GenericDecompositionOperations<T>.LUInvert Method

ZGETRI computes the inverse of a matrix using the LU decomposition computed by ZGETRF. This method inverts U and then computes inv(A) by solving the system inv(A)*L = inv(U) for inv(A). Arguments ========= N (input) INTEGER The elementOrder of the matrix A. N >= 0. A (input/output) DOUBLE PRECISION array, dimension (LDA,N) On entry, the factors L and U from the decomposition A = P*L*U as computed by ZGETRF. On exit, if INFO = 0, the inverse of the original matrix A. LDA (input) INTEGER The leading dimension of the array A. LDA >= Max(1,N). IPIV (input) INTEGER array, dimension (N) The pivot indexes from ZGETRF; for 1< =i< =N, row i of the matrix was interchanged with row IPIVi. WORK (workspace/output) DOUBLE PRECISION array, dimension (LWORK) On exit, if INFO =0, then WORK(1) returns the optimal LWORK. LWORK (input) INTEGER The dimension of the array WORK. LWORK >= Max(1,N). For optimal performance LWORK >= N*NB, where NB is the optimal blocksize returned by ILAENV. If LWORK = -1, then a workspace query is assumed; the routine only calculates the optimal size of the WORK array, returns this value as the first entry of the WORK array, and no error message related to LWORK is issued by XERBLA. INFO (output) INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: if INFO = i, U(i,i) is exactly zero; the matrix is singular and its inverse could not be computed.

public override void LUInvert(
	int n,
	Span<T> a,
	int lda,
	Span<int> ipiv,
	out int info
)

Public Overrides Sub LUInvert ( 
	n As Integer,
	a As Span(Of T),
	lda As Integer,
	ipiv As Span(Of Integer),
	<OutAttribute> ByRef info As Integer
)

public:
virtual void LUInvert(
	int n, 
	Span<T> a, 
	int lda, 
	Span<int> ipiv, 
	[OutAttribute] int% info
) override

abstract LUInvert : 
        n : int * 
        a : Span<'T> * 
        lda : int * 
        ipiv : Span<int> * 
        info : int byref -> unit 
override LUInvert : 
        n : int * 
        a : Span<'T> * 
        lda : int * 
        ipiv : Span<int> * 
        info : int byref -> unit 

ZGETRI computes the inverse of a matrix using the LU decomposition computed by ZGETRF. This method inverts U and then computes inv(A) by solving the system inv(A)*L = inv(U) for inv(A). Arguments ========= N (input) INTEGER The elementOrder of the matrix A. N >= 0. A (input/output) DOUBLE PRECISION array, dimension (LDA,N) On entry, the factors L and U from the decomposition A = P*L*U as computed by ZGETRF. On exit, if INFO = 0, the inverse of the original matrix A. LDA (input) INTEGER The leading dimension of the array A. LDA >= Max(1,N). IPIV (input) INTEGER array, dimension (N) The pivot indexes from ZGETRF; for 1< =i< =N, row i of the matrix was interchanged with row IPIVi. WORK (workspace/output) DOUBLE PRECISION array, dimension (LWORK) On exit, if INFO =0, then WORK(1) returns the optimal LWORK. LWORK (input) INTEGER The dimension of the array WORK. LWORK >= Max(1,N). For optimal performance LWORK >= N*NB, where NB is the optimal blocksize returned by ILAENV. If LWORK = -1, then a workspace query is assumed; the routine only calculates the optimal size of the WORK array, returns this value as the first entry of the WORK array, and no error message related to LWORK is issued by XERBLA. INFO (output) INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: if INFO = i, U(i,i) is exactly zero; the matrix is singular and its inverse could not be computed.

public override void LUInvert(
	int n,
	Span<Complex<T>> a,
	int lda,
	Span<int> ipiv,
	out int info
)

Public Overrides Sub LUInvert ( 
	n As Integer,
	a As Span(Of Complex(Of T)),
	lda As Integer,
	ipiv As Span(Of Integer),
	<OutAttribute> ByRef info As Integer
)

public:
virtual void LUInvert(
	int n, 
	Span<Complex<T>> a, 
	int lda, 
	Span<int> ipiv, 
	[OutAttribute] int% info
) override

abstract LUInvert : 
        n : int * 
        a : Span<Complex<'T>> * 
        lda : int * 
        ipiv : Span<int> * 
        info : int byref -> unit 
override LUInvert : 
        n : int * 
        a : Span<Complex<'T>> * 
        lda : int * 
        ipiv : Span<int> * 
        info : int byref -> unit