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SparseLib++
A C++ class library for efficient sparse matrix computations across various computational platforms.
SourcePro Analysis
Object-oriented numerical computation class-library from Rogue Wave.
OptSolve++
Provides a convenient and extensible interface for rapid nonlinear optimization or root-finding with user-specified functions.
The Object-Oriented Numerics Page
Scientific Computing in Object-Oriented Languages
Newmat09: C++ Matrix Library
Emphasis is on the kind of operations needed in statistical calculations such as least squares, linear equation solve and eigenvalues.
MatrixLib
A compact cross platform C++ matrix operations class library for Windows, Mac OS X and Linux. It provides over a hundred different matrix operations and interfaces to BLAS and LAPACK. [Commercial]
The Matrix Template Library
High-performance generic component library that provides comprehensive linear algebra functionality for a wide variety of matrix formats.
Math Objects
Template based math library for C++. Also has algorithms that compute the Smith and the Smith-McMillan form for matrices of polynomials or rational functions respectively.
Levenberg-Marquardt non-linear least squares algorithms in C/C++
Package containing double and single precision flavors of the Levenberg-Marquardt algorithm. Included are versions with analytic and finite difference approximated jacobians. [Open source, GPL]
Large Number Class
A class which allows for developers to implement numbers much larger than previously allowed by built in data types in C++. (currently supports up to 1000 decimal places)

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