palisades.lakes.bench.java.spaces.linear

Interface Vector

All Known Implementing Classes:

B2, D2, F2, I2, L2, S2

public interface Vector

Interface for elements of real linear (aka vector) spaces. A space is linear if it's closed under linear combinations: a*x + b*y where a and b are numbers and x and y are Vector.

Since:

2017-08-22

Version:

2017-09-05

Author:

palisades dot lakes at gmail dot com

Method Summary

Modifier and Type	Method and Description
double	l1Norm() Here as a convenience.
Vector	linearCombination(Number a0, Number a1, Vector v1) Almost certainly would want scalars to be primitive, not Object references.

Method Detail

l1Norm

double l1Norm()

Here as a convenience. Doesn't belong in a vector interface, because same vector can be in many different normed spaces.

linearCombination

Vector linearCombination(Number a0,
                         Number a1,
                         Vector v1)

Almost certainly would want scalars to be primitive, not Object references. And implementation might depend on coordinate type of Vectors, so potentially 6x6x6x6=1296 methods, more if high precision (BigInteger, Rational) reference types are included.

Here as a convenience. Doesn't belong in a vector interface, because same vector can be in many different linear spaces, with differing interpretations of linear combination.