This C++ library 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); UpperTriangularMatrix; LowerTriangularMatrix; DiagonalMatrix; SymmetricMatrix; BandMatrix; UpperBandMatrix; LowerBandMatrix; SymmetricBandMatrix; IdentityMatrix; RowVector; ColumnVector.
Only one element type (float or double) is supported.
The library includes the operations *, +, -, *=, +=, -=, Kronecker product, Schur product, concatenation, inverse, transpose, conversion between types, submatrix, determinant, Cholesky decomposition, QR triangularisation, singular value decomposition, eigenvalues of a symmetric matrix, sorting, fast Fourier and trig. transforms, printing and an interface with Numerical Recipes in C.
It is intended for matrices in the range 10 x 10 to the maximum size your machine will accommodate in a single array. The package works for very small matrices but becomes rather inefficient.
A lazy evaluation approach to evaluating matrix expressions is used to improve efficiency and reduce use of temporary storage.
I have tested the library with Borland (3.1, 5.02, Builder 5), Microsoft (VC++ 5, 6), Watcom (10A) C++ on a PC; Gnu G++ (2.95), Sun C++ (6) on a Sun and Gnu G++ (2.96) under Linux. |
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