A00ACF | Check availability of a valid licence key |
E04NPF | Initialization routine for E04NQF |
E04NQF | LP or QP problem (suitable for sparse problems) |
E04NRF | Supply optional parameter values for E04NQF from external file |
E04NSF | Set a single option for E04NQF from a character string |
E04NTF | Set a single option for E04NQF from an INTEGER argument |
E04NUF | Set a single option for E04NQF from a double precision argument |
E04NXF | Get the setting of an INTEGER valued option of E04NQF |
E04NYF | Get the setting of a double precision valued option of E04NQF |
E04VGF | Initialization routine for E04VHF |
E04VHF | General sparse nonlinear optimizer |
E04VJF | Determine the pattern of nonzeros in the Jacobian matrix for E04VHF |
E04VKF | Supply optional parameter values for E04VHF from external file |
E04VLF | Set a single option for E04VHF from a character string |
E04VMF | Set a single option for E04VHF from an INTEGER argument |
E04VNF | Set a single option for E04VHF from a double precision argument |
E04VRF | Get the setting of an INTEGER valued option of E04VHF |
E04VSF | Get the setting of a double precision valued option of E04VHF |
E04WCF | Initialization routine for E04WDF |
E04WDF | Solves the nonlinear programming (NP) problem |
E04WEF | Supply optional parameter values for E04WDF from external file |
E04WFF | Set a single option for E04WDF from a character string |
E04WGF | Set a single option for E04WDF from an INTEGER argument |
E04WHF | Set a single option for E04WDF from a double precision argument |
E04WJF | Determine whether an E04WDF option has been set or not |
E04WKF | Get the setting of an INTEGER valued option of E04WDF |
E04WLF | Get the setting of a double precision valued option of E04WDF |
F04BAF | Computes the solution and error-bound to a real system of linear equations |
F04BBF | Computes the solution and error-bound to a real banded system of linear equations |
F04BCF | Computes the solution and error-bound to a real tridiagonal system of linear equations |
F04BDF | Computes the solution and error-bound to a real symmetric positive-definite system of linear equations |
F04BEF | Computes the solution and error-bound to a real symmetric positive-definite system of linear equations (stored in packed format) |
F04BFF | Computes the solution and error-bound to a real symmetric positive-definite banded system of linear equations |
F04BGF | Computes the solution and error-bound to a real symmetric positive-definite tridiagonal system of linear equations |
F04BHF | Computes the solution and error-bound to a real symmetric system of linear equations |
F04BJF | Computes the solution and error-bound to a real symmetric system of linear equations (stored in packed format) |
F04CAF | Computes the solution and error-bound to a complex system of linear equations |
F04CBF | Computes the solution and error-bound to a complex banded system of linear equations |
F04CCF | Computes the solution and error-bound to a complex tridiagonal system of linear equations |
F04CDF | Computes the solution and error-bound to a complex Hermitian positive-definite system of linear equations |
F04CEF | Computes the solution and error-bound to a complex Hermitian positive-definite system of linear equations (stored in packed format) |
F04CFF | Computes the solution and error-bound to a complex Hermitian positive-definite banded system of linear equations |
F04CGF | Computes the solution and error-bound to a complex Hermitian positive-definite tridiagonal system of linear equations |
F04CHF | Computes the solution and error-bound to a complex Hermitian system of linear equations |
F04CJF | Computes the solution and error-bound to a complex Hermitian system of linear equations (stored in packed format) |
F04DHF | Computes the solution and error-bound to a complex symmetric system of linear equations |
F04DJF | Computes the solution and error-bound to a complex symmetric system of linear equations (stored in packed format). |
F06FEF | Multiply real vector by reciprocal of scalar |
F06KEF | Multiply complex vector by reciprocal of real scalar |
F06RNF | 1-norm, ∞-norm, Frobenius norm, largest absolute element, real tridiagonal matrix |
F06RPF | 1-norm, ∞-norm, Frobenius norm, largest absolute element, real symmetric tridiagonal matrix |
F06TAF | Matrix-vector product, complex symmetric matrix |
F06TBF | Rank-1 update, complex symetric matrix |
F06TCF | Matrix-vector product, complex symmetric packed matrix |
F06TDF | Rank-1 update, complex symetric packed matrix |
F06UNF | 1-norm, ∞-norm, Frobenius norm, largest absolute element, complex tridiagonal matrix |
F06UPF | 1-norm, ∞-norm, Frobenius norm, largest absolute element, complex Hermitian tridiagonal matrix |
F07AAF | Computes the solution to a real system of linear equations |
F07ABF | Uses the LU factorization to compute the solution, error-bound and condition estimate for a real system of linear equations |
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 |
F07BAF | Computes the solution to a real banded system of linear equations |
F07BBF | Uses the LU factorization to compute the solution, error-bound and condition estimate for a real banded system of linear equations |
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 |
F07CAF | Computes the solution to a real tridiagonal system of linear equations |
F07CBF | Uses the LU factorization to compute the solution, error-bound and condition estimate for a real tridiagonal system of linear equations |
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 |
F07FAF | Computes the solution to a real symmetric positive-definite system of linear equations |
F07FBF | Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive-definite system of linear equations |
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 |
F07GAF | Computes the solution to a real symmetric positive-definite system of linear equations (stored in packed format) |
F07GBF | Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive-definite system of linear equations (stored in packed format) |
F07GNF | Computes the solution to a complex Hermitian positive-definite system of linear equations (stored in packed format) |
F07GPF | Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive-definite system of linear equations (stored in packed format) |
F07HAF | Computes the solution to a real symmetric positive-definite banded system of linear equations (stored in packed format) |
F07HBF | Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive-definite banded system of linear equations (stored in packed format) |
F07HNF | Computes the solution to a complex Hermitian positive-definite banded system of linear equations (stored in packed format) |
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 (stored in packed format) |
F07JAF | Computes the solution to a real symmetric positive-definite tridiagonal system of linear equations |
F07JBF | Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive-definite tridiagonal system of linear equations |
F07JNF | Computes the solution to a complex Hermitian positive-definite tridiagonal system of linear equations |
F07JPF | Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive-definite tridiagonal system of linear equations |
F07MAF | Computes the solution to a real symmetric system of linear equations |
F07MBF | Uses the diagonal pivoting factorization to compute the solution to a real symmetric system of linear equations |
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 |
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 |
F07PAF | Computes the solution to a real symmetric system of linear equations (stored in packed format) |
F07PBF | Uses the diagonal pivoting factorization to compute the solution to a real symmetric system of linear equations (stored in packed format) |
F07PNF | Computes the solution to a complex Hermitian system of linear equations (stored in packed format) |
F07PPF | Uses the diagonal pivoting factorization to compute the solution to a complex Hermitian system of linear equations (stored in packed format) |
F07QNF | Computes the solution to a complex symmetric system of linear equations (stored in packed format) |
F07QPF | Uses the diagonal pivoting factorization to compute the solution to a complex symmetric system of linear equations (stored in packed format) |
F08AAF | Solves an overdetermined or underdetermined real linear system |
F08ANF | Solves an overdetermined or underdetermined complex linear system |
F08BAF | Computes the minimum-norm solution to a real linear least-squares problem |
F08BNF | Computes the minimum-norm solution to a complex linear least-squares problem |
F08FAF | Computes all eigenvalues and, optionally, eigenvectors of a real symmetric matrix |
F08FBF | Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric matrix |
F08FDF | Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric matrix (divide-and-conquer) |
F08FNF | Computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix |
F08FPF | Computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix |
F08FRF | Computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix (divide-and-conquer) |
F08GAF | Computes all eigenvalues and, optionally, eigenvectors of a real symmetric matrix (stored in packed format) |
F08GBF | Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric matrix (stored in packed format) |
F08GNF | Computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix (stored in packed format) |
F08GPF | Computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix (stored in packed format) |
F08HAF | Computes all eigenvalues and, optionally, eigenvectors of a real symmetric band matrix |
F08HBF | Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric band matrix |
F08HNF | Computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian band matrix |
F08HPF | Computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian band matrix |
F08JAF | Computes all eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix |
F08JBF | Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix |
F08JDF | Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix (Relatively Robust representations). |
F08KAF | Computes the minimum-norm solution to a real linear least-squares problem using singular value decomposition |
F08KBF | Computes the singular value decomposition of a real matrix, optionally computing the left and/or right singular vectors |
F08KCF | Computes the minimum-norm solution to a real linear least-squares problem using singular value decomposition (divide-and-conquer) |
F08KDF | Computes the singular value decomposition of a real matrix, optionally computing the left and/or right singular vectors (divide-and-conquer) |
F08KNF | Computes the minimum-norm solution to a complex linear least-squares problem using singular value decomposition |
F08KPF | Computes the singular value decomposition of a complex matrix, optionally computing the left and/or right singular vectors |
F08KQF | Computes the minimum-norm solution to a complex linear least-squares problem using singular value decomposition (divide-and-conquer) |
F08KRF | Computes the singular value decomposition of a complex matrix, optionally computing the left and/or right singular vectors (divide-and-conquer) |
F08NAF | Computes all eigenvalues and, optionally, left and/or right eigenvectors of a real nonsymmetric matrix |
F08NBF | Computes all eigenvalues and, optionally, left and/or right eigenvectors of a real nonsymmetric matrix; also, optionally, the balancing transformation, the reciprocal condition numbers for the eigenvalues and for the right eigenvectors |
F08NNF | Computes all eigenvalues and, optionally, left and/or right eigenvectors of a complex nonsymmetric matrix |
F08NPF | Computes all eigenvalues and, optionally, left and/or right eigenvectors of a complex nonsymmetric matrix; also, optionally, the balancing transformation, the reciprocal condition numbers for the eigenvalues and for the right eigenvectors |
F08PAF | Computes for real square nonsymmetric matrix, the eigenvalues, the real Schur form, and, optionally, the matrix of Schur vectors |
F08PBF | Computes for real square nonsymmetric matrix, the eigenvalues, the real Schur form, and, optionally, the matrix of Schur vectors; also, optionally, computes reciprocal condition numbers for selected eigenvalues |
F08PNF | Computes for complex square nonsymmetric matrix, the eigenvalues, the Schur form, and, optionally, the matrix of Schur vectors |
F08PPF | Computes for real square nonsymmetric matrix, the eigenvalues, the Schur form, and, optionally, the matrix of Schur vectors; also, optionally, computes reciprocal condition numbers for selected eigenvalues |
F08SAF | Computes all the eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem |
F08SBF | Computes selected eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem |
F08SCF | Computes all the eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem (divide-and-conquer) |
F08SNF | Computes all the eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite eigenproblem |
F08SPF | Computes selected eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite eigenproblem |
F08SQF | Computes all the eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite eigenproblem (divide-and-conquer) |
F08TAF | Computes all the eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem (packed storage format) |
F08TBF | Computes selected eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem (packed storage format) |
F08TCF | Computes all the eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem (packed storage format, divide-and-conquer) |
F08TNF | Computes all the eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite eigenproblem (packed storage format) |
F08TPF | Computes selected eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite eigenproblem (packed storage format) |
F08TQF | Computes selected eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite eigenproblem (packed storage format, divide-and-conquer) |
F08UAF | Computes all the eigenvalues, and optionally, the eigenvectors of a real banded generalized symmetric-definite eigenproblem |
F08UBF | Computes selected eigenvalues, and optionally, the eigenvectors of a real banded generalized symmetric-definite eigenproblem |
F08UCF | Computes all the eigenvalues, and optionally, the eigenvectors of a real banded generalized symmetric-definite eigenproblem (divide-and-conquer) |
F08UNF | Computes all the eigenvalues, and optionally, the eigenvectors of a complex banded generalized Hermitian-definite eigenproblem |
F08UPF | Computes selected eigenvalues, and optionally, the eigenvectors of a complex banded generalized Hermitian-definite eigenproblem |
F08UQF | Computes all the eigenvalues, and optionally, the eigenvectors of a complex banded generalized Hermitian-definite eigenproblem (divide-and-conquer) |
F08VAF | Computes the generalized singular value decomposition of a real matrix pair |
F08VNF | Computes the generalized singular value decomposition of a complex matrix pair |
F08WAF | Computes, for a real nonsymmetric matrix pair, the generalized eigenvalues, and optionally, the left and/or right generalized eigenvectors |
F08WBF | Computes, for a real nonsymmetric matrix pair, the generalized eigenvalues, and optionally, the left and/or right generalized eigenvectors; also, optionally, the balancing transformation, the reciprocal condition numbers for the eigenvalues and for the right eigenvectors |
F08WNF | Computes, for a complex nonsymmetric matrix pair, the generalized eigenvalues, and optionally, the left and/or right generalized eigenvectors |
F08WPF | Computes, for a complex nonsymmetric matrix pair, the generalized eigenvalues, and optionally, the left and/or right generalized eigenvectors; also, optionally, the balancing transformation, the reciprocal condition numbers for the eigenvalues and for the right eigenvectors |
F08XAF | Computes, for a real nonsymmetric matrix pair, the generalized eigenvalues, the generalized real Schur form and, optionally, the left and/or right matrices of Schur vectors |
F08XBF | Computes, for a real nonsymmetric matrix pair, the generalized eigenvalues, the generalized real Schur form and, optionally, the left and/or right matrices of Schur vectors; also, optionally, computes reciprocal condition numbers for selected eigenvalues |
F08XNF | Computes, for a complex nonsymmetric matrix pair, the generalized eigenvalues, the generalized complex Schur form and, optionally, the left and/or right matrices of Schur vectors |
F08XPF | Computes, for a complex nonsymmetric matrix pair, the generalized eigenvalues, the generalized complex Schur form and, optionally, the left and/or right matrices of Schur vectors; also, optionally, computes reciprocal condition numbers for selected eigenvalues |
F08ZAF | Solves the real linear equality-constrained least-squares (LSE) problem |
F08ZBF | Solves a real general Gauss–Markov linear model (GLM) problem |
F08ZNF | Solves the complex linear equality-constrained least-squares (LSE) problem |
F08ZPF | Solves a complex general Gauss–Markov linear model (GLM) problem |
F11MDF | Real sparse nonsymmetric linear systems, setup for F11MEF |
F11MEF | LU factorization of real sparse matrix |
F11MFF | Solution of real sparse simultaneous linear equations (coefficient matrix already factorized) |
F11MGF | Estimate condition number of real matrix, matrix already factorized by F11MEF |
F11MHF | Refined solution with error bounds of real system of linear equations, multiple right-hand sides |
F11MKF | Real sparse nonsymmetric matrix matrix multiply, compressed column storage |
F11MLF | 1-norm, ∞-norm, largest absolute element, real general matrix |
F11MMF | Real sparse nonsymmetric linear systems, diagnostic for F11MEF |
F12AAF | Initialization routine for (F12ABF) computing selected eigenvalues and, optionally, eigenvectors of a real nonsymmetric sparse (standard or generalized) eigenproblem |
F12ABF | Implements a reverse communication interface for the Implicitly Restarted Arnoldi iteration for computing selected eigenvalues and, optionally, eigenvectors of a real nonsymmetric sparse (standard or generalized) eigenproblem |
F12ACF | Returns the converged approximations (as determined by F12ABF) to eigenvalues of a real nonsymmetric sparse (standard or generalized) eigenproblem and, optionally, the corresponding approximate eigenvectors and/or an orthonormal basis for the associated approximate invariant subspace |
F12ADF | Set a single option from a string (F12ABF/F12ACF/F12AGF) |
F12AEF | Provides monitoring information for F12ABF |
F12AFF | Initialization routine for (F12AGF) computing selected eigenvalues and, optionally, eigenvectors of a real nonsymmetric banded (standard or generalized) eigenproblem |
F12AGF | Computes approximations to selected eigenvalues of a real nonsymmetric banded (standard or generalized) eigenproblem and, optionally, the corresponding approximate eigenvectors and/or an orthonormal basis for the associated approximate invariant subspace |
F12ANF | Initialization routine for (F12APF) computing selected eigenvalues and, optionally, eigenvectors of a complex sparse (standard or generalized) eigenproblem |
F12APF | Implements a reverse communication interface for the Implicitly Restarted Arnoldi iteration for computing selected eigenvalues and, optionally, eigenvectors of a complex sparse (standard or generalized) eigenproblem |
F12AQF | Returns the converged approximations (as determined by F12ABF) to eigenvalues of a complex sparse (standard or generalized) eigenproblem and, optionally, the corresponding approximate eigenvectors and/or an orthonormal basis for the associated approximate invariant subspace |
F12ARF | Set a single option from a string (F12APF/F12AQF) |
F12ASF | Provides monitoring information for F12APF |
F12FAF | Initialization routine for (F12FBF) computing selected eigenvalues and, optionally, eigenvectors of a real symmetric sparse (standard or generalized) eigenproblem |
F12FBF | Implements a reverse communication interface for the Implicitly Restarted Arnoldi iteration for computing selected eigenvalues and, optionally, eigenvectors of a real symmetric sparse (standard or generalized) eigenproblem |
F12FCF | Returns the converged approximations (as determined by F12ABF) to eigenvalues of a real symmetric sparse (standard or generalized) eigenproblem and, optionally, the corresponding approximate eigenvectors and/or an orthonormal basis for the associated approximate invariant subspace |
F12FDF | Set a single option from a string (F12FBF/F12FCF/F12FGF) |
F12FEF | Provides monitoring information for F12FBF |
F12FFF | Initialization routine for (F12FGF) computing selected eigenvalues and, optionally, eigenvectors of a real symmetric banded (standard or generalized) eigenproblem |
F12FGF | Computes approximations to selected eigenvalues of a real symmetric banded (standard or generalized) eigenproblem and, optionally, the corresponding approximate eigenvectors and/or an orthonormal basis for the associated approximate invariant subspace |
G01ETF | Landau distribution function Φ (λ) |
G01EUF | Vavilov distribution function Φ_{V}(λ;κ,β^{2}) |
G01FTF | Landau inverse function Ψ(x) |
G01MTF | Landau density function φ (λ) |
G01MUF | Vavilov density function φ_{V} (λ;κ,β^{2}) |
G01PTF | Landau first moment function Φ_{1}(x) |
G01QTF | Landau second moment function Φ_{2}(x) |
G01RTF | Landau derivative function φ′(λ) |
G01ZUF | Initialization routine for G01MUF and G01EUF |
G02EFF | Stepwise linear regression |
G02JAF | Linear mixed effects regression using Restricted Maximum Likelihood (REML) |
G02JBF | Linear mixed effects regression using Maximum Likelihood (ML) |
G05LXF | Generates a matrix of random numbers from a multivariate Student's t-distribution, seeds and generator passed explicitly |
G05LYF | Generates a matrix of random numbers from a multivariate Normal distribution, seeds and generator passed explicitly |
G05RAF | Generates a matrix of random numbers from a Gaussian Copula, seeds and generator passed explicitly |
G05RBF | Generates a matrix of random numbers from a Student's t-Copula, seeds and generator passed explicitly |
G05YCF | Initializes the Faure generator (G05YDF/G05YJF/G05YKF) |
G05YDF | Generates a sequence of quasi-random numbers using Faure's method |
G05YEF | Initializes the Sobol generator (G05YFF/G05YJF/G05YKF) |
G05YFF | Generates a sequence of quasi-random numbers using Sobol's method |
G05YGF | Initializes the Neiderreiter generator (G05YHF/G05YJF/G05YKF) |
G05YHF | Generates a sequence of quasi-random numbers using Neiderreiter's method |
G05YJF | Generates a Normal quasi-random number sequence using Faure's, Sobol's or Neiderreiter's method |
G05YKF | Generates a log-Normal quasi-random number sequence using Faure's, Sobol's or Neiderreiter's method |
S14AGF | Logarithm of the Gamma function lnΓ(z) |
S18GKF | Bessel function of the 1st kind J_{α±n}(z) |
Routine Scheduled for Withdrawal |
Replacement Routine(s) |
E04UNF | E04USF/E04USA |
F11GAF | F11GDF |
F11GBF | F11GEF |
F11GCF | F11GFF |
G05CAF | G05KAF |
G05CBF | G05KBF |
G05CCF | G05KCF |
G05CFF | F06DFF |
G05CGF | F06DFF |
G05DAF | G05LGF |
G05DBF | G05LJF |
G05DCF | G05LNF |
G05DDF | G05LAF |
G05DEF | G05LKF |
G05DFF | G05LLF |
G05DHF | G05LCF |
G05DJF | G05LBF |
G05DKF | G05LDF |
G05DPF | G05LMF |
G05DRF | G05MEF |
G05DYF | G05MAF |
G05DZF | G05KEF |
G05EAF | G05LZF |
G05EBF | G05MAF |
G05ECF | G05MKF |
G05EDF | G05MJF |
G05EEF | G05MCF |
G05EFF | G05MLF |
G05EGF | G05PAF |
G05EHF | G05NAF |
G05EJF | G05NBF |
G05EWF | G05PAF |
G05EXF | G05MZF |
G05EYF | G05MZF |
G05EZF | G05LZF |
G05FAF | G05LGF |
G05FBF | G05LJF |
G05FDF | G05LAF |
G05FEF | G05LEF |
G05FFF | G05LFF |
G05FSF | G05LPF |
G05GAF | G05QAF |
G05GBF | G05QBF |
G05HDF | G05PCF |
G05ZAF | No replacement document required |