Section 3: library functions
cptsv.f – Synopsis Functions/Subroutines subroutine cptsv (N, NRHS, D, E, B, LDB, INFO) CPTSV computes the solution to system of linear equations A * X = B for PT matrices Function/Subroutine Documentation subroutine cptsv (integerN, integerNRHS, real, dimension( * )D, complex, dimension( * )E, complex, dimension( ldb, * )B, integerLDB, integerINFO) CPTSV computes the solution…
cptrfs.f – Synopsis Functions/Subroutines subroutine cptrfs (UPLO, N, NRHS, D, E, DF, EF, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) CPTRFS Function/Subroutine Documentation subroutine cptrfs (characterUPLO, integerN, integerNRHS, real, dimension( * )D, complex, dimension( * )E, real, dimension( * )DF, complex, dimension( * )EF, complex, dimension( ldb, * )B, integerLDB, complex, dimension( ldx,…
cpteqr.f – Synopsis Functions/Subroutines subroutine cpteqr (COMPZ, N, D, E, Z, LDZ, WORK, INFO) CPTEQR Function/Subroutine Documentation subroutine 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…
cptcon.f – Synopsis Functions/Subroutines subroutine cptcon (N, D, E, ANORM, RCOND, RWORK, INFO) CPTCON Function/Subroutine Documentation subroutine 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…
cpstrf.f – Synopsis Functions/Subroutines subroutine cpstrf (UPLO, N, A, LDA, PIV, RANK, TOL, WORK, INFO) CPSTRF Function/Subroutine Documentation subroutine 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…
cpstf2.f – Synopsis Functions/Subroutines subroutine 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 Documentation subroutine cpstf2 (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( n )PIV, integerRANK, realTOL, real, dimension( 2*n )WORK,…
NAME 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. DESCRIPTION These functions project a point in the plane onto the surface of a Riemann Sphere, the one-point compactification of the complex plane….
NAME 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. DESCRIPTION These functions project a point in the plane onto the surface of a Riemann Sphere, the one-point compactification of the complex plane….
NAME 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. DESCRIPTION These functions project a point in the plane onto the surface of a Riemann Sphere, the one-point compactification of the complex plane….
cpptrs.f – Synopsis Functions/Subroutines subroutine cpptrs (UPLO, N, NRHS, AP, B, LDB, INFO) CPPTRS Function/Subroutine Documentation subroutine 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…
cpptri.f – Synopsis Functions/Subroutines subroutine cpptri (UPLO, N, AP, INFO) CPPTRI Function/Subroutine Documentation subroutine 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…
cpptrf.f – Synopsis Functions/Subroutines subroutine cpptrf (UPLO, N, AP, INFO) CPPTRF Function/Subroutine Documentation subroutine 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’,…
cppsvx.f – Synopsis Functions/Subroutines subroutine 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 Documentation subroutine cppsvx (characterFACT, characterUPLO, integerN, integerNRHS, complex, dimension( * )AP, complex, dimension(…
cppsv.f – Synopsis Functions/Subroutines subroutine 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 Documentation subroutine cppsv (characterUPLO, integerN, integerNRHS, complex, dimension( * )AP, complex, dimension( ldb, * )B, integerLDB, integerINFO) CPPSV computes the solution to system of…
cpprfs.f – Synopsis Functions/Subroutines subroutine cpprfs (UPLO, N, NRHS, AP, AFP, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) CPPRFS Function/Subroutine Documentation subroutine 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( *…
cppequ.f – Synopsis Functions/Subroutines subroutine cppequ (UPLO, N, AP, S, SCOND, AMAX, INFO) CPPEQU Function/Subroutine Documentation subroutine 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…
cppcon.f – Synopsis Functions/Subroutines subroutine cppcon (UPLO, N, AP, ANORM, RCOND, WORK, RWORK, INFO) CPPCON Function/Subroutine Documentation subroutine 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…
NAME 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. DESCRIPTION These functions calculate x raised to the power z (with a branch…
NAME 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. DESCRIPTION These functions calculate x raised to the power z (with a branch…
NAME 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. DESCRIPTION These functions calculate x raised to the power z (with a branch…