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- ____TTTTRRRREEEEDDDD1111((((3333FFFF)))) ____TTTTRRRREEEEDDDD1111((((3333FFFF))))
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- NNNNAAAAMMMMEEEE
- TRED1, STRED1 - EISPACK routine. This subroutine reduces a REAL
- SYMMETRIC matrix to a symmetric tridiagonal matrix using orthogonal
- similarity transformations.
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- SSSSYYYYNNNNOOOOPPPPSSSSYYYYSSSS
- ssssuuuubbbbrrrroooouuuuttttiiiinnnneeee ttttrrrreeeedddd1111((((nnnnmmmm,,,, nnnn,,,, aaaa,,,, dddd,,,, eeee,,,, eeee2222))))
- iiiinnnntttteeeeggggeeeerrrr nnnnmmmm,,,, nnnn
- ddddoooouuuubbbblllleeee pppprrrreeeecccciiiissssiiiioooonnnn aaaa((((nnnnmmmm,,,,nnnn)))),,,, dddd((((nnnn)))),,,, eeee((((nnnn)))),,,, eeee2222((((nnnn))))
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- ssssuuuubbbbrrrroooouuuuttttiiiinnnneeee ssssrrrreeeedddd1111((((nnnnmmmm,,,, nnnn,,,, aaaa,,,, dddd,,,, eeee,,,, eeee2222))))
- iiiinnnntttteeeeggggeeeerrrr nnnnmmmm,,,, nnnn
- rrrreeeeaaaallll aaaa((((nnnnmmmm,,,,nnnn)))),,,, dddd((((nnnn)))),,,, eeee((((nnnn)))),,,, eeee2222((((nnnn))))
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- DDDDEEEESSSSCCCCRRRRIIIIPPPPTTTTIIIIOOOONNNN
- On Input
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- NNNNMMMM must be set to the row dimension of two-dimensional array parameters
- as declared in the calling program dimension statement.
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- NNNN is the order of the matrix.
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- AAAA contains the real symmetric input matrix. Only the lower triangle of
- the matrix need be supplied. On Output
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- AAAA contains information about the orthogonal trans- formations used in the
- reduction in its strict lower triangle. The full upper triangle of A is
- unaltered.
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- DDDD contains the diagonal elements of the tridiagonal matrix.
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- EEEE contains the subdiagonal elements of the tridiagonal matrix in its last
- N-1 positions. E(1) is set to zero.
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- EEEE2222 contains the squares of the corresponding elements of E. E2 may
- coincide with E if the squares are not needed. Questions and comments
- should be directed to B. S. Garbow, APPLIED MATHEMATICS DIVISION, ARGONNE
- NATIONAL LABORATORY
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- PPPPaaaaggggeeee 1111
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