-- LAPACK driver routine (version 3.1) --
Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
November 2006
Purpose
=======
DGELS solves overdetermined or underdetermined real linear systems
involving an M-by-N matrix A, or its transpose, using a QR or LQ
factorization of A. It is assumed that A has full rank.
The following options are provided:
1. If TRANS = 'N' and m .GE. n: find the least squares solution of
an overdetermined system, i.e., solve the least squares problem
minimize || B - A*X ||.
2. If TRANS = 'N' and m .LT. n: find the minimum norm solution of
an underdetermined system A * X = B.
3. If TRANS = 'T' and m .GE. n: find the minimum norm solution of
an undetermined system A**T * X = B.
4. If TRANS = 'T' and m .LT. n: find the least squares solution of
an overdetermined system, i.e., solve the least squares problem
minimize || B - A**T * X ||.
Several right hand side vectors b and solution vectors x can be
handled in a single call; they are stored as the columns of the
M-by-NRHS right hand side matrix B and the N-by-NRHS solution
matrix X.
Inheritance Hierarchy Namespace: DotNumerics.LinearAlgebra.CSLapackAssembly: DWSIM.MathOps.DotNumerics (in DWSIM.MathOps.DotNumerics.dll) Version: 1.0.0.0 (1.0.0.0)
Syntax The DGELS type exposes the following members.
Constructors | Name | Description |
---|
| DGELS | |
| DGELS(LSAME, ILAENV, DLABAD, DLAMCH, DLANGE, DGELQF, DGEQRF, DLASCL, DLASET, DORMLQ, DORMQR, DTRTRS, XERBLA) | |
TopMethods | Name | Description |
---|
| Run |
Purpose
=======
DGELS solves overdetermined or underdetermined real linear systems
involving an M-by-N matrix A, or its transpose, using a QR or LQ
factorization of A. It is assumed that A has full rank.
The following options are provided:
1. If TRANS = 'N' and m .GE. n: find the least squares solution of
an overdetermined system, i.e., solve the least squares problem
minimize || B - A*X ||.
2. If TRANS = 'N' and m .LT. n: find the minimum norm solution of
an underdetermined system A * X = B.
3. If TRANS = 'T' and m .GE. n: find the minimum norm solution of
an undetermined system A**T * X = B.
4. If TRANS = 'T' and m .LT. n: find the least squares solution of
an overdetermined system, i.e., solve the least squares problem
minimize || B - A**T * X ||.
Several right hand side vectors b and solution vectors x can be
handled in a single call; they are stored as the columns of the
M-by-NRHS right hand side matrix B and the N-by-NRHS solution
matrix X.
|
TopFields Extension Methods See Also