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Owning Class: linalgebra
Requires: MathScript RT Module
c = pinv(a)
c = pinv(a, tol)
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.
Name | Description |
---|---|
a | Specifies a real rectangular or complex rectangular matrix. |
tol | Specifies the 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, LabVIEW 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. |
Name | Description |
---|---|
c | Returns the pseudoinverse of a. c is a matrix. |
The following table lists the support characteristics of this function.
Supported in the LabVIEW Run-Time Engine | Yes |
Supported on RT targets | Yes |
Suitable for bounded execution times on RT | Not characterized |
A = [1, 0, 1; 0, 0, 4]
C = pinv(A)