// The following text is included in the main documentation page by doxygen
/*! \mainpage vnl : Numerics Library
* The numerics library, vnl is intended to provide an environment for numerical
* programming which combines the ease of use of packages like Mathematica and
* Matlab with the speed of C and the elegance of C++.
* Its dependent, vnl_algo, provides a C++ interface to the high-quality Fortran
* routines made available in the public domain by numerical analysis researchers.
*
* Matrix and vector classes include
* - vnl_vector<T>  : Standard vector class
* - vnl_matrix<T>  : Standard matrix class
* - vnl_vector_fixed<T,N> : Fixed size vector class (of length N)
* - vnl_matrix_fixed<T,N,M> : Fixed size NxM matrix class
* - vnl_vector_ref<T> : Wrap user-supplied memory chunk as a vector
* - vnl_matrix_ref<T> : Wrap user-supplied memory chunk as a matrix
* - vnl_c_vector<T> : underlying implementor class: math on blocks of memory
* - vnl_diag_matrix<T> : Diagonal matrix class
* - vnl_diag_matrix_fixed<T,N> : Fixed size NxN diagonal matrix class
* - vnl_sym_matrix<T> : Symmetric matrix class
* - vnl_sparse_matrix<T> : Efficient storage for matrices with many zeroes
* - vnl_crs_index : like vnl_sparse_matrix<T>, but without the data
* - vnl_linear_system : interface for large, sparse systems of linear equations
*
* Functions to generate special matrixes or vectors:
* - vnl_identity_3x3
* - vnl_rotation_matrix
* - vnl_cross_product_matrix
* - vnl_int_matrix
* - vnl_double_2, vnl_float_3, vnl_int_4, ...: fixed-size, fixed-type vectors
* - vnl_double_2x3, vnl_float_3x3, vnl_int_4x3, ...: fixed-size, fixed-type matrices
*
* Polynomial representations:
* - vnl_real_polynomial
* - vnl_real_npolynomial
*
* Useful utility functions and constants
* - Common functions and constants (in vnl_math), like pi, sqrt2, ln10, euler, ...
* - vnl_random : random number generation, with normal and box distributions.
* - vnl_gamma, vnl_gamma_p, vnl_gamma_q, vnl_beta : gamma and beta functions
* - vnl_erf
* - vnl_bessel
* - vnl_matrix_exp : compute the exponential of a square matrix
* - vnl_power : compute the nth power of a small vnl_matrix_fixed
* - vnl_operators.h contains vector and matrix comparison functions
* - vnl_copy : easy conversion between vectors/matrices with different datatypes
*
* Computational functionality:
* - vnl_definite_integral : computes the surface area under a given function
*   (see also vnl_simpson_integral in vnl_algo)
*
* Simple matrix operations
* - vnl_transpose : transpose of a matrix for direct use in a multiplication
* - vnl_rank, vnl_rank_row_reduce and vnl_rank_column_reduce
* - vnl_trace
* - vnl_cross
* - vnl_det and vnl_determinant
* - vnl_inverse, vnl_inverse_transpose and vnl_matrix_inverse
* - vnl_orthogonal_complement
* - vnl_file_matrix and vnl_file_vector : load from a file
* - class vnl_fastops, with functions like AtA, ABt, Ab, inc_X_by_AtA, ...
* - vnl_linear_operators_3.h : contains 3D linear algebra operations
*
* Alternative number representations
* - vnl_complex, vnl_complexify, vnl_real, vnl_imag : represent and manipulate complex numbers
* - vnl_quaternion<T>
* - vnl_rational : numbers represented as the quotient of two integers
* - vnl_bignum : arbitrary size integers, binary representation
* - vnl_decnum : arbitrary size integers, decimal representation and arithmetic
* - vnl_finite<N> : modulo-N arithmetic, e.g. for finite fields
*
* Mapping functionality
* - vnl_cost_function : R^n --> R. Used by minimizers
* - vnl_least_squares_function, vnl_least_squares_cost_function : minimizer interface
* - vnl_identity
* - vnl_hungarian_algorithm : Find best column to row assignment given a cost matrix
*
* Miscellaneous
* - vnl_sample : sampling from uniform, binomial and normal distributions
* - vnl_matlab_print : pretty-print matrices and vectors in matlab-style format
* - vnl_matlab_read : import data from files in the .mat format of Matlab
* - vnl_matlab_write, vnl_matlab_filewrite : export data in the .mat format of Matlab
*
* \htmlonly
* <hr/>
* \endhtmlonly
* \section vnl_algo vnl_algo : Computational Numerics Library
*
* Matrix decompositions include:
* - vnl_svd, vnl_svd_fixed, and vnl_svd_economy : Singular value decomposition
* - vnl_qr : QR decomposition
* - vnl_cholesky : Cholesky decomposition (for symmetric matrices)
* - vnl_ldl_cholesky : Variant on Cholesky, allowing fast updating
* - vnl_symmetric_eigensystem : Eigen-decomposition
* - vnl_real_eigensystem : Eigen-decomposition
* - vnl_complex_eigensystem : Eigen-decomposition
* - vnl_generalized_eigensystem : Eigen-decomposition
* - vnl_sparse_symmetric_eigensystem
* - vnl_generalized_schur
*
* Optimisation routines include:
* - vnl_amoeba : Downhill simplex algorithm
* - vnl_lsqr : least squares algorithm for (large, sparse) linear systems
* - vnl_sparse_lu : LU decomposition to solve a (sparse) linear system
* - vnl_brent_minimizer : minimizes a 1D function without using derivatives
* - vnl_powell : minimizes an N-D function without using derivatives
* - vnl_conjugate_gradient
* - vnl_lbfgs, vnl_lbfgsb : Broyden Fletcher Goldfarb Shannon minimization
* - vnl_levenberg_marquardt and vnl_sparse_lm : Levenberg-Marquardt nonlinear least squares
* - vnl_bracket_minimum : bracket a minimum of a 1D function
* - vnl_solve_qp : several quadratic programming problem solving functions
*
* Support for manipulating polynomials:
* - vnl_rnpoly_solve
* - vnl_rpoly_roots
* - vnl_cpoly_roots
*
* Useful utility functions:
* - vnl_fft_1d : 1D Fast Fourier Transform
* - vnl_fft_2d : 2D Fast Fourier Transform
* - vnl_determinant (but see also vnl_determinant in library vnl)
* - vnl_matrix_inverse (but see also vnl_matrix_inverse in library vnl)
* - vnl_adjugate : return the adjugate (or adjoint, or cofactors) matrix
* - vnl_convolve
* - vnl_chi_squared : CDF of chi-squared distribution
* - vnl_fit_parabola : given three points, return 2nd degree fitting polynomial
*
* \section Lead Developers
* Gehua Yang and Peter Vanroose are responsible for co-ordinating significant changes to vnl.
* http://sourceforge.net/sendmessage.php?touser=717688
* http://sourceforge.net/sendmessage.php?touser=290414
*/
