introduction_doxy.txt

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// 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++.
* It 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
*
* Functions to generate special matrixes:
* - vnl_identity
* - vnl_rotation_matrix
* - vnl_cross_product_matrix
*
* Matrix decompositions include
* - vnl_svd 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
* - vnl_brent_minimizer  (For 1D optimization)
* - vnl_conjugate_gradient
* - vnl_lbfgs
* - vnl_levenberg_marquardt
* - vnl_powell
* - vnl_bracket_minimum (To bracket a minimum of a 1D function)
*
* Support for manipulating polynomials
* - vnl_real_polynomial
* - vnl_real_npolynomial
* - vnl_rnpoly_solve
* - vnl_rpoly_roots
* - vnl_cpoly_roots
*
* Useful utility functions
* - Common functions and constants (in vnl_math)
* - vnl_fft_1d : 1D Fast Fourier Transform
* - vnl_fft_2d : 2D Fast Fourier Transform
* - vnl_convolve
* - vnl_random : random number generation, with normal and box distributions.
* - vnl_gamma, vnl_gamma_p, vnl_gamma_q : gamma functions
* - vnl_erf
* - vnl_chi_squared : CDF of chi-squared distribution
*
* Simple matrix operations
* - vnl_transpose : transpose of a matrix for direct use in a multiplication
* - vnl_adjugate : return the adjugate matrix
* - vnl_rank, vnl_rank_row_reduce and vnl_rank_column_reduce
* - vnl_trace
* - vnl_unary_function
* - vnl_cross
* - vnl_det and vnl_determinant
* - vnl_inverse, vnl_inverse_transpose and vnl_matrix_inverse
* - vnl_orthogonal_complement
*
* Alternative number representations
* - vnl_complex
* - vnl_quaternion
* - vnl_rational
* - vnl_bignum
* - vnl_finite
*
* \section Lead Developer
* Amitha Perera is responsible for co-ordinating significant changes to vnl.
* http://sourceforge.net/sendmessage.php?touser=237910
*/