ILNumerics Ultimate VSILMathlinsolveTriUp 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, upper triangular matrix.

[ILNumerics Computing Engine]

Namespace: ILNumerics
Assembly: ILNumerics.Computing (in ILNumerics.Computing.dll) Version: 5.3.0.0 (5.3.7131.2749)
Syntax

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

Parameters

A
Type: ILNumericsInArraycomplex
Input matrix. Size [n,n]. Upper triangular. No check is made for that!
B
Type: ILNumericsInArraycomplex
Right hand side vector /matrix. Size [n,m].
singularityDetect
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].
Remarks

The solution is determined via backward 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 known, matching matrices, since it saves some checks on them which are otherwise automatically performed by linsolve(InArraycomplex, InArraycomplex, MatrixProperties, Boolean).

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

If A is singular the array returned contains NaN values.

[ILNumerics Computing Engine]

See Also

Reference