ILNumerics Ultimate VSILMathlinsolveTriLow Method (InArraycomplex, InArraycomplex, Int32)ILNumerics Ultimate VS Documentation
ILNumerics - Technical Application Development
Solve system of linear equations A*x = B, with A being a square, lower triangular matrix.

[ILNumerics Computing Engine]

Namespace: ILNumerics
Assembly: ILNumerics.Computing (in ILNumerics.Computing.dll) Version: (5.3.7131.2749)

public static RetArray<complex> linsolveTriLow(
	InArray<complex> A,
	InArray<complex> B,
	ref int singularityDetect


Type: ILNumericsInArraycomplex
Input matrix. Size [n,n]. Lower triangular. No check is made for that!
Type: ILNumericsInArraycomplex
Right hand side vector /matrix. Size [n,m].
Type: SystemInt32
[Output] This value gives the row of A, where a singularity has been detected (if any). If A is not singular, this will return a negative value.

Return Value

Type: RetArraycomplex
Solution x solving A * x = B. Size [n,m].

The solution is determined via forward substitution by using a native LAPACK module.

Make sure, A and B are of correct size, since no checks are made for that!

This function is used by linsolve(InArraycomplex, InArraycomplex, MatrixProperties, Boolean). It can speed up the computation for matrices of known, matching properties since it saves some checks on them which are otherwise automatically performed by linsolve(InArraycomplex, InArraycomplex, MatrixProperties, Boolean).

Any elements of A located above the main diagonal will be ignored.

If A is singular the array returned contains NaN values.

[ILNumerics Computing Engine]

See Also