K1b1. Nonlinear least squares approximation

Functions
Sub	Covar (N As Long, R() As Double, Ipvt() As Long, Tol As Double, Info As Long)
	Covariance matrix of nonlinear least squares approximation
Sub	Lmder (F As LongPtr, M As Long, N As Long, X() As Double, Fvec() As Double, Fjac() As Double, FTol As Double, XTol As Double, GTol As Double, Diag() As Double, Mode As Long, Ipvt() As Long, Info As Long, Optional Info2 As Long, Optional Maxfev As Long=0, Optional Factor As Double=0, Optional Nprint As Long=0, Optional Nfev As Long, Optional Njev As Long)
	Nonlinear least squares approximation by Levenberg-Marquardt method
Sub	Lmder1 (F As LongPtr, M As Long, N As Long, X() As Double, Fvec() As Double, Fjac() As Double, Tol As Double, Ipvt() As Long, Info As Long, Optional Info2 As Long)
	Nonlinear least squares approximation by Levenberg-Marquardt method (simple driver)
Sub	Lmder1_r (M As Long, N As Long, X() As Double, Fvec() As Double, Fjac() As Double, Tol As Double, Ipvt() As Long, Info As Long, XX() As Double, YY() As Double, IRev As Long, Optional Info2 As Long)
	Nonlinear least squares approximation by Levenberg-Marquardt method (simple driver) (reverse communication version)
Sub	Lmder_r (M As Long, N As Long, X() As Double, Fvec() As Double, Fjac() As Double, FTol As Double, XTol As Double, GTol As Double, Diag() As Double, Mode As Long, Ipvt() As Long, Info As Long, XX() As Double, YY() As Double, IRev As Long, Optional Info2 As Long, Optional Maxfev As Long=0, Optional Factor As Double=0, Optional Nprint As Long=0, Optional Nfev As Long, Optional Njev As Long)
	Nonlinear least squares approximation by Levenberg-Marquardt method (reverse communication version)
Sub	Lmdif (F As LongPtr, M As Long, N As Long, X() As Double, Fvec() As Double, Fjac() As Double, FTol As Double, XTol As Double, GTol As Double, Diag() As Double, Mode As Long, Ipvt() As Long, Info As Long, Optional Info2 As Long, Optional Maxfev As Long=0, Optional Epsfcn As Double=0, Optional Factor As Double=0, Optional Nprint As Long=0, Optional Nfev As Long)
	Nonlinear least squares approximation by Levenberg-Marquardt method (Jacobian not required)
Sub	Lmdif1 (F As LongPtr, M As Long, N As Long, X() As Double, Fvec() As Double, Tol As Double, Info As Long, Optional Info2 As Long)
	Nonlinear least squares approximation by Levenberg-Marquardt method (Jacobian not required) (simple driver)
Sub	Lmdif1_r (M As Long, N As Long, X() As Double, Fvec() As Double, Tol As Double, Info As Long, XX() As Double, YY() As Double, IRev As Long, Optional Info2 As Long)
	Nonlinear least squares approximation by Levenberg-Marquardt method (Jacobian not required) (simple driver) (reverse communication version)
Sub	Lmdif_r (M As Long, N As Long, X() As Double, Fvec() As Double, Fjac() As Double, FTol As Double, XTol As Double, GTol As Double, Diag() As Double, Mode As Long, Ipvt() As Long, Info As Long, XX() As Double, YY() As Double, IRev As Long, Optional Info2 As Long, Optional Maxfev As Long=0, Optional Epsfcn As Double=0, Optional Factor As Double=100, Optional Nprint As Long=0, Optional Nfev As Long)
	Nonlinear least squares approximation by Levenberg-Marquardt method (Jacobian not required) (reverse communication version)
Sub	Lmstr (F As LongPtr, M As Long, N As Long, X() As Double, Fvec() As Double, Fjac() As Double, FTol As Double, XTol As Double, GTol As Double, Diag() As Double, Mode As Long, Ipvt() As Long, Info As Long, Optional Info2 As Long, Optional Maxfev As Long=0, Optional Factor As Double=0, Optional Nprint As Long=0, Optional Nfev As Long, Optional Njev As Long)
	Nonlinear least squares approximation by Levenberg-Marquardt method (limited storage)
Sub	Lmstr1 (F As LongPtr, M As Long, N As Long, X() As Double, Fvec() As Double, Fjac() As Double, Tol As Double, Ipvt() As Long, Info As Long, Optional Info2 As Long)
	Nonlinear least squares approximation by Levenberg-Marquardt method (limited storage) (simple driver)
Sub	Lmstr1_r (M As Long, N As Long, X() As Double, Fvec() As Double, Fjac() As Double, Tol As Double, Ipvt() As Long, Info As Long, XX() As Double, YY() As Double, YYpr() As Double, IRev As Long, Optional Info2 As Long)
	Nonlinear least squares approximation by Levenberg-Marquardt method (limited storage) (simple driver) (reverse communication version)
Sub	Lmstr_r (M As Long, N As Long, X() As Double, Fvec() As Double, Fjac() As Double, FTol As Double, XTol As Double, GTol As Double, Diag() As Double, Mode As Long, Ipvt() As Long, Info As Long, XX() As Double, YY() As Double, YYpr() As Double, IRev As Long, Optional Info2 As Long, Optional Maxfev As Long=0, Optional Factor As Double=0, Optional Nprint As Long=0, Optional Nfev As Long, Optional Njev As Long)
	Nonlinear least squares approximation by Levenberg-Marquardt method (limited storage) (reverse communication version)
Sub	N2f (M As Long, N As Long, X() As Double, F As LongPtr, Cov() As Double, Rd() As Double, Info As Long, Optional Itsum As LongPtr=NullPtr, Optional Info2 As Long, Optional NFcall As Long, Optional NFjcall As Long, Optional Niter As Long, Optional S As Double, Optional NFcov As Long, Optional NFjcov As Long, Optional Rtol As Double=-1, Optional Atol As Double=-1, Optional Rdreq As Long=-1, Optional Covreq As Long=0, Optional MaxFcall As Long=-1, Optional MaxIter As Long=-1, Optional Dtype As Long=-1, Optional Dfac As Double=-1, Optional Dtol As Double=-1, Optional D0 As Double=-1, Optional Tuner1 As Double=-1, Optional Xctol As Double=-1, Optional Xftol As Double=-1, Optional Lmax0 As Double=-1, Optional Lmaxs As Double=-1, Optional Sctol As Double=-1, Optional Dltfdc As Double=-1, Optional Dltfdj As Double=-1)
	Nonlinear least squares approximation (adaptive algorithm) (Jacobian not required)
Sub	N2f1 (M As Long, N As Long, X() As Double, F As LongPtr, Info As Long, Optional NFcall As Long, Optional NFjcall As Long, Optional Niter As Long)
	Nonlinear least squares approximation (adaptive algorithm) (Jacobian not required) (simple driver)
Sub	N2f1_r (M As Long, N As Long, X() As Double, Info As Long, YY() As Double, IRev As Long, Optional NFcall As Long, Optional NFjcall As Long, Optional Niter As Long)
	Nonlinear least squares approximation (adaptive algorithm) (Jacobian not required) (simple driver) (reverse communication version)
Sub	N2f_r (M As Long, N As Long, X() As Double, Cov() As Double, Rd() As Double, Info As Long, YY() As Double, IRev As Long, Optional Iout As Long=0, Optional Info2 As Long, Optional NFcall As Long, Optional NFjcall As Long, Optional Niter As Long, Optional S As Double, Optional NFGcal As Long, Optional NFcov As Long, Optional NFjcov As Long, Optional Rtol As Double=-1, Optional Atol As Double=-1, Optional Rdreq As Long=-1, Optional Covreq As Long=0, Optional MaxFcall As Long=-1, Optional MaxIter As Long=-1, Optional Dtype As Long=-1, Optional Dfac As Double=-1, Optional Dtol As Double=-1, Optional D0 As Double=-1, Optional Tuner1 As Double=-1, Optional Xctol As Double=-1, Optional Xftol As Double=-1, Optional Lmax0 As Double=-1, Optional Lmaxs As Double=-1, Optional Sctol As Double=-1, Optional Dltfdc As Double=-1, Optional Dltfdj As Double=-1)
	Nonlinear least squares approximation (adaptive algorithm) (Jacobian not required) (reverse communication version)
Sub	N2g (M As Long, N As Long, X() As Double, F As LongPtr, Fj As LongPtr, Cov() As Double, Rd() As Double, Info As Long, Optional Itsum As LongPtr=NullPtr, Optional Info2 As Long, Optional NFcall As Long, Optional NFjcall As Long, Optional Niter As Long, Optional S As Double, Optional NFcov As Long, Optional NFjcov As Long, Optional Rtol As Double=-1, Optional Atol As Double=-1, Optional Rdreq As Long=-1, Optional Covreq As Long=-1, Optional MaxFcall As Long=-1, Optional MaxIter As Long=-1, Optional Dtype As Long=-1, Optional Dfac As Double=-1, Optional Dtol As Double=-1, Optional D0 As Double=-1, Optional Tuner1 As Double=-1, Optional Xctol As Double=-1, Optional Xftol As Double=-1, Optional Lmax0 As Double=-1, Optional Lmaxs As Double=-1, Optional Sctol As Double=-1, Optional Delta0 As Double=-1, Optional Dltfdc As Double=-1)
	Nonlinear least squares approximation (adaptive algorithm)
Sub	N2g1 (M As Long, N As Long, X() As Double, F As LongPtr, Fj As LongPtr, Info As Long, Optional NFcall As Long, Optional NFjcall As Long, Optional Niter As Long)
	Nonlinear least squares approximation (adaptive algorithm) (simple driver)
Sub	N2g1_r (M As Long, N As Long, X() As Double, Info As Long, YY() As Double, YYp() As Double, IRev As Long, Optional NFcall As Long, Optional NFjcall As Long, Optional Niter As Long)
	Nonlinear least squares approximation (adaptive algorithm) (reverse communication version)
Sub	N2g_r (M As Long, N As Long, X() As Double, Cov() As Double, Rd() As Double, Info As Long, YY() As Double, YYp() As Double, IRev As Long, Optional Iout As Long=0, Optional Info2 As Long, Optional NFcall As Long, Optional NFjcall As Long, Optional Niter As Long, Optional S As Double, Optional NFGcal As Long, Optional NFcov As Long, Optional NFjcov As Long, Optional Rtol As Double=-1, Optional Atol As Double=-1, Optional Rdreq As Long=-1, Optional Covreq As Long=-1, Optional MaxFcall As Long=-1, Optional MaxIter As Long=-1, Optional Dtype As Long=-1, Optional Dfac As Double=-1, Optional Dtol As Double=-1, Optional D0 As Double=-1, Optional Tuner1 As Double=-1, Optional Xctol As Double=-1, Optional Xftol As Double=-1, Optional Lmax0 As Double=-1, Optional Lmaxs As Double=-1, Optional Sctol As Double=-1, Optional Delta0 As Double=-1, Optional Dltfdc As Double=-1)
	Nonlinear least squares approximation (adaptive algorithm) (reverse communication version)
Sub	N2p (M As Long, Md As Long, N As Long, X() As Double, F As LongPtr, Fj As LongPtr, Cov() As Double, Rd() As Double, Info As Long, Optional Itsum As LongPtr=NullPtr, Optional Info2 As Long, Optional NFcall As Long, Optional NFjcall As Long, Optional Niter As Long, Optional S As Double, Optional NFcov As Long, Optional NFjcov As Long, Optional Rtol As Double=-1, Optional Atol As Double=-1, Optional Rdreq As Long=-1, Optional Covreq As Long=0, Optional MaxFcall As Long=-1, Optional MaxIter As Long=-1, Optional Dtype As Long=-1, Optional Dfac As Double=-1, Optional Dtol As Double=-1, Optional D0 As Double=-1, Optional Tuner1 As Double=-1, Optional Xctol As Double=-1, Optional Xftol As Double=-1, Optional Lmax0 As Double=-1, Optional Lmaxs As Double=-1, Optional Sctol As Double=-1, Optional Delta0 As Double=-1, Optional Dltfdc As Double=-1)
	Nonlinear least squares approximation (adaptive algorithm) (limited storage version)
Sub	N2p_r (M As Long, Md As Long, N As Long, X() As Double, Cov() As Double, Rd() As Double, Info As Long, M1 As Long, M2 As Long, YY() As Double, YYp() As Double, IRev As Long, Optional Iout As Long=0, Optional Info2 As Long, Optional NFcall As Long, Optional NFjcall As Long, Optional Niter As Long, Optional S As Double, Optional NFGcal As Long, Optional NFcov As Long, Optional NFjcov As Long, Optional Rtol As Double=-1, Optional Atol As Double=-1, Optional Rdreq As Long=-1, Optional Covreq As Long=0, Optional MaxFcall As Long=-1, Optional MaxIter As Long=-1, Optional Dtype As Long=-1, Optional Dfac As Double=-1, Optional Dtol As Double=-1, Optional D0 As Double=-1, Optional Tuner1 As Double=-1, Optional Xctol As Double=-1, Optional Xftol As Double=-1, Optional Lmax0 As Double=-1, Optional Lmaxs As Double=-1, Optional Sctol As Double=-1, Optional Delta0 As Double=-1, Optional Dltfdc As Double=-1)
	Nonlinear least squares approximation (adaptive algorithm) (limited storage version) (reverse communication version)

Detailed Description

This is the group of K1b1. Nonlinear least squares approximation.