f01vh unpacks a complex triangular matrix, stored in Rectangular Full Packed (RFP) format, to full format in a two-dimensional array.

Syntax

C#
public static void f01vh(
	string transr,
	string uplo,
	int n,
	Complex[] arf,
	Complex[,] a,
	out int info
)
Visual Basic
Public Shared Sub f01vh ( _
	transr As String, _
	uplo As String, _
	n As Integer, _
	arf As Complex(), _
	a As Complex(,), _
	<OutAttribute> ByRef info As Integer _
)
Visual C++
public:
static void f01vh(
	String^ transr, 
	String^ uplo, 
	int n, 
	array<Complex>^ arf, 
	array<Complex,2>^ a, 
	[OutAttribute] int% info
)
F#
static member f01vh : 
        transr : string * 
        uplo : string * 
        n : int * 
        arf : Complex[] * 
        a : Complex[,] * 
        info : int byref -> unit 

Parameters

transr
Type: System..::..String
On entry: specifies whether the normal RFP representation of A or its conjugate transpose is stored.
transr="N"
The matrix A is stored in normal RFP format.
transr="C"
The conjugate transpose of the RFP representation of the matrix A is stored.
Constraint: transr="N" or "C".
uplo
Type: System..::..String
On entry: specifies whether A is upper or lower triangular.
uplo="U"
A is upper triangular.
uplo="L"
A is lower triangular.
Constraint: uplo="U" or "L".
n
Type: System..::..Int32
On entry: n, the order of the matrix A.
Constraint: n0.
arf
Type: array<NagLibrary..::..Complex>[]()[][]

[Missing <param name="arf"/> documentation for "M:NagLibrary.F01.f01vh(System.String,System.String,System.Int32,NagLibrary.Complex[],NagLibrary.Complex[0:,0:],System.Int32@)"]

a
Type: array<NagLibrary..::..Complex,2>[,](,)[,][,]
An array of size [dim1, dim2]
Note: dim1 must satisfy the constraint: dim1max1,n
Note: the second dimension of the array a must be at least n.
On exit: the triangular matrix A.
  • If uplo="U", A is upper triangular and the elements of the array below the diagonal are not referenced.
  • If uplo="L", A is lower triangular and the elements of the array above the diagonal are not referenced.
info
Type: System..::..Int32%
On exit: info=0 unless the method detects an error (see [Error Indicators and Warnings]).

Description

f01vh unpacks a complex n by n triangular matrix A, stored in RFP format to conventional storage in a two-dimensional array. This method is intended for possible use in conjunction with methods from f06 f07 f16 where some methods that use triangular matrices store them in RFP format. The RFP storage format is described in recomm_32a in f07.

References

Gustavson F G, Waśniewski J, Dongarra J J and Langou J (2010) Rectangular full packed format for Cholesky's algorithm: factorization, solution, and inversion ACM Trans. Math. Software 37, 2

Error Indicators and Warnings

Some error messages may refer to parameters that are dropped from this interface (LDA) In these cases, an error in another parameter has usually caused an incorrect value to be inferred.
info<0
If info=-i, argument i had an illegal value. An explanatory message is output, and execution of the program is terminated.
ifail=-9000
An error occured, see message report.
ifail=-6000
Invalid Parameters value
ifail=-4000
Invalid dimension for array value
ifail=-8000
Negative dimension for array value
ifail=-6000
Invalid Parameters value

Accuracy

Not applicable.

Parallelism and Performance

None.

Further Comments

None.

Example

This example reads in a triangular matrix in RFP format and unpacks it to full format.

Example program (C#): f01vhe.cs

Example program data: f01vhe.d

Example program results: f01vhe.r

See Also