NewMat C++ Matrix Class

Newmat is intended for scientists and engineers who need to manipulate a variety of types of matrices using standard matrix operations. Emphasis is on the kind of operations needed in statistical calculations such as least squares, linear equation solve and eigenvalues. It supports matrix types Matrix (rectangular matrix), nricMatrix (variant of rectangular matrix as an interface to "Numerical Recipes"), UpperTriangularMatrix, LowerTriangularMatrix, DiagonalMatrix, SymmetricMatrix, BandMatrixi, UpperBandMatrix, LowerBandMatrix, SymmetricBandMatrix, RowVector, ColumnVector. The package includes the operations *, +, -, inverse, transpose, conversion between types, submatrix, determinant, Cholesky decomposition, Householder triangularisation, singular value decomposition, eigenvalues of a symmetric matrix, sorting, fast fourier transform, printing and an interface with "Numerical Recipes in C". It is intended for matrices in the range 15 x 15 to the maximum size your machine will accomodate in a single array. For example 90 x 90 (125 x 125 for triangular matrices) in machines that have 8192 doubles as the maximum size of an array. The number of elements in an array cannot exceed the maximum size of an "int". The package will work for very small matrices but becomes rather inefficient. A two-stage approach to evaluating matrix expressions is used to improve efficiency and reduce use of temporary storage. The file newmatnl.tar.gz contains an extension to the nonlinear optimisation class for maximum likelihood estimation, an example is included where a GARCH(1,1) regression model is estimated. newran.tar.gz contains a class for generating pseudo-random numbers from different distributions. It is required by the GARCH example. Version 09 was released in October 1997.