matrix-division#

Purpose#

Computes the least squares solution to a system of equations, or performs scalar division.

y = b / a

param b:

Right-hand side matrix.

type b:

MxN matrix or scalar

param a:

Coefficient matrix.

type a:

MxK matrix or scalar

return y:

Least squares solution such that a * y ≈ b.

rtype y:

KxN matrix

// Solve Ax = b for x
A = { 1 2,
      3 4 };
b = { 5, 11 };
x = b / A;

x =    1.0000000
       2.0000000

When either operand is a scalar, element-by-element division is performed:

x = { 10, 20, 30 };
y = x / 10;

y =    1.0000000
       2.0000000
       3.0000000

For matrix division, computes the least squares solution using QR decomposition.
If either operand is a scalar, element-by-element division is performed (equivalent to ./).