Section 3: library functions
cptrfs.f – SynopsisFunctions/Subroutinessubroutine cptrfs (UPLO, N, NRHS, D, E, DF, EF, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) CPTRFS Function/Subroutine Documentationsubroutine cptrfs (characterUPLO, integerN, integerNRHS, real, dimension( * )D, complex, dimension( * )E, real, dimension( * )DF, complex, dimension( * )EF, complex, dimension( ldb, * )B, integerLDB, complex, dimension( ldx, * )X, integerLDX,…
cpteqr.f – SynopsisFunctions/Subroutinessubroutine cpteqr (COMPZ, N, D, E, Z, LDZ, WORK, INFO) CPTEQR Function/Subroutine Documentationsubroutine cpteqr (characterCOMPZ, integerN, real, dimension( * )D, real, dimension( * )E, complex, dimension( ldz, * )Z, integerLDZ, real, dimension( * )WORK, integerINFO)CPTEQR Purpose: CPTEQR computes all eigenvalues and, optionally, eigenvectors of a symmetric positive definite tridiagonal matrix by first factoring…
cptcon.f – SynopsisFunctions/Subroutinessubroutine cptcon (N, D, E, ANORM, RCOND, RWORK, INFO) CPTCON Function/Subroutine Documentationsubroutine cptcon (integerN, real, dimension( * )D, complex, dimension( * )E, realANORM, realRCOND, real, dimension( * )RWORK, integerINFO)CPTCON Purpose: CPTCON computes the reciprocal of the condition number (in the 1-norm) of a complex Hermitian positive definite tridiagonal matrix using the factorization A…
cpstrf.f – SynopsisFunctions/Subroutinessubroutine cpstrf (UPLO, N, A, LDA, PIV, RANK, TOL, WORK, INFO) CPSTRF Function/Subroutine Documentationsubroutine cpstrf (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( n )PIV, integerRANK, realTOL, real, dimension( 2*n )WORK, integerINFO)CPSTRF Purpose: CPSTRF computes the Cholesky factorization with complete pivoting of a complex Hermitian positive semidefinite matrix A. The factorization…
cpstf2.f – SynopsisFunctions/Subroutinessubroutine cpstf2 (UPLO, N, A, LDA, PIV, RANK, TOL, WORK, INFO) CPSTF2 computes the Cholesky factorization with complete pivoting of a real symmetric or complex Hermitian positive semi-definite matrix. Function/Subroutine Documentationsubroutine cpstf2 (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( n )PIV, integerRANK, realTOL, real, dimension( 2*n )WORK, integerINFO)CPSTF2 computes the…
cproj, cprojf, cprojl – project into Riemann Sphere Synopsis#include <complex.h> double complex cproj(double complex z); float complex cprojf(float complex z); long double complex cprojl(long double complex z); Link with -lm. DescriptionThese functions project a point in the plane onto the surface of a Riemann Sphere, the one-point compactification of the complex plane. Each finite point…
cproj, cprojf, cprojl – project into Riemann Sphere Synopsis#include <complex.h> double complex cproj(double complex z); float complex cprojf(float complex z); long double complex cprojl(long double complex z); Link with -lm. DescriptionThese functions project a point in the plane onto the surface of a Riemann Sphere, the one-point compactification of the complex plane. Each finite point…
cproj, cprojf, cprojl – project into Riemann Sphere Synopsis#include <complex.h> double complex cproj(double complex z); float complex cprojf(float complex z); long double complex cprojl(long double complex z); Link with -lm. DescriptionThese functions project a point in the plane onto the surface of a Riemann Sphere, the one-point compactification of the complex plane. Each finite point…
cpptrs.f – SynopsisFunctions/Subroutinessubroutine cpptrs (UPLO, N, NRHS, AP, B, LDB, INFO) CPPTRS Function/Subroutine Documentationsubroutine cpptrs (characterUPLO, integerN, integerNRHS, complex, dimension( * )AP, complex, dimension( ldb, * )B, integerLDB, integerINFO)CPPTRS Purpose: CPPTRS solves a system of linear equations A*X = B with a Hermitian positive definite matrix A in packed storage using the Cholesky factorization A…
cpptri.f – SynopsisFunctions/Subroutinessubroutine cpptri (UPLO, N, AP, INFO) CPPTRI Function/Subroutine Documentationsubroutine cpptri (characterUPLO, integerN, complex, dimension( * )AP, integerINFO)CPPTRI Purpose: CPPTRI computes the inverse of a complex Hermitian positive definite matrix A using the Cholesky factorization A = U**H*U or A = L*L**H computed by CPPTRF. Parameters: UPLO UPLO is CHARACTER*1 = ‘U’: Upper triangular…
cpptrf.f – SynopsisFunctions/Subroutinessubroutine cpptrf (UPLO, N, AP, INFO) CPPTRF Function/Subroutine Documentationsubroutine cpptrf (characterUPLO, integerN, complex, dimension( * )AP, integerINFO)CPPTRF Purpose: CPPTRF computes the Cholesky factorization of a complex Hermitian positive definite matrix A stored in packed format. The factorization has the form A = U**H * U, if UPLO = ‘U’, or A = L…
cppsvx.f – SynopsisFunctions/Subroutinessubroutine cppsvx (FACT, UPLO, N, NRHS, AP, AFP, EQUED, S, B, LDB, X, LDX, RCOND, FERR, BERR, WORK, RWORK, INFO) CPPSVX computes the solution to system of linear equations A * X = B for OTHER matrices Function/Subroutine Documentationsubroutine cppsvx (characterFACT, characterUPLO, integerN, integerNRHS, complex, dimension( * )AP, complex, dimension( * )AFP, characterEQUED,…
cppsv.f – SynopsisFunctions/Subroutinessubroutine cppsv (UPLO, N, NRHS, AP, B, LDB, INFO) CPPSV computes the solution to system of linear equations A * X = B for OTHER matrices Function/Subroutine Documentationsubroutine cppsv (characterUPLO, integerN, integerNRHS, complex, dimension( * )AP, complex, dimension( ldb, * )B, integerLDB, integerINFO) CPPSV computes the solution to system of linear equations A…
cpprfs.f – SynopsisFunctions/Subroutinessubroutine cpprfs (UPLO, N, NRHS, AP, AFP, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) CPPRFS Function/Subroutine Documentationsubroutine cpprfs (characterUPLO, integerN, integerNRHS, complex, dimension( * )AP, complex, dimension( * )AFP, complex, dimension( ldb, * )B, integerLDB, complex, dimension( ldx, * )X, integerLDX, real, dimension( * )FERR, real, dimension( * )BERR, complex, dimension(…
cppequ.f – SynopsisFunctions/Subroutinessubroutine cppequ (UPLO, N, AP, S, SCOND, AMAX, INFO) CPPEQU Function/Subroutine Documentationsubroutine cppequ (characterUPLO, integerN, complex, dimension( * )AP, real, dimension( * )S, realSCOND, realAMAX, integerINFO)CPPEQU Purpose: CPPEQU computes row and column scalings intended to equilibrate a Hermitian positive definite matrix A in packed storage and reduce its condition number (with respect to…
cppcon.f – SynopsisFunctions/Subroutinessubroutine cppcon (UPLO, N, AP, ANORM, RCOND, WORK, RWORK, INFO) CPPCON Function/Subroutine Documentationsubroutine cppcon (characterUPLO, integerN, complex, dimension( * )AP, realANORM, realRCOND, complex, dimension( * )WORK, real, dimension( * )RWORK, integerINFO)CPPCON Purpose: CPPCON estimates the reciprocal of the condition number (in the 1-norm) of a complex Hermitian positive definite packed matrix using the…
cpow, cpowf, cpowl – complex power function Synopsis#include <complex.h> double complex cpow(double complex x, complex double z); float complex cpowf(float complex x, complex float z); long double complex cpowl(long double complex x, complex long double z); Link with -lm.DescriptionThese functions calculate x raised to the power z (with a branch cut for x along the…
cpow, cpowf, cpowl – complex power function Synopsis#include <complex.h> double complex cpow(double complex x, complex double z); float complex cpowf(float complex x, complex float z); long double complex cpowl(long double complex x, complex long double z); Link with -lm.DescriptionThese functions calculate x raised to the power z (with a branch cut for x along the…
cpow, cpowf, cpowl – complex power function Synopsis#include <complex.h> double complex cpow(double complex x, complex double z); float complex cpowf(float complex x, complex float z); long double complex cpowl(long double complex x, complex long double z); Link with -lm.DescriptionThese functions calculate x raised to the power z (with a branch cut for x along the…
cpotrs.f – SynopsisFunctions/Subroutinessubroutine cpotrs (UPLO, N, NRHS, A, LDA, B, LDB, INFO) CPOTRS Function/Subroutine Documentationsubroutine cpotrs (characterUPLO, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, integerINFO)CPOTRS Purpose: CPOTRS solves a system of linear equations A*X = B with a Hermitian positive definite matrix A using the Cholesky factorization A…