MQL5 ReferenceMatrix and Vector MethodsMatrix Classification

Matrix Classification

The section describes a set of functions for analyzing the structural properties of matrices. These methods allow us to determine whether a matrix is symmetric, Hermitian, diagonal, triangular, trapezoidal, Hessenberg, bidiagonal, or scalar. Such a classification simplifies the selection of efficient algorithms for linear algebra and optimization of computations.

Function	Action
IsSymmetric	Check if a square matrix is symmetric
IsHermitian	Check if a square complex matrix is Hermitian
IsUpperTriangular	Check if a square matrix is upper triangular
IsLowerTriangular	Check if a square matrix is lower triangular
IsTrapezoidal	Check if a rectangular (not square) m-by-n matrix is upper or lower trapezoidal
IsUpperHessenberg	Check if a square matrix is upper Hessenberg matrix
IsLowerHessenberg	Check if a square matrix is lower Hessenberg matrix
IsTridiagonal	Check if a square matrix is tridiagonal
IsUpperBidiagonal	Check if a square matrix is upper bidiagonal
IsLowerBidiagonal	Check if a square matrix is lower bidiagonal
IsDiagonal	Check if a square matrix is diagonal
IsScalar	Check if a square matrix is scalar matrix

Spectrum

IsSymmetric