SRC/sgebak.f(3)

okay bestie, welcome to SRC/sgebak.f(3) from the Library Functions Manual πŸ’– this one is giving β€œbackward transformation but make it cute” energy, and yes, every detail is staying.

πŸ’– NAME πŸ’–

SRC/sgebak.f


✨ SYNOPSIS ✨

πŸŽ€ Functions/Subroutines πŸŽ€

subroutine sgebak (job, side, n, ilo, ihi, scale, m, v, ldv, info)
    SGEBAK

πŸ¦‹ Function/Subroutine Documentation πŸ¦‹

subroutine sgebak (character job, character side, integer n, integer ilo,
     integer ihi, real, dimension( * ) scale, integer m, real, dimension(
     ldv, * ) v, integer ldv, integer info)
    SGEBAK

🌸 Purpose 🌸

SGEBAK forms the right or left eigenvectors of a real general matrix by backward transformation on the computed eigenvectors of the balanced matrix output by SGEBAL. That’s the whole assignment, and it ate. πŸ’…

πŸŽ€ Parameters πŸŽ€

  • JOB β€” CHARACTER*1; specifies the type of backward transformation required:
    • = 'N': do nothing, return immediately;
    • = 'P': do backward transformation for permutation only;
    • = 'S': do backward transformation for scaling only;
    • = 'B': do backward transformations for both permutation and scaling.
    • JOB must be the same as the argument JOB supplied to SGEBAL.
  • SIDE β€” CHARACTER*1; tells you what’s in V:
    • = 'R': V contains right eigenvectors;
    • = 'L': V contains left eigenvectors.
  • N β€” INTEGER; the number of rows of the matrix V. N >= 0. row count bestie, respect it.
  • ILO β€” INTEGER.
  • IHI β€” INTEGER; ILO and IHI are the integers determined by SGEBAL. 1 <= ILO <= IHI <= N, if N > 0; ILO=1 and IHI=0, if N=0.
  • SCALE β€” REAL array, dimension (N); details of the permutation and scaling factors, as returned by SGEBAL. receipts from SGEBAL, literally.
  • M β€” INTEGER; the number of columns of the matrix V. M >= 0. columns said hi.
  • V β€” REAL array, dimension (LDV,M); on entry, the matrix of right or left eigenvectors to be transformed, as returned by SHSEIN or STREVC. On exit, V is overwritten by the transformed eigenvectors. glow-up happens in place, no cap.
  • LDV β€” INTEGER; the leading dimension of the array V. LDV >= max(1,N).
  • INFO β€” INTEGER; exit status tea β˜•:
    • = 0: successful exit;
    • < 0: if INFO = -i, the i-th argument had an illegal value.

πŸ‘‘ Author πŸ‘‘

  • Univ. of Tennessee
  • Univ. of California Berkeley
  • Univ. of Colorado Denver
  • NAG Ltd.

Definition at line 128 of file sgebak.f.

🧚 Author 🧚

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