isGEQ -- compare two points

Synopsis

• Usage:
b = isGEQ(x,y)
• Inputs:
• x, or a list of complex (floating point) numbers
• y, or a list of complex (floating point) numbers
• Optional inputs:
• Tolerance => ..., default value .000001, the tolerance of a numerical computation
• Outputs:
• b, tells if x is (approximately) greater or equal than y

Description

The inputs are lists of complex numbers, the order is (approximately) lexicographic: regard each complex n-vector as real 2n-vector, for the corresponding coordinates a and b (of two real 2n-vectors) a < b if b-a is larger than Tolerance.

 i1 : isGEQ({1,1,1},{1,0,2}) o1 = true i2 : isGEQ({1,1e-7},{1, 0}) o2 = true