Language Reference |
LUPDT Call |
The LUPDT subroutine provides updating and downdating for rank deficient linear least squares solutions, complete orthogonal factorization, and Moore-Penrose inverses.
The LUPDT subroutine returns the following values:
is an lower triangular matrix that is updated or downdated by using the rows in .
is an matrix of right-hand sides that is updated or downdated by using the rows in . If is not specified, bup is not accessible.
is a vector of square roots of residual sum of squares that is updated or downdated by using the rows in . If ssq is not specified, sup is not accessible.
The input arguments to the LUPDT subroutine are as follows:
specifies an lower triangular matrix to be updated or downdated by row vectors stored in the matrix . Only the lower triangle of is used; the upper triangle can contain any information.
is a matrix used rowwise to update or downdate the matrix .
specifies an optional matrix of right-hand sides that have to be updated or downdated simultaneously with . If is specified, the argument must be specified.
specifies an optional matrix used rowwise to update or downdate the right-hand-side matrix .
specifies an optional vector that, if is specified, specifies the square root of the error sum of squares that should be updated or downdated simultaneously with and .
The relevant formula for the LUPDT call is . See the example in the documentation for the RZLIND call.
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