ulab.linalg

Linear algebra functions

ulab.linalg.size(array)

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

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.dot(m1, m2)

Parameters

• m1 (array) – a matrix, or a vector

• m2 (array) – a matrix, or a vector

Computes the product of two matrices, or two vectors. In the letter case, the inner product is returned.

ulab.linalg.det()

Param

m, a square matrix

Return float

The determinant of the matrix

ulab.linalg.eig(m)

Parameters

m – a square matrix

Return tuple (eigenvectors, eigenvalues)

Computes the eigenvalues and eigenvectors of a square matrix

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.trace(m)

Parameters

m – a square matrix

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