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- DGEBAK - form the right or left eigenvectors of a real general matrix by
- backward transformation on the computed eigenvectors of the balanced
- matrix output by DGEBAL
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- SUBROUTINE DGEBAK( JOB, SIDE, N, ILO, IHI, SCALE, M, V, LDV, INFO )
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- CHARACTER JOB, SIDE
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- INTEGER IHI, ILO, INFO, LDV, M, N
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- DOUBLE PRECISION SCALE( * ), V( LDV, * )
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- These routines are part of the SCSL Scientific Library and can be loaded
- using either the -lscs or the -lscs_mp option. The -lscs_mp option
- directs the linker to use the multi-processor version of the library.
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- When linking to SCSL with -lscs or -lscs_mp, the default integer size is
- 4 bytes (32 bits). Another version of SCSL is available in which integers
- are 8 bytes (64 bits). This version allows the user access to larger
- memory sizes and helps when porting legacy Cray codes. It can be loaded
- by using the -lscs_i8 option or the -lscs_i8_mp option. A program may use
- only one of the two versions; 4-byte integer and 8-byte integer library
- calls cannot be mixed.
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- PPPPUUUURRRRPPPPOOOOSSSSEEEE
- DGEBAK forms the right or left eigenvectors of a real general matrix by
- backward transformation on the computed eigenvectors of the balanced
- matrix output by DGEBAL.
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- AAAARRRRGGGGUUUUMMMMEEEENNNNTTTTSSSS
- JOB (input) 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 DGEBAL.
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- SIDE (input) CHARACTER*1
- = 'R': V contains right eigenvectors;
- = 'L': V contains left eigenvectors.
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- N (input) INTEGER
- The number of rows of the matrix V. N >= 0.
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- ILO (input) INTEGER
- IHI (input) INTEGER The integers ILO and IHI determined by
- DGEBAL. 1 <= ILO <= IHI <= N, if N > 0; ILO=1 and IHI=0, if N=0.
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- DDDDGGGGEEEEBBBBAAAAKKKK((((3333SSSS)))) DDDDGGGGEEEEBBBBAAAAKKKK((((3333SSSS))))
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- SCALE (input) DOUBLE PRECISION array, dimension (N)
- Details of the permutation and scaling factors, as returned by
- DGEBAL.
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- M (input) INTEGER
- The number of columns of the matrix V. M >= 0.
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- V (input/output) DOUBLE PRECISION array, dimension (LDV,M)
- On entry, the matrix of right or left eigenvectors to be
- transformed, as returned by DHSEIN or DTREVC. On exit, V is
- overwritten by the transformed eigenvectors.
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- LDV (input) INTEGER
- The leading dimension of the array V. LDV >= max(1,N).
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- INFO (output) INTEGER
- = 0: successful exit
- < 0: if INFO = -i, the i-th argument had an illegal value.
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- SSSSEEEEEEEE AAAALLLLSSSSOOOO
- INTRO_LAPACK(3S), INTRO_SCSL(3S)
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- This man page is available only online.
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