ulab.linalg

Linear algebra functions

ulab.linalg.cholesky(A)

Parameters:A (array) – a positive definite, symmetric square matrix Return ~ulab.array L:  a square root matrix in the lower triangular form Raises:ValueError – If the input does not fulfill the necessary conditions

The returned matrix satisfies the equation m=LL*

ulab.linalg.det()

Param:m, a square matrix Return float:The determinant of the matrix

Computes the eigenvalues and eigenvectors of a square matrix

ulab.linalg.dot(m1, m2)

Parameters:

• m1 (array) – a matrix
• m2 (array) – a matrix

Computes the matrix product of two matrices

WARNING: Unlike numpy, this function cannot be used to compute the dot product of two vectors

ulab.linalg.eig(m)

Parameters:m – a square matrix Return tuple (eigenvectors, eigenvalues):  

Computes the eigenvalues and eigenvectors of a square matrix

ulab.linalg.inv(m)

Parameters:m (array) – a square matrix Returns:The inverse of the matrix, if it exists Raises:ValueError – if the matrix is not invertible

Computes the inverse of a square matrix

ulab.linalg.size(array)

Return the total number of elements in the array, as an integer.

ulab.linalg.trace(m)

Parameters:m – a square matrix

Compute the trace of the matrix, the sum of its diagonal elements.