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Utility Functions --- Utilities.h

This file defines some commonly used functions.

Function: MATRIX Inverse (MATRIX A)
Returns an approximation of the inverse of the matrix a.

Function: MATRIX Transpose (MATRIX A)
Returns the matrix a transposed.

Function: MATRIX Id (INT n)
Returns an identity matrix of dimension n.

Function: INTERVAL_VECTOR Lower (INTERVAL_VECTOR x, INT i)
Splits the interval vector x normal to the direction i and returns the lower half.

Function: INTERVAL_VECTOR Upper (INTERVAL_VECTOR x, INT i)
Splits the interval vector x normal to the direction i and returns the upper half.