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IRIX 6.2 Development Libraries
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DTRCO.z
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DTRCO
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1996-03-14
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67 lines
DDDDTTTTRRRRCCCCOOOO((((3333FFFF)))) DDDDTTTTRRRRCCCCOOOO((((3333FFFF))))
NNNNAAAAMMMMEEEE
DTRCO - DTRCO estimates the condition of a double precision triangular
matrix.
SSSSYYYYNNNNOOOOPPPPSSSSYYYYSSSS
SUBROUTINE DTRCO(T,LDT,N,RCOND,Z,JOB)
DDDDEEEESSSSCCCCRRRRIIIIPPPPTTTTIIIIOOOONNNN
On Entry
TTTT DOUBLE PRECISION(LDT,N)
T contains the triangular matrix. The zero
elements of the matrix are not referenced, and
the corresponding elements of the array can be
used to store other information.
LLLLDDDDTTTT INTEGER
LDT is the leading dimension of the array T.
NNNN INTEGER
N is the order of the system.
JJJJOOOOBBBB INTEGER
= 0 T is lower triangular.
= nonzero T is upper triangular. On Return
RRRRCCCCOOOONNNNDDDD DOUBLE PRECISION
an estimate of the reciprocal condition of T .
For the system T*X = B , relative perturbations
in T and B of size EPSILON may cause
relative perturbations in X of size EPSILON/RCOND .
If RCOND is so small that the logical expression
1.0 + RCOND .EQ. 1.0
is true, then T may be singular to working
precision. In particular, RCOND is zero if
exact singularity is detected or the estimate
underflows.
ZZZZ DOUBLE PRECISION(N)
a work vector whose contents are usually unimportant.
If T is close to a singular matrix, then Z is
an approximate null vector in the sense that
NORM(A*Z) = RCOND*NORM(A)*NORM(Z) . LINPACK. This version dated
08/14/78 . Cleve Moler, University of New Mexico, Argonne National Lab.
Subroutines and Functions BLAS DAXPY,DSCAL,DASUM Fortran DABS,DMAX1,DSIGN
PPPPaaaaggggeeee 1111