Version:

Last Modified: March 15, 2017

Computes the pseudoinverse of a matrix. The m-by-n matrix A^{+} is the pseudoinverse of matrix A if A^{+} satisfies the following four Moore-Penrose conditions:

A A^{+}A = A

A^{+}A A^{+}= A^{+}

A A^{+} is a symmetric matrix.

A ^{+}A is a symmetric matrix.

c = pinv(a)

c = pinv(a, tol)

Real rectangular or complex rectangular matrix.

Tolerance. The number of singular values greater than tol is the rank of a. tol is a real number. The default is -1. If tol is negative, MathScript sets the tolerance using the following equation: tol = max(m, n)*||A||* eps, where A is the input matrix, m is the number of rows in A, n is the number of columns in A, ||A|| is the 2-norm of A, and eps is the smallest, floating-point number such that 1+ eps>1. eps is defined by the following equation: eps= 2^(-52) = 2.22e-16.

Pseudoinverse of a. c is a matrix.

A = [1, 0, 1; 0, 0, 4] C = pinv(A)

**Where This Node Can Run: **

Desktop OS: Windows

FPGA: This product does not support FPGA devices