CenterSpace.NMath.Core Namespace
| Vector Examples | Description | Source |
|---|---|---|
| VectorExample | Example showing some of the basic functionality of the vector classes. | C# VB F# |
| VectorArithmeticExample | Example showing the element-wise operators overloaded for vector/vector and vector/scalar operations. | C# VB |
| VectorRangeExample | Example showing how to use the indexing class Range with the vector classes. | C# VB |
| VectorSliceExample | Example showing how to use the indexing class Slice with the vector classes. | C# VB |
| Matrix Examples | Description | Source |
|---|---|---|
| MatrixExample | Example showing some of the basic functionality of the matrix classes. | C# VB |
| MatrixArithmeticExample | Example showing the element-wise operators overloaded for matrix/matrix and matrix/scalar operations. | C# VB |
| MatrixRangeExample | Example showing how to use the indexing class Range with the matrix classes. | C# VB |
| MatrixSliceExample | Example showing how to use the indexing class Slice with the matrix classes. | C# VB |
| Functions of Vectors and Matrices | Description | Source |
|---|---|---|
| NMathFunctionsExample | Example showing some of the functionality of the NMathFunctions class. | C# VB |
| ApplyTransformExample | Example showing how to use the matrix and vector Apply() and Tranform() methods. |
C# VB |
| Factorization Examples | Description | Source |
|---|---|---|
| LUFactorizationExample | Example showing how to use the LU factorization classes to solve linear systems, and to compute matrix inverses, condition numbers, and determinants. | C# VB |
| Least Squares Examples | Description | Source |
|---|---|---|
| LeastSquaresExample | Example showing how to use the least squares classes to solve linear least squares problems. | C# VB |
| Random Number Examples | Description | Source |
|---|---|---|
| RandomNumberExample | Example showing how to generate random number from a normal distribution, using the class RandGenNormal, and place them in a Histogram. | C# VB |
| AdvancedRNGExample | Example showing how to create a random number generator for a particular probability distribution using a specified uniform deviate method. | C# VB |
| MonteCarloRNGExample | Example showing how to calculate an approximation for Pi using a Monte Carlo method and the uniform random number generator class RandGenUniform. | C# VB |
| VectorizedRNGExample | Example showing how to generate random numbers from a stream. | C# VB |
| QuasiRandomExample | Example showing how to generate a sequence of quasirandom points. | C# VB |
| IndependentStreamsExample | Example showing how to create streams of independent random numbers. | C# VB |
| FFT, Convolution, and Correlation Examples | Description | Source |
|---|---|---|
| FFTExample | Examples showing how to use the basic FFT classes. | C# VB |
| FFT1DExample | Example showing how to use the 1D FFT classes. | C# VB |
| FFT2DExample | Example showing how to use the 2D FFT classes. | C# VB |
| ConvolutionExample | Example showing how to use the convolution classes. | C# VB |
| CorrelationExample | Example showing how to use the correlation classes. | C# VB F# |
| Discrete Wavelet Transform (DWT) | Description | Source |
|---|---|---|
| DWTExample | Examples showing how to use the DWT classes. | C# VB |
| Signal Processing Examples | Description | Source |
|---|---|---|
| MovingWindowFilterExample | Example showing how to filter data using a moving average filter. | C# VB |
| SavitzkyGolayFilteringExample | Example showing how to use the Savitzky-Golay filtering class. | C# VB |
| Calculus Examples | Description | Source |
|---|---|---|
| OneVariableFunctionExample | Example showing how to create and manipulate functions of one variable. | C# VB |
| PolynomialExample | Example showing how to create and manipulate Polynomial objects. | C# VB |
| DifferentiationExample | Example showing how to create differentiator objects for greater control over how numerical differentiation is performed. | C# VB |
| IntegrationExample | Example showing how to create integrator objects for greater control over how numerical integration is performed. | C# VB |
| Misc. Examples | Description | Source |
|---|---|---|
| CurrencyExample | Example showing how to read and write vectors of currencies. | C# VB |
| MissingValuesExample | Example showing how to perform statistical operations on matrices containing missing data. | C# VB |
| DatabaseExample | Example showing how to use ADO.NET data structures with matrices. | C# VB |
| BinarySerializationExample | Example showing how to serialize and deserialize an NMath Core object in binary format. | C# VB |
| SoapSerializationExample | Example showing how to serialize and deserialize an NMath Core object in SOAP format. | C# VB |
CenterSpace.NMath.Matrix Namespace
| Structured Sparse Matrix Examples | Description | Source |
|---|---|---|
| TriangularMatrixExample | Example demonstrating the features of the triangular matrix classes. | C# VB |
| SymmetricMatrixExample | Example demonstrating the features of the symmetric matrix classes. | C# VB |
| HermitianMatrixExample | Example demonstrating the features of the Hermitian matrix classes. | C# VB |
| BandMatrixExample | Example demonstrating the features of the banded matrix classes. | C# VB |
| HermitianBandMatrixExample | Example demonstrating the features of the banded Hermitian matrix classes. | C# VB |
| SymmetricBandMatrixExample | Example demonstrating the features of the banded symmetric matrix classes. | C# VB |
| TridiagonalMatrixExample | Example demonstrating the features of the tridiagonal matrix classes. | C# VB |
| Structured Sparse Matrix Factorization Examples | Description | Source |
|---|---|---|
| SymFactExample | Example demonstrating the features of the factorization classes for symmetric matrices. | C# VB |
| BandFactExample | Example demonstrating the features of the factorization classes for banded matrices. | C# VB |
| TriDiagFactExample | Example demonstrating the features of the factorization classes for tridiagonal matrices. | C# VB |
| HermPDTriDiagFactExample | Example demonstrating the features of the factorization classes for Hermitian positive definite tridiagonal matrices. | C# VB |
| General Sparse Vector and Matrix Examples | Description | Source |
|---|---|---|
| SparseVectorExample | Example demonstrating the features of the general sparse vector classes. | C# VB |
| SparseMatrixExample | Example demonstrating the features of the general sparse matrix classes. | C# VB |
| SparseFactorizationExample | Example showing how to solve a symmetric sparse linear system. | C# VB |
| Decomposition Examples | Description | Source |
|---|---|---|
| QRDecompExample | Example demonstrating the features of the QR decomposition classes. | C# VB |
| SVDecompExample | Example demonstrating the features of the singular value decomposition classes. | C# VB |
| EigDecompExample | Example demonstrating the features of the eigenvalue decomposition classes. | C# VB F# |
| Least Squares Examples | Description | Source |
|---|---|---|
| LeastSquaresExample | Example demonstrating the features of the classes for solving orindary least squares problems. | C# VB |
| WeightedLeastSquaresExample | Example demonstrating the features of the classes for solving weighted least squares problems. | C# VB |
| IterativelyReweightedLeastSqExample | Example demonstrating the features of the classes for solving iteratively reweighted least squares problems. | C# VB |
CenterSpace.NMath.Analysis Namespace
| Linear Programming Examples | Description | Source |
|---|---|---|
| LinearProgrammingExample | Example showing how to solve a linear programming (LP) problem. | C# VB F# |
| PrimalDualSimplexExample | Example showing how to solve the Klee Minty cube linear programming problem using both primal and dual simplex methods. | C# VB |
| MixedIntLinearProgrammingExample | Example showing how to solve a linear programming (LP) problem where one of the variables is constrained to have an integer value. | C# VB |
| BinaryLinearProgrammingExample | Example showing how to solve a linear programming (LP) problem where all the variables are binary. | C# VB |
| Minimization Examples | Description | Source |
|---|---|---|
| OneVariableMinimizationExample | Example showing how to find a minimum of a univariate function. | C# VB |
| MultiVariableMinimizationExample | Example showing how to find a minimum of a multivariate function. | C# VB |
| TrustRegionMinimizationExample | Example showing how to minimize a function using the Trust Region method. | C# VB |
| Simulated Annealing Examples | Description | Source |
|---|---|---|
| SimulatedAnnealingExample | Example showing how to find the minimum of a function using simulated annealing. | C# VB |
| Nonlinear Programming Examples | Description | Source |
|---|---|---|
| NonlinearProgrammingExample | Example showing how to solve a NonLinear Programming (NLP) problem. | C# VB |
| SimpleNonlinearProgrammingExample | Example showing how to solve a NonLinear Programming (NLP) problem with linear constraints and variable bounds. | C# VB |
| QuadraticProgrammingExample | Example showing how to solve a Quadratic Programming (QP) problem. | C# VB |
| InteriorPointQPExample | Example showing how to use the interior point quadratic programming solver to solve a quadratic programming problem. | C# VB |
| StochasticHillClimbingExample | Example showing how to use the stochastic hill climbing solver to solve a nonlinear programming problem. | C# VB |
| ConstrainedLeastSquaresExample | Example showing how to solve the constrained least squares problem. | C# VB |
| BinaryNonlinearProgrammingExample | Example showing how to solve a nonlinear programming problem that has some binary and integral constraints on its solution variables. | C# VB |
| Curve Fitting Examples | Description | Source |
|---|---|---|
| PolynomialLeastSquaresExample | Example showing how to fit a polynomial through a set of points. | C# VB |
| OneVariableCurveFittingExample | Example showing how to fit a generalized one variable function to a set of points. | C# VB |
| MultiVariableCurveFittingExample | Example showing how to fit a generalized multivariable function to a set of points. | C# VB F# |
| Differential Equation Examples | Description | Source |
|---|---|---|
| RungeKuttaSolverExample | Example showing how to solve first order initial value differential equations. | C# VB |
| Misc Examples | Description | Source |
|---|---|---|
| RootFindingExample | Example showing how to find a root of a univariate function. | C# VB |
| TwoVariableIntegrationExample | Example showing how to integrate over two variables. | C# VB |
GPU Examples
| NMath Premium Examples | Description | Source |
|---|---|---|
| BasicGPUExample | Example showing how to automatically route computations to the GPU. | C# VB |
| FlowControlExample | Example showing how to force routing of computations to CPU or GPU. | C# VB |
| TaskControlExample | Example showing how route individual threads to a given compute device. | C# VB |