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 Section All Sections 1 - General Commands 2 - System Calls 3 - Subroutines 4 - Special Files 5 - File Formats 6 - Games 7 - Macros and Conventions 8 - Maintenance Commands 9 - Kernel Interface n - New Commands
 complib/dlarfx(3) -- applie a real elementary reflector H to a real m by n matrix C, from either the left or the right DLARFX applies a real elementary reflector H to a real m by n matrix C, from either the left or the right. H is represented in the form H = I - tau * v * v' where tau is a real scalar and v is a real vector. If tau = 0, then H is taken to be the unit matrix This version uses inline code if H has order < 11. complib/dlargv(3) -- generate a vector of real plane rotations, determined by elements of the real vectors x and y DLARGV generates a vector of real plane rotations, determined by elements of the real vectors x and y. For i = 1,2,...,n ( c(i) s(i) ) ( x(i) ) = ( a(i) ) ( -s(i) c(i) ) ( y(i) ) = ( 0 )
complib/dlarnv(3) -- return a vector of n random real numbers from a uniform or normal distribution
DLARNV returns a vector of n random real numbers from a uniform or normal distribution.
complib/dlartg(3) -- generate a plane rotation so that [ CS SN ]
DLARTG generate a plane rotation so that [ -SN CS ] [ G ] [ 0 ] This is a slower, more accurate version of the BLAS1 routine DROTG, with the following other differences: F and G are unchanged on return. If G=0, then CS=1 and SN=0. If F=0 and (G .ne. 0), then CS=0 and SN=1 without doing any floating point operations (saves work in DBDSQR when there are zeros on the diagonal). If F exceeds G in magnitude, CS will be positive....
complib/dlartv(3) -- applie a vector of real plane rotations to elements of the real vectors x and y
DLARTV applies a vector of real plane rotations to elements of the real vectors x and y. For i = 1,2,...,n ( x(i) ) := ( c(i) s(i) ) ( x(i) ) ( y(i) ) ( -s(i) c(i) ) ( y(i) )
complib/dlaruv(3) -- return a vector of n random real numbers from a uniform (0,1)
DLARUV returns a vector of n random real numbers from a uniform (0,1) distribution (n <= 128). This is an auxiliary routine called by DLARNV and ZLARNV.
complib/dlas2(3) -- compute the singular values of the 2-by-2 matrix [ F G ] [ 0 H ]
DLAS2 computes the singular values of the 2-by-2 matrix [ F G ] [ 0 H ]. On return, SSMIN is the smaller singular value and SSMAX is the larger singular value.
complib/dlascl(3) -- multiplie the M by N real matrix A by the real scalar CTO/CFROM
DLASCL multiplies the M by N real matrix A by the real scalar CTO/CFROM. This is done without over/underflow as long as the final result CTO*A(I,J)/CFROM does not over/underflow. TYPE specifies that A may be full, upper triangular, lower triangular, upper Hessenberg, or banded.
complib/dlaset(3) -- initialize an m-by-n matrix A to BETA on the diagonal and ALPHA on the offdiagonals
DLASET initializes an m-by-n matrix A to BETA on the diagonal and ALPHA on the offdiagonals.
complib/dlasq1(3) -- matrix with diagonal D and off-diagonal E
DLASQ1 computes the singular values of a real N-by-N bidiagonal matrix with diagonal D and off-diagonal E. The singular values are computed to high relative accuracy, barring over/underflow or denormalization. The algorithm is described in "Accurate singular values and differential qd algorithms," by K. V. Fernando and B. N. Parlett, Numer. Math., Vol-67, No. 2, pp. 191-230,1994. See also "Implementation of differential qd algorithms," by K. V. Fernando and B. N. Parlett, Technical Report, D...
complib/dlasq2(3) -- DLASQ2 computes the singular values of a real N-by-N unreduced bidiagonal matrix with squared diagonal element
DLASQ2 computes the singular values of a real N-by-N unreduced bidiagonal matrix with squared diagonal elements in Q and squared off-diagonal elements in E. The singular values are computed to relative accuracy TOL, barring over/underflow or denormalization.
complib/dlasq3(3) -- DLASQ3 is the workhorse of the whole bidiagonal SVD algorithm
DLASQ3 is the workhorse of the whole bidiagonal SVD algorithm. This can be described as the differential qd with shifts.
complib/dlasq4(3) -- DLASQ4 estimates TAU, the smallest eigenvalue of a matrix
DLASQ4 estimates TAU, the smallest eigenvalue of a matrix. This routine improves the input value of SUP which is an upper bound for the smallest eigenvalue for this matrix .
complib/dlasr(3) -- where A is an m by n real matrix and P is an orthogonal matrix,
DLASR performs the transformation consisting of a sequence of plane rotations determined by the parameters PIVOT and DIRECT as follows ( z = m when SIDE = 'L' or 'l' and z = n when SIDE = 'R' or 'r' ): When DIRECT = 'F' or 'f' ( Forward sequence ) then P = P( z - 1 )*...*P( 2 )*P( 1 ), and when DIRECT = 'B' or 'b' ( Backward sequence ) then P = P( 1 )*P( 2 )*...*P( z - 1 ), where P( k ) is a plane rotation matrix for the following planes: when PIVOT = 'V' or 'v' ( Variable pi...
complib/dlasrt(3) -- the numbers in D in increasing order (if ID = 'I') or in decreasing order (if ID = 'D' )
Sort the numbers in D in increasing order (if ID = 'I') or in decreasing order (if ID = 'D' ). Use Quick Sort, reverting to Insertion sort on arrays of size <= 20. Dimension of STACK limits N to about 2**32.
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