fortran-lapack
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la_lapack::spgvd Interface Reference

SPGVD: computes all the eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem, of the form A*x=(lambda)*B*x, A*Bx=(lambda)*x, or B*A*x=(lambda)*x. Here A and B are assumed to be symmetric, stored in packed format, and B is also positive definite. If eigenvectors are desired, it uses a divide and conquer algorithm. The divide and conquer algorithm makes very mild assumptions about floating point arithmetic. It will work on machines with a guard digit in add/subtract, or on those binary machines without guard digits which subtract like the Cray X-MP, Cray Y-MP, Cray C-90, or Cray-2. It could conceivably fail on hexadecimal or decimal machines without guard digits, but we know of none. More...

Public Member Functions

subroutine dspgvd (itype, jobz, uplo, n, ap, bp, w, z, ldz, work, lwork, iwork, liwork, info)
 
 la_dspgvd
 
 la_qspgvd
 
subroutine sspgvd (itype, jobz, uplo, n, ap, bp, w, z, ldz, work, lwork, iwork, liwork, info)
 
 la_sspgvd
 

Detailed Description

SPGVD: computes all the eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem, of the form A*x=(lambda)*B*x, A*Bx=(lambda)*x, or B*A*x=(lambda)*x. Here A and B are assumed to be symmetric, stored in packed format, and B is also positive definite. If eigenvectors are desired, it uses a divide and conquer algorithm. The divide and conquer algorithm makes very mild assumptions about floating point arithmetic. It will work on machines with a guard digit in add/subtract, or on those binary machines without guard digits which subtract like the Cray X-MP, Cray Y-MP, Cray C-90, or Cray-2. It could conceivably fail on hexadecimal or decimal machines without guard digits, but we know of none.

Member Function/Subroutine Documentation

◆ dspgvd()

subroutine la_lapack::spgvd::dspgvd ( integer(ilp), intent(in)  itype,
character, intent(in)  jobz,
character, intent(in)  uplo,
integer(ilp), intent(in)  n,
real(dp), dimension(*), intent(inout)  ap,
real(dp), dimension(*), intent(inout)  bp,
real(dp), dimension(*), intent(out)  w,
real(dp), dimension(ldz,*), intent(out)  z,
integer(ilp), intent(in)  ldz,
real(dp), dimension(*), intent(out)  work,
integer(ilp), intent(in)  lwork,
integer(ilp), dimension(*), intent(out)  iwork,
integer(ilp), intent(in)  liwork,
integer(ilp), intent(out)  info 
)

◆ la_dspgvd()

la_lapack::spgvd::la_dspgvd

◆ la_qspgvd()

la_lapack::spgvd::la_qspgvd

◆ la_sspgvd()

la_lapack::spgvd::la_sspgvd

◆ sspgvd()

subroutine la_lapack::spgvd::sspgvd ( integer(ilp), intent(in)  itype,
character, intent(in)  jobz,
character, intent(in)  uplo,
integer(ilp), intent(in)  n,
real(sp), dimension(*), intent(inout)  ap,
real(sp), dimension(*), intent(inout)  bp,
real(sp), dimension(*), intent(out)  w,
real(sp), dimension(ldz,*), intent(out)  z,
integer(ilp), intent(in)  ldz,
real(sp), dimension(*), intent(out)  work,
integer(ilp), intent(in)  lwork,
integer(ilp), dimension(*), intent(out)  iwork,
integer(ilp), intent(in)  liwork,
integer(ilp), intent(out)  info 
)

The documentation for this interface was generated from the following file: