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"The de facto-standard library for linear algebra on the .NET platform is the Extreme Optimization Library."
- Jon Harrop, author, F# for Scientists
"I have yet to see another package that offers the depth of statistical analysis that Extreme Optimization does,
and I must say that I'm impressed with the level of service I've experienced."
- Henry Oh, RBC Capital Markets
"I have made it my mission to institutionalize the value of good
API design. I strongly believe that this is key to making developers
more productive and happy on our platform. It is clear that you value good
API design in your work, and take to heart developer productivity and
synergy with the .NET framework."
- Brad Abrams,
Lead Program Manager,
Extreme Optimization Numerical Libraries for .NET
Build financial, engineering and scientific applications faster
The Extreme Optimization Numerical Libraries for .NET are a collection
of general-purpose mathematical and statistical classes built for the Microsoft
The Extreme Optimization Numerical Libraries for .NET provide the first
complete platform for technical and statistical computing built on and
for the Microsoft .NET platform version 4.0 and above. It combines
a math library, a vector and matrix library, and a statistics library
in one convenient package.
New version! We add new algorithms and features all the time.
See what's in the latest updates
and download the trial today.
At a glance:
- Seamless parallelism using .NET 4.0's Task Parallel Library.
- Basic math: Complex numbers,
Decimal math, 'special functions' like Gamma and
Bessel functions, numerical differentiation.
- Automatic differentiation: eliminate tedious and error-prone manual derivative calculations.
- Solving equations: Solve equations in one variable, or solve
systems of linear or nonlinear equations.
- Curve fitting: Linear and nonlinear curve fitting, cubic splines,
polynomials, orthogonal polynomials.
- Optimization: State of the art algorithms for finding the minimum
or maximum of a function in one or more variables, linear programming (LP), mixed integer programming (MIP), quadratic programming (QP) and nonlinear programming (NLP).
- Numerical integration: Compute integrals over finite or
infinite intervals. Integrate over 2D and higher dimensional regions. Integrate systems of ordinary differential equations
- Fast Fourier Transforms: 1D and 2D FFT's using 100% managed or
fast native code (32 and 64 bit)
- BigInteger, BigRational, and BigFloat: Perform operations with
- Generic arithmetic framework: Write the code once and use it with
any numerical type.
Vector and Matrix Library
- Real and complex vectors and matrices.
- Single, double and quadruple precision for elements.
- Structured matrix types: including triangular, symmetrical and
- Sparse matrices.
- Iterative sparse solvers and preconditioners.
- Matrix factorizations: LU decomposition, QR decomposition, singular
value decomposition, Cholesky decomposition, eigenvalue decomposition.
- Portability and performance: Calculations can be done
in 100% managed code, or in hand-optimized processor-specific native code (32 and
- Generic library: Use built-in .NET types or any of the new arbitrary
precision types to do matrix calculations.
- Row and column labels: Add labels to your data and take advantage of
automatic alignment on labels.
- Data frame: Advanced data analysis, manipulation and transformation.
- Data manipulation: Sort and filter data, process
missing values, remove outliers, etc. Supports .NET data binding.
- Statistical Models: Simple, multiple, nonlinear,
logistic, Poisson regression. Generalized Linear Models. One and two-way ANOVA.
- Time Series Models: ARIMA and GARCH.
- Multivariate Statistics: K-means cluster analysis, hierarchical
cluster analysis, principal component analysis (PCA), factor analysis.
- Statistical Distributions:
39 continuous and discrete
statistical distributions, including uniform, Poisson, normal, lognormal, Weibull
and Gumbel (extreme value) distributions and various
- Hypothesis Tests:
15 hypothesis tests, including the
z-test, t-test, F-test, runs test, and more advanced tests, such as the Anderson-Darling
test for normality, one and two-sample Kolmogorov-Smirnov test, and Levene's test
for homogeneity of variances, Ljung-Box test for auto-correlation, Kruskal-Wallis test.
- Random numbers: Random variates from any distribution, 4 high-quality
random number generators, low discrepancy sequences, shufflers.
- Multi-core ready. Take advantage of all the CPU power in your machine.
Full support for Task Parallel Library features including cancellation.
Great performance. We implemented the best algorithms available
today to provide you with a robust, fast toolset.
- Intuitive object model. The classes in the Extreme Optimization Numerical
Libraries for .NET and the relationships between them match our every-day concepts.
Ground-breaking usability for numerical software development. The math
itself is hard enough.
- Broad base of algorithms
covering a wide range of numerical techniques, including: linear algebra (BLAS and
LAPACK routines), numerical integration and differentiation, solving equations,
complex numbers, and more.
Whether you develop applications in C#, Visual Basic .NET, F#, C++/CLI, IronPython or any of
the other .NET Framework languages, the Extreme Optimization Numerical Libraries
for .NET provide the reliable foundation and the building
blocks developers need.
New in Version 5.1 (November 2014)
Data Frame Library
- Data frame class supporting advanced data manipulation.
- Simple and multi-level indexes.
- Pivot tables, stacking, unstacking of data frames.
- Joins and merges, join to nearest.
- Advanced grouping and aggregation.
- Integrated with statistical models.
- Row and column labels for vectors and matrices.
- Automatic alignment on labels.
Support for GPU computing
- Offload computations to the GPU.
- Keep data on the GPU as long as possible for optimal performance.
- Only CUDA cards are supported at this time.
New math features
- Support for quadruple precision numbers with up to 34 digits,
including our full vector and matrix library.
Real and complex numbers are supported.
- Smoothing cubic splines, monotonicity preserving splines.
- Nonlinear curve fitting for arbitrary domains, including surface fitting.
- Improved Quadratic Programming solver.
- Optimized elementary functions on vectors and matrices.
- Reshaping operations on vectors and matrices.
New statistics features
- GARCH models (Generalized AutoRegressive Conditional Heteroskedasticity).
- Regularized linear regression models: Ridge regression, LASSO and elastic net.
- Cumulative multivariate normal distribution.
- Hyperbolic and Inverse Gaussian distribution.
- Truncated distributions.
- Post hoc tests for one-way ANOVA: Tukey, Tukey-Kramer, Scheffé, Fisher-Hayter
- Ljung-Box test for autoregression.
- Support for F# 3.1 features.
You can see a list of what was new in earlier versions:
A fully functional 60 day trial version is now available.
Download it here, or order today.
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