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java.lang.Object  +linear_algebra.QR_f77
This class contains the LINPACK DQRDC (QR decomposition) and DQRSL (QR solve) routines.
IMPORTANT: The "_f77" suffixes indicate that these routines use FORTRAN style indexing. For example, you will see
for (i = 1; i <= n; i++)rather than
for (i = 0; i < n; i++)To use the "_f77" routines you will have to declare your vectors and matrices to be one element larger (e.g., v[101] rather than v[100], and a[101][101] rather than a[100][100]), and you will have to fill elements 1 through n rather than elements 0 through n  1. Versions of these programs that use C/Java style indexing will soon be available. They will end with the suffix "_j".
This class was translated by a statistician from FORTRAN versions of the LINPACK routines. It is NOT an official translation. It wastes memory by failing to use the first elements of vectors. When public domain Java numerical analysis routines become available from the people who produce LAPACK, then THE CODE PRODUCED BY THE NUMERICAL ANALYSTS SHOULD BE USED.
Meanwhile, if you have suggestions for improving this code, please contact Steve Verrill at steve@ws10.fpl.fs.fed.us.
Constructor Summary  
QR_f77()

Method Summary  
static void 
dqrdc_f77(double[][] x,
int n,
int p,
double[] qraux,
int[] jpvt,
double[] work,
int job)
This method decomposes an n by p matrix X into a product, QR, of an orthogonal n by n matrix Q and an upper triangular n by p matrix R. 
static int 
dqrsl_f77(double[][] x,
int n,
int k,
double[] qraux,
double[] y,
double[] qy,
double[] qty,
double[] b,
double[] rsd,
double[] xb,
int job)
This method "applies the output of DQRDC to compute coordinate transformations, projections, and least squares solutions." For details, see the comments in the code. 
Methods inherited from class java.lang.Object 
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait 
Constructor Detail 
public QR_f77()
Method Detail 
public static void dqrdc_f77(double[][] x, int n, int p, double[] qraux, int[] jpvt, double[] work, int job)
This method decomposes an n by p matrix X into a product, QR, of an orthogonal n by n matrix Q and an upper triangular n by p matrix R. For details, see the comments in the code. This method is a translation from FORTRAN to Java of the LINPACK subroutine DQRDC. In the LINPACK listing DQRDC is attributed to G.W. Stewart with a date of 8/14/78. Translated by Steve Verrill, February 25, 1997.
n
 The number of rows of the matrix Xp
 The number of columns of the matrix Xqraux
 This vector "contains further information required to
recover the orthogonal part of the decomposition."jpvt
 This vector contains pivoting informationwork
 This vector is used as temporary spacejob
 This value indicates whether column pivoting should be performedpublic static int dqrsl_f77(double[][] x, int n, int k, double[] qraux, double[] y, double[] qy, double[] qty, double[] b, double[] rsd, double[] xb, int job)
This method "applies the output of DQRDC to compute coordinate transformations, projections, and least squares solutions." For details, see the comments in the code. This method is a translation from FORTRAN to Java of the LINPACK subroutine DQRSL. In the LINPACK listing DQRSL is attributed to G.W. Stewart with a date of 8/14/78. Translated by Steve Verrill, February 27, 1997.
n
 The number of rows of Xk
 k <= min(n,p) where p is the number of columns of Xqraux
 This vector "contains further information required to
recover the orthogonal part of the decomposition"y
 This n by 1 vector will be manipulated by DQRSLqy
 On output, this vector contains Qy if it has been requestedqty
 On output, this vector contains transpose(Q)y if it has been requestedb
 Parameter estimatesrsd
 Residualsxb
 Predicted valuesjob
 Specifies what is to be computed (see the code for details)


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