionTest |  | first version of our exclusion test
See also: rootisolation_lib.

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