C Index Page
Keyword Index for the NAG Library Manual
NAG Library Manual

Keyword : Complex

F01FCF   Complex matrix exponential
F01FDF   Complex Hermitian matrix exponential
F01FFF   Function of a complex Hermitian matrix
F01FJF   Complex matrix logarithm
F01FKF   Exponential, sine, cosine, sinh or cosh of a complex matrix (Schur–Parlett algorithm)
F01FLF   Function of a complex matrix (using numerical differentiation)
F01FMF   Function of a complex matrix (using user-supplied derivatives)
F01HAF   Action of a complex matrix exponential on a complex matrix
F01HBF   Action of a complex matrix exponential on a complex matrix (reverse communication)
F01KAF   Condition number for the exponential, logarithm, sine, cosine, sinh or cosh of a complex matrix
F01KBF   Condition number for a function of a complex matrix (using numerical differentiation)
F01KCF   Condition number for a function of a complex matrix (using user-supplied derivatives)
F06HMF   Apply plane rotation with real cosine and complex sine
F06SAF   Matrix-vector product, complex rectangular matrix
F06SBF   Matrix-vector product, complex rectangular band matrix
F06SCF   Matrix-vector product, complex Hermitian matrix
F06SDF   Matrix-vector product, complex Hermitian band matrix
F06SEF   Matrix-vector product, complex Hermitian packed matrix
F06SFF   Matrix-vector product, complex triangular matrix
F06SGF   Matrix-vector product, complex triangular band matrix
F06SHF   Matrix-vector product, complex triangular packed matrix
F06SJF   System of equations, complex triangular matrix
F06SKF   System of equations, complex triangular band matrix
F06SLF   System of equations, complex triangular packed matrix
F06SMF   Rank-1 update, complex rectangular matrix, unconjugated vector
F06SNF   Rank-1 update, complex rectangular matrix, conjugated vector
F06SPF   Rank-1 update, complex Hermitian matrix
F06SQF   Rank-1 update, complex Hermitian packed matrix
F06SRF   Rank-2 update, complex Hermitian matrix
F06SSF   Rank-2 update, complex Hermitian packed matrix
F06TAF   Matrix-vector product, complex symmetric matrix
F06TBF   Rank-1 update, complex symmetric matrix
F06TCF   Matrix-vector product, complex symmetric packed matrix
F06TDF   Rank-1 update, complex symmetric packed matrix
F06WPF   Solves system of equations with multiple right-hand sides, complex triangular coefficient matrix, Rectangular Full Packed format
F06WQF   Rank-k update of a complex Hermitian matrix, Rectangular Full Packed format
F06ZAF   Matrix-matrix product, two complex rectangular matrices
F06ZCF   Matrix-matrix product, one complex Hermitian matrix, one complex rectangular matrix
F06ZFF   Matrix-matrix product, one complex triangular matrix, one complex rectangular matrix
F06ZJF   Solves system of equations with multiple right-hand sides, complex triangular coefficient matrix
F06ZPF   Rank-k update of a complex Hermitian matrix
F06ZRF   Rank-2k update of a complex Hermitian matrix
F06ZTF   Matrix-matrix product, one complex symmetric matrix, one complex rectangular matrix
F06ZUF   Rank-k update of a complex symmetric matrix
F06ZWF   Rank-2k update of a complex symmetric matrix
F07ANF   Computes the solution to a complex system of linear equations
F07APF   Uses the LU factorization to compute the solution, error-bound and condition estimate for a complex system of linear equations
F07AQF   Mixed precision complex system solver
F07ARF   LU factorization of complex m by n matrix
F07ASF   Solution of complex system of linear equations, multiple right-hand sides, matrix already factorized by F07ARF
F07ATF   Computes row and column scalings intended to equilibrate a general complex matrix and reduce its condition number
F07AUF   Estimate condition number of complex matrix, matrix already factorized by F07ARF
F07AVF   Refined solution with error bounds of complex system of linear equations, multiple right-hand sides
F07AWF   Inverse of complex matrix, matrix already factorized by F07ARF
F07BNF   Computes the solution to a complex banded system of linear equations
F07BPF   Uses the LU factorization to compute the solution, error-bound and condition estimate for a complex banded system of linear equations
F07BRF   LU factorization of complex m by n band matrix
F07BSF   Solution of complex band system of linear equations, multiple right-hand sides, matrix already factorized by F07BRF
F07BTF   Computes row and column scalings intended to equilibrate a complex banded matrix and reduce its condition number
F07BUF   Estimate condition number of complex band matrix, matrix already factorized by F07BRF
F07BVF   Refined solution with error bounds of complex band system of linear equations, multiple right-hand sides
F07CNF   Computes the solution to a complex tridiagonal system of linear equations
F07CPF   Uses the LU factorization to compute the solution, error-bound and condition estimate for a complex tridiagonal system of linear equations
F07CRF   LU factorization of complex tridiagonal matrix
F07CSF   Solves a complex tridiagonal system of linear equations using the LU factorization computed by F07CDF
F07CUF   Estimates the reciprocal of the condition number of a complex tridiagonal matrix using the LU factorization computed by F07CDF
F07CVF   Refined solution with error bounds of complex tridiagonal system of linear equations, multiple right-hand sides
F07FNF   Computes the solution to a complex Hermitian positive definite system of linear equations
F07FPF   Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite system of linear equations
F07FQF   Uses the Cholesky factorization to compute the solution for a complex Hermitian positive definite system of linear equations
F07FRF   Cholesky factorization of complex Hermitian positive definite matrix
F07FSF   Solution of complex Hermitian positive definite system of linear equations, multiple right-hand sides, matrix already factorized by F07FRF
F07FTF   Computes row and column scalings intended to equilibrate a complex Hermitian positive definite matrix and reduce its condition number
F07FUF   Estimate condition number of complex Hermitian positive definite matrix, matrix already factorized by F07FRF
F07FVF   Refined solution with error bounds of complex Hermitian positive definite system of linear equations, multiple right-hand sides
F07FWF   Inverse of complex Hermitian positive definite matrix, matrix already factorized by F07FRF
F07GNF   Computes the solution to a complex Hermitian positive definite system of linear equations, packed storage
F07GPF   Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite system of linear equations, packed storage
F07GRF   Cholesky factorization of complex Hermitian positive definite matrix, packed storage
F07GSF   Solution of complex Hermitian positive definite system of linear equations, multiple right-hand sides, matrix already factorized by F07GRF, packed storage
F07GTF   Computes row and column scalings intended to equilibrate a complex Hermitian positive definite matrix and reduce its condition number, packed storage
F07GUF   Estimate condition number of complex Hermitian positive definite matrix, matrix already factorized by F07GRF, packed storage
F07GVF   Refined solution with error bounds of complex Hermitian positive definite system of linear equations, multiple right-hand sides, packed storage
F07GWF   Inverse of complex Hermitian positive definite matrix, matrix already factorized by F07GRF, packed storage
F07HNF   Computes the solution to a complex Hermitian positive definite banded system of linear equations
F07HPF   Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite banded system of linear equations
F07HRF   Cholesky factorization of complex Hermitian positive definite band matrix
F07HSF   Solution of complex Hermitian positive definite band system of linear equations, multiple right-hand sides, matrix already factorized by F07HRF
F07HTF   Computes row and column scalings intended to equilibrate a complex Hermitian positive definite banded matrix and reduce its condition number
F07HUF   Estimate condition number of complex Hermitian positive definite band matrix, matrix already factorized by F07HRF
F07HVF   Refined solution with error bounds of complex Hermitian positive definite band system of linear equations, multiple right-hand sides
F07JNF   Computes the solution to a complex Hermitian positive definite tridiagonal system of linear equations
F07JPF   Uses the modified Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite tridiagonal system of linear equations
F07JRF   Computes the modified Cholesky factorization of a complex Hermitian positive definite tridiagonal matrix
F07JSF   Solves a complex Hermitian positive definite tridiagonal system using the modified Cholesky factorization computed by F07JRF
F07KRF   Cholesky factorization of complex Hermitian positive semidefinite matrix
F07MNF   Computes the solution to a complex Hermitian system of linear equations
F07MPF   Uses the diagonal pivoting factorization to compute the solution to a complex Hermitian system of linear equations
F07MRF   Bunch–Kaufman factorization of complex Hermitian indefinite matrix
F07MSF   Solution of complex Hermitian indefinite system of linear equations, multiple right-hand sides, matrix already factorized by F07MRF
F07MUF   Estimate condition number of complex Hermitian indefinite matrix, matrix already factorized by F07MRF
F07MVF   Refined solution with error bounds of complex Hermitian indefinite system of linear equations, multiple right-hand sides
F07MWF   Inverse of complex Hermitian indefinite matrix, matrix already factorized by F07MRF
F07NNF   Computes the solution to a complex symmetric system of linear equations
F07NPF   Uses the diagonal pivoting factorization to compute the solution to a complex symmetric system of linear equations
F07NRF   Bunch–Kaufman factorization of complex symmetric matrix
F07NSF   Solution of complex symmetric system of linear equations, multiple right-hand sides, matrix already factorized by F07NRF
F07NUF   Estimate condition number of complex symmetric matrix, matrix already factorized by F07NRF
F07NVF   Refined solution with error bounds of complex symmetric system of linear equations, multiple right-hand sides
F07NWF   Inverse of complex symmetric matrix, matrix already factorized by F07NRF
F07PNF   Computes the solution to a complex Hermitian system of linear equations, packed storage
F07PPF   Uses the diagonal pivoting factorization to compute the solution to a complex Hermitian system of linear equations, packed storage
F07PRF   Bunch–Kaufman factorization of complex Hermitian indefinite matrix, packed storage
F07PSF   Solution of complex Hermitian indefinite system of linear equations, multiple right-hand sides, matrix already factorized by F07PRF, packed storage
F07PUF   Estimate condition number of complex Hermitian indefinite matrix, matrix already factorized by F07PRF, packed storage
F07PVF   Refined solution with error bounds of complex Hermitian indefinite system of linear equations, multiple right-hand sides, packed storage
F07PWF   Inverse of complex Hermitian indefinite matrix, matrix already factorized by F07PRF, packed storage
F07QNF   Computes the solution to a complex symmetric system of linear equations, packed storage
F07QPF   Uses the diagonal pivoting factorization to compute the solution to a complex symmetric system of linear equations, packed storage
F07QRF   Bunch–Kaufman factorization of complex symmetric matrix, packed storage
F07QSF   Solution of complex symmetric system of linear equations, multiple right-hand sides, matrix already factorized by F07QRF, packed storage
F07QUF   Estimate condition number of complex symmetric matrix, matrix already factorized by F07QRF, packed storage
F07QVF   Refined solution with error bounds of complex symmetric system of linear equations, multiple right-hand sides, packed storage
F07QWF   Inverse of complex symmetric matrix, matrix already factorized by F07QRF, packed storage
F07TSF   Solution of complex triangular system of linear equations, multiple right-hand sides
F07TUF   Estimate condition number of complex triangular matrix
F07TVF   Error bounds for solution of complex triangular system of linear equations, multiple right-hand sides
F07TWF   Inverse of complex triangular matrix
F07USF   Solution of complex triangular system of linear equations, multiple right-hand sides, packed storage
F07UUF   Estimate condition number of complex triangular matrix, packed storage
F07UVF   Error bounds for solution of complex triangular system of linear equations, multiple right-hand sides, packed storage
F07UWF   Inverse of complex triangular matrix, packed storage
F07VSF   Solution of complex band triangular system of linear equations, multiple right-hand sides
F07VUF   Estimate condition number of complex band triangular matrix
F07VVF   Error bounds for solution of complex band triangular system of linear equations, multiple right-hand sides
F07WRF   Cholesky factorization of complex Hermitian positive definite matrix, Rectangular Full Packed format
F07WSF   Solution of complex Hermitian positive definite system of linear equations, multiple right-hand sides, coefficient matrix already factorized by F07WRF, Rectangular Full Packed format
F07WWF   Inverse of complex Hermitian positive definite matrix, matrix already factorized by F07WRF, Rectangular Full Packed format
F11DPF   Solution of complex linear system involving incomplete LU preconditioning matrix generated by F11DNF
F11JPF   Solution of complex linear system involving incomplete Cholesky preconditioning matrix generated by F11JNF
F16GCF   Complex scaled vector accumulation

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Keyword Index for the NAG Library Manual
NAG Library Manual

© The Numerical Algorithms Group Ltd, Oxford UK. 2013