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#

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

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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

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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

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

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

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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