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itpack.h File Reference

Declarations of functions from itpack. More...

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Functions

integer bisrch_ (integer *n, integer *k, integer *l)
doublereal cheby_ (doublereal *qa, doublereal *qt, doublereal *rrr, integer *ip, doublereal *cme, doublereal *sme)
int chgcon_ (doublereal *tri, doublereal *gamold, doublereal *rhoold, integer *ibmth)
int chgsi_ (doublereal *dtnrm, integer *ibmth)
logical chgsme_ (doublereal *oldnrm, integer *icnt)
int daxpy_ (integer *n, doublereal *da, doublereal *dx, integer *incx, doublereal *dy, integer *incy)
int dcopy_ (integer *n, doublereal *dx, integer *incx, doublereal *dy, integer *incy)
doublereal ddot_ (integer *n, doublereal *dx, integer *incx, doublereal *dy, integer *incy)
doublereal determ_ (integer *n, doublereal *tri, doublereal *xlmda)
int dfault_ (integer *iparm, doublereal *rparm)
int echall_ (integer *nn, integer *ia, integer *ja, doublereal *a, doublereal *rhs, integer *iparm, doublereal *rparm, integer *icall)
int echout_ (integer *iparm, doublereal *rparm, integer *imthd)
doublereal eigvns_ (integer *n, doublereal *tri, doublereal *d__, doublereal *e2, integer *ier)
doublereal eigvss_ (integer *n, doublereal *tri, doublereal *start, doublereal *zeta, integer *itmax, integer *ier)
int eqrt1s_ (doublereal *d__, doublereal *e2, integer *nn, integer *m, integer *isw, integer *ierr)
integer ipstr_ (doublereal *omega)
int iterm_ (integer *nn, doublereal *a, doublereal *u, doublereal *wk, integer *imthdd)
int itjcg_ (integer *nn, integer *ia, integer *ja, doublereal *a, doublereal *u, doublereal *u1, doublereal *d__, doublereal *d1, doublereal *dtwd, doublereal *tri)
int itjsi_ (integer *nn, integer *ia, integer *ja, doublereal *a, doublereal *rhs, doublereal *u, doublereal *u1, doublereal *d__, integer *icnt)
int itrscg_ (integer *n, integer *nnb, integer *ia, integer *ja, doublereal *a, doublereal *ub, doublereal *ub1, doublereal *db, doublereal *db1, doublereal *wb, doublereal *tri)
int itrssi_ (integer *n, integer *nnb, integer *ia, integer *ja, doublereal *a, doublereal *rhs, doublereal *ub, doublereal *ub1, doublereal *db)
int itsor_ (integer *nn, integer *ia, integer *ja, doublereal *a, doublereal *rhs, doublereal *u, doublereal *wk)
int itsrcg_ (integer *nn, integer *ia, integer *ja, doublereal *a, doublereal *rhs, doublereal *u, doublereal *u1, doublereal *c__, doublereal *c1, doublereal *d__, doublereal *dl, doublereal *wk, doublereal *tri)
int itsrsi_ (integer *nn, integer *ia, integer *ja, doublereal *a, doublereal *rhs, doublereal *u, doublereal *u1, doublereal *c__, doublereal *d__, doublereal *ctwd, doublereal *wk)
int ivfill_ (integer *n, integer *iv, integer *ival)
int jcg_ (integer *nn, integer *ia, integer *ja, doublereal *a, doublereal *rhs, doublereal *u, integer *iwksp, integer *nw, doublereal *wksp, integer *iparm, doublereal *rparm, integer *ierr)
int jsi_ (integer *nn, integer *ia, integer *ja, doublereal *a, doublereal *rhs, doublereal *u, integer *iwksp, integer *nw, doublereal *wksp, integer *iparm, doublereal *rparm, integer *ierr)
int omeg_ (doublereal *dnrm, integer *iflag)
logical omgchg_ (integer *ndummy)
logical omgstr_ (integer *ndummy)
int parcon_ (doublereal *dtnrm, doublereal *c1, doublereal *c2, doublereal *c3, doublereal *c4, doublereal *gamold, doublereal *rhotmp, integer *ibmth)
int parsi_ (doublereal *c1, doublereal *c2, doublereal *c3, integer *ibmth)
doublereal pbeta_ (integer *nn, integer *ia, integer *ja, doublereal *a, doublereal *v, doublereal *w1, doublereal *w2)
int pbsor_ (integer *nn, integer *ia, integer *ja, doublereal *a, doublereal *u, doublereal *rhs)
int permat_ (integer *nn, integer *ia, integer *ja, doublereal *a, integer *p, integer *newia, integer *isym, integer *level, integer *nout, integer *ierr)
int perror_ (integer *nn, integer *ia, integer *ja, doublereal *a, doublereal *rhs, doublereal *u, doublereal *w, doublereal *digtt1, doublereal *digtt2, integer *idgtts)
int pervec_ (integer *n, doublereal *v, integer *p)
int pfsor1_ (integer *nn, integer *ia, integer *ja, doublereal *a, doublereal *u, doublereal *rhs)
int pfsor_ (integer *nn, integer *ia, integer *ja, doublereal *a, doublereal *u, doublereal *rhs)
int pjac_ (integer *nn, integer *ia, integer *ja, doublereal *a, doublereal *u, doublereal *rhs)
int pmult_ (integer *nn, integer *ia, integer *ja, doublereal *a, doublereal *u, doublereal *w)
int prbndx_ (integer *nn, integer *nblack, integer *ia, integer *ja, integer *p, integer *ip, integer *level, integer *nout, integer *ier)
int prsblk_ (integer *nnb, integer *nnr, integer *ia, integer *ja, doublereal *a, doublereal *ur, doublereal *vb)
int prsred_ (integer *nnb, integer *nnr, integer *ia, integer *ja, doublereal *a, doublereal *ub, doublereal *vr)
int pssor1_ (integer *nn, integer *ia, integer *ja, doublereal *a, doublereal *u, doublereal *rhs, doublereal *fr, doublereal *br)
int pstop_ (integer *n, doublereal *u, doublereal *dnrm, doublereal *ccon, integer *iflag, logical *q1)
doublereal pvtbv_ (integer *n, integer *ia, integer *ja, doublereal *a, doublereal *v)
int qsort_ (integer *nn, integer *key, doublereal *data, integer *error)
int rscg_ (integer *nn, integer *ia, integer *ja, doublereal *a, doublereal *rhs, doublereal *u, integer *iwksp, integer *nw, doublereal *wksp, integer *iparm, doublereal *rparm, integer *ierr)
int rssi_ (integer *nn, integer *ia, integer *ja, doublereal *a, doublereal *rhs, doublereal *u, integer *iwksp, integer *nw, doublereal *wksp, integer *iparm, doublereal *rparm, integer *ierr)
int sbagn_ (integer *n, integer *nz, integer *ia, integer *ja, doublereal *a, integer *iwork, integer *levell, integer *noutt, integer *ierr)
int sbelm_ (integer *nn, integer *ia, integer *ja, doublereal *a, doublereal *rhs, integer *iw, doublereal *rw, doublereal *tol, integer *isym, integer *level, integer *nout, integer *ier)
int sbend_ (integer *nn, integer *nz, integer *ia, integer *ja, doublereal *a, integer *iwork)
int sbini_ (integer *nn, integer *nz, integer *ia, integer *ja, doublereal *a, integer *iwork)
int sbsij_ (integer *nn, integer *nz, integer *ia, integer *ja, doublereal *a, integer *iwork, integer *ii, integer *jj, doublereal *vall, integer *mode, integer *levell, integer *noutt, integer *ierr)
int scal_ (integer *nn, integer *ia, integer *ja, doublereal *a, doublereal *rhs, doublereal *u, doublereal *d__, integer *level, integer *nout, integer *ier)
int sor_ (integer *nn, integer *ia, integer *ja, doublereal *a, doublereal *rhs, doublereal *u, integer *iwksp, integer *nw, doublereal *wksp, integer *iparm, doublereal *rparm, integer *ierr)
int ssorcg_ (integer *nn, integer *ia, integer *ja, doublereal *a, doublereal *rhs, doublereal *u, integer *iwksp, integer *nw, doublereal *wksp, integer *iparm, doublereal *rparm, integer *ierr)
int ssorsi_ (integer *nn, integer *ia, integer *ja, doublereal *a, doublereal *rhs, doublereal *u, integer *iwksp, integer *nw, doublereal *wksp, integer *iparm, doublereal *rparm, integer *ierr)
int sum3_ (integer *n, doublereal *c1, doublereal *x1, doublereal *c2, doublereal *x2, doublereal *c3, doublereal *x3)
doublereal tau_ (integer *ii)
E_f timer_ (v3p_netlib_real *timdmy)
logical tstchg_ (integer *ibmth)
int unscal_ (integer *n, integer *ia, integer *ja, doublereal *a, doublereal *rhs, doublereal *u, doublereal *d__)
int vevmw_ (integer *n, doublereal *v, doublereal *w)
int vevpw_ (integer *n, doublereal *v, doublereal *w)
int vfill_ (integer *n, doublereal *v, doublereal *val)
int vout_ (integer *n, doublereal *v, integer *iswt, integer *noutt)
int wevmw_ (integer *n, doublereal *v, doublereal *w)
int zbrent_ (integer *n, doublereal *tri, doublereal *eps, integer *nsig, doublereal *aa, doublereal *bb, integer *maxfnn, integer *ier)


Detailed Description

Declarations of functions from itpack.

The following are the common parameters that are used when calling functions. Note: Variables names are consistent with itpack to prevent confusion.

nn Order of linear system a Row pointers used in compressed row storage format m ja Column indices used in compressed row storage format

Parameters:
a Nonzero entries in compressed row storage format
rhs Right hand side of linear system
u Initial guess of solution. holds solution on output
iwksp Vector of length 3*nn. on output: holds permutation vector, its inverse, and integer workspace
nw On input: length of wksp, on output: actual amount used
wksp Vector used for real working space. must be at least nw in length
iparm Vector of length 12 used to initialize various parameters on input
rparm Vector of length 12 used to initialize various parameters on input
ierr Error flag, on output: zero=no error, non-zero=error condition
nz Number of non-zero entries in matrix
iwork Vector of length nz. matrix creation workspace
i Matrix index
j Matrix index
value Matrix entry
mode Type of matrix building
level Error reporting flag
nout Error reporting location
ier Error flag for matrix building

Definition in file itpack.h.


Function Documentation

integer bisrch_ ( integer n,
integer k,
integer l 
)

Function which uses a bisection search to find the entry j in the array k such that the value l is greater than or equal to k[j] and strictly less than k[j+1]

Parameters:
n since of array
k integer array to search
l searching criterion

doublereal cheby_ ( doublereal qa,
doublereal qt,
doublereal rrr,
integer ip,
doublereal cme,
doublereal sme 
)

Computes the solution to the chebyshev equation

Parameters:
qa ratio of pseudo-residuals
qt virtual spectral radius
rrr adaptive parameter
ip number of iterations since last change of parameters
cme estimate for largest eigen-value of iteration matrix
sme estimate for smallest eigen-value of iteration matrix

int chgcon_ ( doublereal tri,
doublereal gamold,
doublereal rhoold,
integer ibmth 
)

Computes estimate for largest eigenvalue for conjugate gradient acceleration

Parameters:
tri tridiagonal matrix associated with the eigenvalues of the conjugate gradient polynomial
gamold previous value of acceleration parameters
rhoold previous value of acceleration parameters
ibmth flag indicating method being accelerated by conjugate gradient 1 - jacobian 2 - reduced system 3 - ssor

int chgsi_ ( doublereal dtnrm,
integer ibmth 
)

Computes new chebyshev acceleration parameters adaptively

Parameters:
dtnrm numerator or rayleigh quotient
ibmth indicator of basic method being accelerated by si 1 = jacobi 2 = reduced system 3 = symmetric sor

logical chgsme_ ( doublereal oldnrm,
integer icnt 
)

Tests for jacobi si whether sme should be changed when caseII = false if the test is positive, the new value of sme is computed

Parameters:
oldnrm square of the norm of the pseudo-residual at the last iteration
icnt number of iterations since last change of parameters

int daxpy_ ( integer n,
doublereal da,
doublereal dx,
integer incx,
doublereal dy,
integer incy 
)

Overwrite double precision dy with double precision da*dx + dy

Parameters:
n length of da
da array of da values
dx array of dx values
incx increment size for dx array
dy array of dy values
incy increment size for dy array

int dcopy_ ( integer n,
doublereal dx,
integer incx,
doublereal dy,
integer incy 
)

Copy dx to dy

Parameters:
n length of dx
dx array of values
incx increment size for dx array
dy array of values
incy increment size for dy array

doublereal ddot_ ( integer n,
doublereal dx,
integer incx,
doublereal dy,
integer incy 
)

Returns dot product of dx and dy

Parameters:
n length of dx
dx array of values
incx increment size for dx array
dy array of values
incy increment size for dy array

doublereal determ_ ( integer n,
doublereal tri,
doublereal xlmda 
)

Subroutine that computes the determinant of a symmetric tridiagonal matrix given by tri. det(tri - xlmda*i) = 0

Parameters:
n order of tridiagonal system
tri symmetric tridiagonal matrix of order n
xlmda argument for characteristic equation

int dfault_ ( integer iparm,
doublereal rparm 
)

Obtain default parameters

Parameters:
iparm array of 12 integer parameters
rparm array of 12 double parameters

int echall_ ( integer nn,
integer ia,
integer ja,
doublereal a,
doublereal rhs,
integer iparm,
doublereal rparm,
integer icall 
)

This routine initializes the itpack common blocks from the information contained in IPARM and RPARM. echall_ also prints the values of all the parameters in IPARM and RPARM

Parameters:
nn Order of linear system
ia array of row offsets
ja array of column indices
a array of matrix values
rhs array of right hand side of system
iparm integer array of parameters
rparm doublereal array of parameters
icall indicator of which parameters are being printed
Note:
in this implementation...all printing is disabled

int echout_ ( integer iparm,
doublereal rparm,
integer imthd 
)

This routine initiazes the itpack common blocks from IPARM and RPARM

Parameters:
iparm integer array of parameters
rparm doublereal array of parameters
imthd indicator of method 1 = jcg 2 = jsi 3 = sor 4 = ssorcg 5 = ssorsi 6 = rscg 7 = rssi

doublereal eigvns_ ( integer n,
doublereal tri,
doublereal d__,
doublereal e2,
integer ier 
)

Computes the largest eigenvalue of symmetric tridiagnoncal matrix for conjugate gradient acceleration

Parameters:
n order of tridiagonal system
tri symmetric tridiagonal matrix of order n
d__ array of eqrt1s (negative diagonal elements)
e2 array of eqrt1s (super diagonal elements)
ier error flag (0 = success)

doublereal eigvss_ ( integer n,
doublereal tri,
doublereal start,
doublereal zeta,
integer itmax,
integer ier 
)

Computes the largest eigenvalue of a symmetric tridiagonal matrix for conjugate gradient acceleration modified imsl routine zbrent is used

Parameters:
n order of tridiagonal system
tri symmetric tridiagonal matrix of order n
start initial lower bound of interval containing root
zeta stopping criteria
itmax maximum number of iterations
ier error flag (0 = success)

int eqrt1s_ ( doublereal d__,
doublereal e2,
integer nn,
integer m,
integer isw,
integer ierr 
)

Smallest or largest m eigenvalue of a symmetric tridiagonal matrix

Parameters:
d__ input vector of length n, contains diagonal elements of matrix the computed eigenvalues replace the first m components
e2 input vector of length n containing the squares of the off-diagonal elements of the matrix
nn order of the matrix
m number of smallest eigenvalues desired
isw positive definite flag (0 = not pd, 1 = pd)
ierr error flag (601 = interates not monotone increasing, 602 = not really pd)

integer ipstr_ ( doublereal omega  ) 

Finds the smallest integer, ipstr, greater than 5 such that ipstr * (omega-1)**(ipstr-1) <= 0.5

Parameters:
omega relaxation factor for sor method

int iterm_ ( integer nn,
doublereal a,
doublereal u,
doublereal wk,
integer imthdd 
)

This routine produces teh iteration summary line at the end of each iteration if level = 5, the latest approx to the solution is printed

Parameters:
nn order of system
a iteration matrix
u solution estimate
wk work array of length nn
imthdd indicator of method 1 = jcg 2 = jsi 3 = sor 4 = ssorcg 5 = ssorsi 6 = rscg 7 = rssi

int itjcg_ ( integer nn,
integer ia,
integer ja,
doublereal a,
doublereal u,
doublereal u1,
doublereal d__,
doublereal d1,
doublereal dtwd,
doublereal tri 
)

Performs one iteration of the jacobian conjugate gradiant method

Parameters:
nn Order of linear system
ia array of row offsets
ja array of column indices
a array of matrix values
u input version of solution vector
u1 value of solution vector at the end of the in-1 iteration, gets filled with newest estimate
d__ solution vector, gets filled with pseudo-residual vector after in iterations
d1 pseudo-residual vector after in-1 iterations, gets filled with newest pseudo-residual vector
dtwd used in computation of acceleration parameeter gamma and the pseudo-residual
tri stores the tridiagonal matrix associated with the eigenvalues of the conjugate gradient ploynomial

int itjsi_ ( integer nn,
integer ia,
integer ja,
doublereal a,
doublereal rhs,
doublereal u,
doublereal u1,
doublereal d__,
integer icnt 
)

Performs one iteration of the jacobian semi-iteration method

Parameters:
nn Order of linear system
ia array of row offsets
ja array of column indices
a array of matrix values
rhs array of right hand side of linear system
u solution estimate at in iterations
u1 value of solution vector at the end of the in-1 iteration, gets filled with newest estimate
d__ solution vector, gets filled with pseudo-residual vector after in iterations
icnt number of iterations since last change in solution estimate

int itrscg_ ( integer n,
integer nnb,
integer ia,
integer ja,
doublereal a,
doublereal ub,
doublereal ub1,
doublereal db,
doublereal db1,
doublereal wb,
doublereal tri 
)

Performs one iteration of the reduced system conjugate gradient method

Parameters:
n Order of linear system
nnb Number of black points
ia array of row offsets
ja array of column indices
a array of matrix values
ub estimate for the solution of black points after in iterations
ub1 estimate for the solution of black points after in-1 iterations, filled with in+1 values
db pseudo-residual of black points after in iterations
db1 pseudo-residual of black points after in-1 iterations, filled with in+1 values
wb used in computation involving black vector
tri stores the tridiagonal matrix associated with the eigenvalues of the conjugate gradient ploynomial

int itrssi_ ( integer n,
integer nnb,
integer ia,
integer ja,
doublereal a,
doublereal rhs,
doublereal ub,
doublereal ub1,
doublereal db 
)

Performs one iteration of the reduced system semi-iteration method

Parameters:
n Order of linear system
nnb Number of black points
ia array of row offsets
ja array of column indices
a array of matrix values
rhs array of right hand side of linear system
ub estimate for the solution of black points after in iterations
ub1 pseudo-residual of black points after in-1 iterations, filled with in+1 values
db current residual

int itsor_ ( integer nn,
integer ia,
integer ja,
doublereal a,
doublereal rhs,
doublereal u,
doublereal wk 
)

Performs one iteration of the successive overrelaxation method

Parameters:
nn Order of linear system
ia array of row offsets
ja array of column indices
a array of matrix values
rhs array of right hand side of linear system
u solution estimate array
wk work array of length nn

int itsrcg_ ( integer nn,
integer ia,
integer ja,
doublereal a,
doublereal rhs,
doublereal u,
doublereal u1,
doublereal c__,
doublereal c1,
doublereal d__,
doublereal dl,
doublereal wk,
doublereal tri 
)

Performs one iteration of the symmetric successive overrelaxation conjugate gradient method

Parameters:
nn Order of linear system
ia array of row offsets
ja array of column indices
a array of matrix values
rhs array of right hand side of linear system
u solution estimate at in iterations,
u1 value of solution vector at the end of the in-1 iteration, gets filled with newest estimate
c__ forward residual after in iterations
c1 forward residual after in-1 iterations, filled with in+1 values
d__ used to compute backward pseudo-residual for current iteration
dl used in computation of acceleration parameters
wk work array of length nn
tri stores the tridiagonal matrix associated with the eigenvalues of the conjugate gradient ploynomial

int itsrsi_ ( integer nn,
integer ia,
integer ja,
doublereal a,
doublereal rhs,
doublereal u,
doublereal u1,
doublereal c__,
doublereal d__,
doublereal ctwd,
doublereal wk 
)

Performs one iteration of the symmetric successive overrelaxation semi-iteration method

Parameters:
nn Order of linear system
ia array of row offsets
ja array of column indices
a array of matrix values
rhs array of right hand side of linear system
u solution estimate at in-1 iterations
u1 value of solution vector at the end of the in-1 iteration, gets filled with newest estimate
c__ used to compute forward pseudo-residual vector
d__ used to compute backward pseudo-residual vector
ctwd used in computation of acceleration parameters
wk work array of length nn

int ivfill_ ( integer n,
integer iv,
integer ival 
)

Fill integer array with a value

Parameters:
n number of elements in array
iv pointer to integer array
ival value to fill array with

int jcg_ ( integer nn,
integer ia,
integer ja,
doublereal a,
doublereal rhs,
doublereal u,
integer iwksp,
integer nw,
doublereal wksp,
integer iparm,
doublereal rparm,
integer ierr 
)

Jacobian conjugate gradient

Parameters:
nn Order of linear system
ia array of row offsets
ja array of column indices
a array of matrix values
rhs array of right hand side of system
u solution array
iwksp int array used by itpack for calculations
nw size of iwskp and wksp
wksp double array used by itpack for calculations
iparm array of 12 integer parameters
rparm array of 12 double parameters
ierr holds error flag on return

int jsi_ ( integer nn,
integer ia,
integer ja,
doublereal a,
doublereal rhs,
doublereal u,
integer iwksp,
integer nw,
doublereal wksp,
integer iparm,
doublereal rparm,
integer ierr 
)

Jacobian semi-iteration

Parameters:
nn Order of linear system
ia array of row offsets
ja array of column indices
a array of matrix values
rhs array of right hand side of system
u solution array
iwksp int array used by itpack for calculations
nw size of iwskp and wksp
wksp double array used by itpack for calculations
iparm array of 12 integer parameters
rparm array of 12 double parameters
ierr holds error flag on return

int omeg_ ( doublereal dnrm,
integer iflag 
)

logical omgchg_ ( integer ndummy  ) 

logical omgstr_ ( integer ndummy  ) 

int parcon_ ( doublereal dtnrm,
doublereal c1,
doublereal c2,
doublereal c3,
doublereal c4,
doublereal gamold,
doublereal rhotmp,
integer ibmth 
)

int parsi_ ( doublereal c1,
doublereal c2,
doublereal c3,
integer ibmth 
)

doublereal pbeta_ ( integer nn,
integer ia,
integer ja,
doublereal a,
doublereal v,
doublereal w1,
doublereal w2 
)

int pbsor_ ( integer nn,
integer ia,
integer ja,
doublereal a,
doublereal u,
doublereal rhs 
)

int permat_ ( integer nn,
integer ia,
integer ja,
doublereal a,
integer p,
integer newia,
integer isym,
integer level,
integer nout,
integer ierr 
)

int perror_ ( integer nn,
integer ia,
integer ja,
doublereal a,
doublereal rhs,
doublereal u,
doublereal w,
doublereal digtt1,
doublereal digtt2,
integer idgtts 
)

int pervec_ ( integer n,
doublereal v,
integer p 
)

int pfsor1_ ( integer nn,
integer ia,
integer ja,
doublereal a,
doublereal u,
doublereal rhs 
)

int pfsor_ ( integer nn,
integer ia,
integer ja,
doublereal a,
doublereal u,
doublereal rhs 
)

int pjac_ ( integer nn,
integer ia,
integer ja,
doublereal a,
doublereal u,
doublereal rhs 
)

int pmult_ ( integer nn,
integer ia,
integer ja,
doublereal a,
doublereal u,
doublereal w 
)

int prbndx_ ( integer nn,
integer nblack,
integer ia,
integer ja,
integer p,
integer ip,
integer level,
integer nout,
integer ier 
)

int prsblk_ ( integer nnb,
integer nnr,
integer ia,
integer ja,
doublereal a,
doublereal ur,
doublereal vb 
)

int prsred_ ( integer nnb,
integer nnr,
integer ia,
integer ja,
doublereal a,
doublereal ub,
doublereal vr 
)

int pssor1_ ( integer nn,
integer ia,
integer ja,
doublereal a,
doublereal u,
doublereal rhs,
doublereal fr,
doublereal br 
)

int pstop_ ( integer n,
doublereal u,
doublereal dnrm,
doublereal ccon,
integer iflag,
logical *  q1 
)

doublereal pvtbv_ ( integer n,
integer ia,
integer ja,
doublereal a,
doublereal v 
)

int qsort_ ( integer nn,
integer key,
doublereal data,
integer error 
)

int rscg_ ( integer nn,
integer ia,
integer ja,
doublereal a,
doublereal rhs,
doublereal u,
integer iwksp,
integer nw,
doublereal wksp,
integer iparm,
doublereal rparm,
integer ierr 
)

Reduced system conjugate gradient

Parameters:
nn Order of linear system
ia array of row offsets
ja array of column indices
a array of matrix values
rhs array of right hand side of system
u solution array
iwksp int array used by itpack for calculations
nw size of iwskp and wksp
wksp double array used by itpack for calculations
iparm array of 12 integer parameters
rparm array of 12 double parameters
ierr holds error flag on return

int rssi_ ( integer nn,
integer ia,
integer ja,
doublereal a,
doublereal rhs,
doublereal u,
integer iwksp,
integer nw,
doublereal wksp,
integer iparm,
doublereal rparm,
integer ierr 
)

Reduced system semi-iteration

Parameters:
nn Order of linear system
ia array of row offsets
ja array of column indices
a array of matrix values
rhs array of right hand side of system
u solution array
iwksp int array used by itpack for calculations
nw size of iwskp and wksp
wksp double array used by itpack for calculations
iparm array of 12 integer parameters
rparm array of 12 double parameters
ierr holds error flag on return

int sbagn_ ( integer n,
integer nz,
integer ia,
integer ja,
doublereal a,
integer iwork,
integer levell,
integer noutt,
integer ierr 
)

Convert compressed row matrix back to linked-list representation used for adding entires

int sbelm_ ( integer nn,
integer ia,
integer ja,
doublereal a,
doublereal rhs,
integer iw,
doublereal rw,
doublereal tol,
integer isym,
integer level,
integer nout,
integer ier 
)

int sbend_ ( integer nn,
integer nz,
integer ia,
integer ja,
doublereal a,
integer iwork 
)

Finalize matrix storage format

Parameters:
nn order of matrix
nz maximum number of non-zero values
ia array of row offsets
ja array of column indices
a array of matrix values
iwork workspace array used by itpack

int sbini_ ( integer nn,
integer nz,
integer ia,
integer ja,
doublereal a,
integer iwork 
)

Initialize sparse matrix storage

Parameters:
nn order of matrix
nz maximum number of non-zero values
ia array of row offsets
ja array of column indices
a array of matrix values
iwork workspace array used by itpack

int sbsij_ ( integer nn,
integer nz,
integer ia,
integer ja,
doublereal a,
integer iwork,
integer ii,
integer jj,
doublereal vall,
integer mode,
integer levell,
integer noutt,
integer ierr 
)

Insert entry into sparse matrix

Parameters:
nn order of matrix
nz maximum number of non-zero values
ia array of row offsets
ja array of column indices
a array of matrix values
iwork workspace array used by itpack
ii row index of value to add
jj column index of value to add
vall value to add
mode flag for type of adding to be done
levell specifier for level of output
noutt specifier for output
ierr holds error flag on return

int scal_ ( integer nn,
integer ia,
integer ja,
doublereal a,
doublereal rhs,
doublereal u,
doublereal d__,
integer level,
integer nout,
integer ier 
)

int sor_ ( integer nn,
integer ia,
integer ja,
doublereal a,
doublereal rhs,
doublereal u,
integer iwksp,
integer nw,
doublereal wksp,
integer iparm,
doublereal rparm,
integer ierr 
)

Successive overrelaxation

Parameters:
nn Order of linear system
ia array of row offsets
ja array of column indices
a array of matrix values
rhs array of right hand side of system
u solution array
iwksp int array used by itpack for calculations
nw size of iwskp and wksp
wksp double array used by itpack for calculations
iparm array of 12 integer parameters
rparm array of 12 double parameters
ierr holds error flag on return

int ssorcg_ ( integer nn,
integer ia,
integer ja,
doublereal a,
doublereal rhs,
doublereal u,
integer iwksp,
integer nw,
doublereal wksp,
integer iparm,
doublereal rparm,
integer ierr 
)

Symmetric successive overrelaxation conjugate gradient

Parameters:
nn Order of linear system
ia array of row offsets
ja array of column indices
a array of matrix values
rhs array of right hand side of system
u solution array
iwksp int array used by itpack for calculations
nw size of iwskp and wksp
wksp double array used by itpack for calculations
iparm array of 12 integer parameters
rparm array of 12 double parameters
ierr holds error flag on return

int ssorsi_ ( integer nn,
integer ia,
integer ja,
doublereal a,
doublereal rhs,
doublereal u,
integer iwksp,
integer nw,
doublereal wksp,
integer iparm,
doublereal rparm,
integer ierr 
)

Symmetric successive overrelaxation semi-iteration

Parameters:
nn Order of linear system
ia array of row offsets
ja array of column indices
a array of matrix values
rhs array of right hand side of system
u solution array
iwksp int array used by itpack for calculations
nw size of iwskp and wksp
wksp double array used by itpack for calculations
iparm array of 12 integer parameters
rparm array of 12 double parameters
ierr holds error flag on return

int sum3_ ( integer n,
doublereal c1,
doublereal x1,
doublereal c2,
doublereal x2,
doublereal c3,
doublereal x3 
)

doublereal tau_ ( integer ii  ) 

E_f timer_ ( v3p_netlib_real *  timdmy  ) 

logical tstchg_ ( integer ibmth  ) 

int unscal_ ( integer n,
integer ia,
integer ja,
doublereal a,
doublereal rhs,
doublereal u,
doublereal d__ 
)

int vevmw_ ( integer n,
doublereal v,
doublereal w 
)

int vevpw_ ( integer n,
doublereal v,
doublereal w 
)

int vfill_ ( integer n,
doublereal v,
doublereal val 
)

Fill all entires of nn-sized array u with value

Parameters:
n size of array
v array
val value to fill array with

int vout_ ( integer n,
doublereal v,
integer iswt,
integer noutt 
)

int wevmw_ ( integer n,
doublereal v,
doublereal w 
)

int zbrent_ ( integer n,
doublereal tri,
doublereal eps,
integer nsig,
doublereal aa,
doublereal bb,
integer maxfnn,
integer ier 
)


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