.TH "sgeql2.f" 3 "Wed Oct 15 2014" "Version 3.4.2" "LAPACK" \" -*- nroff -*-
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.SH NAME
sgeql2.f \- 
.SH SYNOPSIS
.br
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.SS "Functions/Subroutines"

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.ti -1c
.RI "subroutine \fBsgeql2\fP (M, N, A, LDA, TAU, WORK, INFO)"
.br
.RI "\fI\fBSGEQL2\fP computes the QL factorization of a general rectangular matrix using an unblocked algorithm\&. \fP"
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.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine sgeql2 (integerM, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )TAU, real, dimension( * )WORK, integerINFO)"

.PP
\fBSGEQL2\fP computes the QL factorization of a general rectangular matrix using an unblocked algorithm\&.  
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\fBPurpose: \fP
.RS 4

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.nf
 SGEQL2 computes a QL factorization of a real m by n matrix A:
 A = Q * L.
.fi
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.RE
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\fBParameters:\fP
.RS 4
\fIM\fP 
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          M is INTEGER
          The number of rows of the matrix A.  M >= 0.
.fi
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\fIN\fP 
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          N is INTEGER
          The number of columns of the matrix A.  N >= 0.
.fi
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\fIA\fP 
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          A is REAL array, dimension (LDA,N)
          On entry, the m by n matrix A.
          On exit, if m >= n, the lower triangle of the subarray
          A(m-n+1:m,1:n) contains the n by n lower triangular matrix L;
          if m <= n, the elements on and below the (n-m)-th
          superdiagonal contain the m by n lower trapezoidal matrix L;
          the remaining elements, with the array TAU, represent the
          orthogonal matrix Q as a product of elementary reflectors
          (see Further Details).
.fi
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\fILDA\fP 
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          LDA is INTEGER
          The leading dimension of the array A.  LDA >= max(1,M).
.fi
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\fITAU\fP 
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          TAU is REAL array, dimension (min(M,N))
          The scalar factors of the elementary reflectors (see Further
          Details).
.fi
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\fIWORK\fP 
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          WORK is REAL array, dimension (N)
.fi
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\fIINFO\fP 
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          INFO is INTEGER
          = 0: successful exit
          < 0: if INFO = -i, the i-th argument had an illegal value
.fi
.PP
 
.RE
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\fBAuthor:\fP
.RS 4
Univ\&. of Tennessee 
.PP
Univ\&. of California Berkeley 
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Univ\&. of Colorado Denver 
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NAG Ltd\&. 
.RE
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\fBDate:\fP
.RS 4
September 2012 
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\fBFurther Details: \fP
.RS 4

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.nf
  The matrix Q is represented as a product of elementary reflectors

     Q = H(k) . . . H(2) H(1), where k = min(m,n).

  Each H(i) has the form

     H(i) = I - tau * v * v**T

  where tau is a real scalar, and v is a real vector with
  v(m-k+i+1:m) = 0 and v(m-k+i) = 1; v(1:m-k+i-1) is stored on exit in
  A(1:m-k+i-1,n-k+i), and tau in TAU(i).
.fi
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.RE
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.PP
Definition at line 124 of file sgeql2\&.f\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.