DecompositionOperations<TReal, TComplex>.SymmetricTridiagonalEigenvalueDecompose Method

public abstract void SymmetricTridiagonalEigenvalueDecompose(
	char compz,
	int n,
	Span<TReal> d,
	Span<TReal> e,
	Span<TReal> z,
	int ldz,
	out int info
)

Public MustOverride Sub SymmetricTridiagonalEigenvalueDecompose ( 
	compz As Char,
	n As Integer,
	d As Span(Of TReal),
	e As Span(Of TReal),
	z As Span(Of TReal),
	ldz As Integer,
	<OutAttribute> ByRef info As Integer
)

public:
virtual void SymmetricTridiagonalEigenvalueDecompose(
	wchar_t compz, 
	int n, 
	Span<TReal> d, 
	Span<TReal> e, 
	Span<TReal> z, 
	int ldz, 
	[OutAttribute] int% info
) abstract

abstract SymmetricTridiagonalEigenvalueDecompose : 
        compz : char * 
        n : int * 
        d : Span<'TReal> * 
        e : Span<'TReal> * 
        z : Span<'TReal> * 
        ldz : int * 
        info : int byref -> unit 

Parameters

compz  Char

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COMPZ is CHARACTER*1
= 'N':  Compute eigenvalues only.
= 'V':  Compute eigenvalues and eigenvectors of the original
        symmetric matrix.  On entry, Z must contain the
        orthogonal matrix used to reduce the original matrix
        to tridiagonal form.
= 'I':  Compute eigenvalues and eigenvectors of the
        tridiagonal matrix.  Z is initialized to the identity
        matrix.

n  Int32

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N is INTEGER
The order of the matrix.  N >= 0.

d  Span<TReal>

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D is DOUBLE PRECISION array, dimension (N)
On entry, the diagonal elements of the tridiagonal matrix.
On exit, if INFO = 0, the eigenvalues in ascending order.

e  Span<TReal>

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E is DOUBLE PRECISION array, dimension (N-1)
On entry, the (n-1) subdiagonal elements of the tridiagonal
matrix.
On exit, E has been destroyed.

z  Span<TReal>

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Z is DOUBLE PRECISION array, dimension (LDZ, N)
On entry, if  COMPZ = 'V', then Z contains the orthogonal
matrix used in the reduction to tridiagonal form.
On exit, if INFO = 0, then if  COMPZ = 'V', Z contains the
orthonormal eigenvectors of the original symmetric matrix,
and if COMPZ = 'I', Z contains the orthonormal eigenvectors
of the symmetric tridiagonal matrix.
If COMPZ = 'N', then Z is not referenced.

ldz  Int32

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LDZ is INTEGER
The leading dimension of the array Z.  LDZ >= 1, and if
eigenvectors are desired, then  LDZ >= max(1,N).

info  Int32

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INFO is INTEGER
= 0:  successful exit
< 0:  if INFO = -i, the i-th argument had an illegal value
> 0:  the algorithm has failed to find all the eigenvalues in
      a total of 30*N iterations; if INFO = i, then i
      elements of E have not converged to zero; on exit, D
      and E contain the elements of a symmetric tridiagonal
      matrix which is orthogonally similar to the original
      matrix.

The eigenvectors of a full or band symmetric matrix can also be found
if DSYTRD or DSPTRD or DSBTRD has been used to reduce this matrix to
tridiagonal form.

Authors: Univ. of Tennessee, Univ. of California Berkeley, Univ. of Colorado Denver, NAG Ltd.

Reference