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pinv

Version:
    Last Modified: January 9, 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.

    Syntax

    c = pinv(a)
    c = pinv(a, tol)

    Inputs

    a

    Real rectangular or complex rectangular matrix.

    tol

    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.

    Outputs

    c

    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: Not supported


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