Other operations on general matrices

Singular value decomposition
Singular value decomposition

Schur decomposition
Schur decomposition

Determinant
Calculation of the determinant

Update of the inverse matrix by the Sherman-Morrison formula
Update of the inverse matrix by the Sherman-Morrison formula

Reduction of a general matrix to bidiagonal form
Reduction of a general matrix to bidiagonal form by the orthogonal transformation

Reduction of a square matrix to upper Hessenberg form
Reduction of a square matrix to upper Hessenberg form by the orthogonal transformation