NMath User's Guide

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Index

Numerics

1-norm 

A

absolute value , , ,

abstract indexing 

accessing underlying data ,

ActiveSetLineSearchSQP 

ActiveSetLineSearchSQP.Options 

ActiveSetQPSolver 

Adaptive Bridge 

adjusted R2 ,

ADO.NET 

annealing 

annealing history 

annealing schedules ,

custom 

linear 

annealing temperature 

AnnealingHistory ,

AnnealingHistory.Step 

AnnealingMinimizer , ,

AnnealingScheduleBase 

Any CPU build configuration 

appending to a vector 

applying functions , ,

argument of a complex number 

arithmetic operators , ,

arrays, converting to 

ASP.NET web applications 

Assemblies 

asymptotic function 

B

balancing 

banded matrices 

bandwidth ,

Bessel functions 

beta function 

binary nonlinear programming ,

binary serialization 

binomial coefficient 

block-splitting 

Boole's rule 

BoundedMultiVariableFunctionFitter 

BoundedOneVariableFunctionFitter 

Bracket , ,

bracketing minima 

Brent's Method 

BrentMinimizer 

Bridge 

Bridge tuning 

BridgeManager 

Bunch-Kaufman factorization 

C

calculus 

charting 

Cholesky

least squares 

Cholesky factorization 

clamped cubic spline 

clearing

matrices 

vectors 

cloning , ,

CLRConfigFile 

coefficient of determination ,

column sums 

complex argument 

complex conjugate 

complex numbers 

absolute value function 

accessing values 

argument function 

comparing , ,

conjugate function 

creating 

creating from polar coordinates 

creating from strings 

modifying 

norm function 

trigonometric functions 

component matrices 

compressed row format 

condition numbers ,

conjugate gradient method 

conjugate of a complex number 

ConjugateGradientMinimizer 

constrained least squares 

ConstraintType 

convolution , ,

copying matrices ,

copying vectors 

creating matrices 

cross product 

cubic spline interpolation 

CUDA ,

curve fitting ,

CustomAnnealingSchedule 

D

data block classes 

data blocks 

accessing ,

properties 

database integration 

DataTables 

data-view pattern 

DBrentMinimizer 

decomposition servers ,

decompositions 

deployment 

determinants ,

differential equations 

differentiating polynomials 

digamma function 

DIgital Smoothing POlynomial 

discrete wavelet transform 

DISPO 

Dormand-Prince method 

dot product 

DoubleBandFact 

DoubleBandMatrix 

DoubleBisquareWeightingFunction 

DoubleCholeskyLeastSq 

DoubleComplex 

DoubleComplexBandFact 

DoubleComplexBandMatrix 

DoubleComplexCholeskyLeastSq 

DoubleComplexDataBlock 

DoubleComplexEigDecomp 

DoubleComplexEigDecompServer 

DoubleComplexLeastSquares 

DoubleComplexLowerTriMatrix 

DoubleComplexLUFact 

DoubleComplexMatrix 

DoubleComplexQRDecomp 

DoubleComplexQRDecompServer 

DoubleComplexQRLeastSq 

DoubleComplexSVDecomp 

DoubleComplexSVDecompServer 

DoubleComplexSVDLeastSq 

DoubleComplexTriDiagFact 

DoubleComplexTriDiagMatrix 

DoubleComplexUpperTriMatrix 

DoubleComplexVector 

DoubleCOWeightedLeastSq 

DoubleDataBlock 

DoubleDWT 

DoubleEigDecomp 

DoubleEigDecompServer 

DoubleFairWeightingFunction 

DoubleFunctional 

DoubleFunctionalDelegate 

DoubleHermitianBandMatrix 

DoubleHermitianEigDecomp 

DoubleHermitianEigDecompServer 

DoubleHermitianFact 

DoubleHermitianMatrix 

DoubleHermitianPDBandFact 

DoubleHermitianPDFact 

DoubleHermPDTriDiagFact 

DoubleIterativelyReweightedLeastSq 

DoubleLeastSquares 

DoubleLeastSqWeightingFunction 

DoubleLowerTriMatrix 

DoubleLUFact 

DoubleMatrix 

DoubleMultiVariableFunction 

DoubleNonnegativeLeastSquares ,

DoubleParameterizedDelegate 

DoubleParameterizedFunction 

DoubleParameterizedFunctional 

DoubleQRDecomp 

DoubleQRDecompServer 

DoubleQRLeastSq 

DoubleRandomBetaDistribution 

DoubleRandomCauchyDistribution 

DoubleRandomExponentialDistribution 

DoubleRandomGammaDistribution 

DoubleRandomGaussianDistribution 

DoubleRandomGumbelDistribution 

DoubleRandomLaplaceDistribution 

DoubleRandomLogNormalDistribution 

DoubleRandomRayleighDistribution 

DoubleRandomUniformDistribution 

DoubleRandomWeibullDistribution 

DoubleSVDecomp 

DoubleSVDecompServer 

DoubleSVDLeastSq 

DoubleSymBandMatrix 

DoubleSymEigDecomp 

DoubleSymEigDecompServer 

DoubleSymFact 

DoubleSymmetricMatrix 

DoubleSymPDBandFact 

DoubleSymPDFact 

DoubleSymPDTriDiagFact 

DoubleTriDiagFact 

DoubleTriDiagMatrix 

DoubleUpperTriMatrix 

DoubleVector 

DoubleVectorParameterizedDelegate 

DoubleWavelet 

downhill simplex method 

DownhillSimplexMinimizer 

DualSimplexSolver ,

DualSimplexSolverParams 

DWT 

E

effective rank 

eigenvalue classes 

eigenvalue servers ,

eigenvalue tolerance 

eigenvalues ,

eigenvectors 

elliptic functions 

elliptic integrals 

encapsulating functions 

enumeration ,

equality operators , ,

error tolerance 

Euler gamma 

Euler-Macheroni constant 

evaluating functions ,

evaluating polynomials 

exception classes 

exponential function 

exponential integral 

exponentially weighted moving aver­age (EWMA) ,

F

factorial 

factorization , ,

factorization classes ,

factorizations , ,

creating ,

using ,

Fast Fourier Transforms 

FFT ,

FFTKernelException 

filtering ,

finding roots 

FirstOrderInitialValueProblem 

FloatBandFact 

FloatBandMatrix 

FloatCholeskyLeastSq 

FloatComplex 

FloatComplexBandFact 

FloatComplexBandMatrix 

FloatComplexCholeskyLeastSq 

FloatComplexDataBlock 

FloatComplexEigDecomp 

FloatComplexEigDecompServer 

FloatComplexLeastSquares 

FloatComplexLowerTriMatrix 

FloatComplexLUFact 

FloatComplexMatrix ,

FloatComplexQRDecomp 

FloatComplexQRDecompServer 

FloatComplexQRLeastSq 

FloatComplexSVDecomp 

FloatComplexSVDecompServer 

FloatComplexSVDLeastSq 

FloatComplexTriDiagFact 

FloatComplexTriDiagMatrix 

FloatComplexUpperTriMatrix 

FloatComplexVector 

FloatDataBlock 

FloatDWT 

FloatEigDecomp 

FloatEigDecompServer 

FloatHermitianBandMatrix 

FloatHermitianEigDecomp 

FloatHermitianEigDecompServer 

FloatHermitianFact 

FloatHermitianMatrix 

FloatHermitianPDBandFact 

FloatHermitianPDFact 

FloatHermPDTriDiagFact 

FloatLeastSquares 

FloatLowerTriMatrix 

FloatLUFact 

FloatMatrix 

FloatNonnegativeLeastSquares ,

FloatQRDecomp 

FloatQRDecompServer 

FloatQRLeastSq 

FloatRandomBetaDistribution 

FloatRandomExponentialDistribution 

FloatRandomGammaDistribution 

FloatRandomGaussianDistribution 

FloatRandomGumbelDistribution 

FloatRandomLaplaceDistribution 

FloatRandomLogNormalDistribution 

FloatRandomRayleighDistribution 

FloatRandomUniformDistribution 

FloatRandomWeibullDistribution 

FloatSVDecomp 

FloatSVDecompServer 

FloatSVDLeastSq 

FloatSymBandMatrix 

FloatSymEigDecomp 

FloatSymEigDecompServer 

FloatSymFact 

FloatSymmetricMatrix 

FloatSymPDBandFact 

FloatSymPDFact 

FloatSymPDTriDiagFact 

FloatTriDiagFact 

FloatTriDiagMatrix 

FloatUpperTriMatrix 

FloatVector 

FloatWavelet 

Frobenius norm 

function encapsulation 

function evaluation ,

function interpolation 

functions of one variable 

FZero 

fzero 

G

GAC ,

gamma function 

Gauss-Kronrod integration ,

GaussKronrodIntegrator , , ,

gcAllowVeryLargeObjects 

general sparse matrix ,

general sparse matrix factorizations 

generalized multivariable functions 

generalized one variable functions 

generating random numbers 

generic functions , ,

global assembly cache ,

global minimum 

golden section search 

GoldenMinimizer 

goodness of fit ,

GPU acceleration ,

GPU logging 

GPU tuning 

GpuConfigurationException 

graphing 

H

half bandwidth , , ,

harmonic number 

Hermitian banded matrices 

Hermitian matrices 

high-pass decimation filter 

high-pass reconstruction filter 

Histogram 

histograms

adding data 

creating 

displaying 

stem-leaf diagrams 

hypergeometric functions 

I

IBoundedNonlinearLeastSqMinimizer , ,

IComputeDevice 

IDifferentiator 

IDoubleLeastSqWeightingFunction 

IIntegrator , ,

implicit conversion 

matrices 

vectors 

IMultiVariableDMinimizer ,

IMultiVariableMinimizer ,

incomplete beta function 

incomplete gamma integral 

independent streams 

indexers , ,

indexing objects 

IndexOutOfRangeException 

infinity-norm ,

inner product 

inner product of matrices 

INonlinearLeastSqMinimizer , ,

integer nonlinear programming ,

integration 

integration of polynomials 

Intel Math Kernel Library , ,

intercept parameter ,

InteriorPointQPSolver ,

interpolation 

IntRandomBernoulliDistribution 

IntRandomBinomialDistribution 

IntRandomGeometricDistribution 

IntRandomHypergeometricDistribution 

IntRandomNegativeBinomialDistribution 

IntRandomPoissonDistribution 

IntRandomPoissonVaryingMeanDistribution 

IntRandomUniformBitsDistribution 

IntRandomUniformDistribution 

InvalidArgumentException 

InvalidBinBdryException 

inverse , ,

IOneVariableDMinimizer ,

IOneVariableDRootFinder ,

IOneVariableMinimizer ,

IOneVariableRootFinder 

IRandomNumberDistribution 

ISerializable interface 

iteratively reweighted least squares 

K

KernelLoadException 

L

large objects 

leapfrog method 

LeapfrogRandomStreams 

least squares

Cholesky 

QR decomposition 

solving 

SVD 

least squares solutions ,

left singular vectors 

Levenberg-Marquardt method , ,

LevenbergMarquardtMinimizer ,

libiomp.dll 

license key 

linear bound constraints 

linear constraints ,

linear interpolation 

linear programming 

linear spline interpolation 

LinearAnnealingSchedule 

LinearConstraint 

LinearContraint 

LinearProgrammingProblem 

local minima 

log file 

logistic function 

lower bandwidth , ,

lower triangular matrices 

lower triangular matrix ,

low-pass decimation filter 

low-pass reconstruction filter 

LP problems 

LU factorization , , , ,

M

manipulating functions 

matrices

arithmetic operations , , ,

clearing 

copying 

creating from ADO.NET objects ,

creating from numeric values 

creating from strings 

equality testing , , ,

functions , , ,

implicit conversion 

modifying values , , ,

properties 

resizing ,

matrix

decompositions 

factorization , ,

functions 

norms 

properties 

shape parameters 

transposition , ,

types 

matrix classes 

matrix indexers 

matrix norm 

matrix transposition 

matrix views 

MatrixFunctions 

MatrixNotSquareException 

maximum iterations 

mean ,

median ,

Mersenne Twister algorithm 

Microsoft Chart Controls for .NET 

Microsoft Solver Foundation ,

min/max functions

vectors ,

minimization ,

MinimizerBase ,

MismatchedSizeException 

MixedIntegerLinearProgrammingProblem , ,

MixedIntegerNonlinearProgrammingProblem 

MKL , ,

Modified Bessel functions 

moving average 

MovingWindowFilter 

MultiVariableFunction , , ,

MultiVariableFunctionFitter 

multivariate functions 

N

natural cubic spline 

Newton-Cotes formulas 

NewtonRalphsonRootFinder 

Newton-Raphson Method 

NiederreiterQuasiRandomGenerator 

NMath Premium ,

NMath Premium assemblies 

NMath.dll 

NMathChart 

NMathConfiguration 

NMathException 

NMathFormatException 

NMathKernelx64.dll ,

NMathKernelx86.dll ,

nonlinear least squares 

Nonlinear Programming (NLP) ,

NonlinearConstraint 

NonlinearProgrammingProblem 

nonnegative least squares ,

nonnegative least squares solutions 

norm of a complex number 

norms 

numerical integration 

numerical rank 

NVIDIA ,

O

objective function 

OMP threading library 

one-norm 

OneVariableFunction ,

OneVariableFunctionFitter 

operators , ,

optimization ,

order ,

ordinary differential equations 

outer product 

P

parabolic interpolation 

peak finding ,

PeakFinderRuleBased ,

PeakFinderSavitzkyGolay ,

permutation matrices ,

permutation matrix ,

phase 

pivot indices 

pivoting ,

plotting 

pointers to underlying data ,

polar coordinates ,

polylogarithm 

Polynomial ,

PolynomialLeastSquares ,

polynomials 

Position enumeration 

positive definite matrices ,

Powell's Method 

PowellMinimizer 

predicted values 

PrimalSimplexSolver ,

PrimalSimplexSolverParam 

product of matrices 

pseudoinverse 

Q

QR decomposition 

classes 

least squares 

servers 

Quadratic Programming (QP) ,

QuadraticProgrammingProblem 

quadrature 

quasi-Newton method 

quasirandom numbers 

R

R2 ,

RandGenBeta 

RandGenBinomial 

RandGenExponential 

RandGenGamma 

RandGenGeometric 

RandGenJohnson 

RandGenLogNormal 

RandGenMTwist 

RandGenNormal 

RandGenPareto 

RandGenPoisson 

RandGenUniform 

RandGenWeibull 

random number generators , ,

scalar 

vectorized 

random seeds 

RandomNumberGenerator ,

RandomNumbers 

RandomNumberStream ,

Range 

ranges ,

rank 

references 

replicating a matrix 

RepMat() functions 

residual standard error ,

residual sum of squares 

residual vector 

residuals ,

resizing

matrices 

vectors 

resizing matrices 

reversing a vector 

Ridders' Method 

RiddersDifferentiator ,

RiddersRootFinder 

Riemann zeta function 

right singular vectors 

Romberg integration 

RombergIntegrator , ,

RootFinderBase 

root-finding 

rounding functions ,

Rule-based peak finding 

Runge-Kutta method 

RungeKutta45OdeSolver 

RungeKutta5OdeSolver 

RungeKuttaSolver ,

S

Savitzky-Golay 

SavitzkyGolayFilter ,

secant method 

SecantRootFinder 

seeds for random number generators 

SequentialQuadraticProgrammingSolver 

serialization 

signal processing 

Simpson's rule 

simulated annealing 

sine function 

singular value decomposition ,

classes 

servers 

singular values 

singular vectors 

SingularMatrixException 

skip-ahead 

SkipAheadRandomStreams 

Slice 

slices ,

smooth splines 

SmoothCubicSpline 

SOAP serialization 

SobolQuasiRandomGenerator 

solutions of linear systems , , , , , ,

solver parameters 

solving for right-hand sides ,

sorting functions ,

sparse vector 

SparseMatrixBuilder 

special functions , ,

spline interpolation 

square root ,

stiff differential equations 

stiff equations 

Stochastic Hill Climbing algorithm 

StochasticHillClimbingSolver 

structured sparse matrices 

sum of squares ,

surface fitting ,

SVD 

convergence 

least squares 

symmetric banded matrices 

symmetric matrices 

T

tabulated functions 

TabulatedFunction 

tiling a matrix 

transcendental functions , ,

transpose product ,

transposing matrices , , ,

trapezoidal rule 

triangular matrices ,

tridiagonal matrices 

trigonometric functions , , ,

Trust-Region method , , ,

TrustRegionMinimizer ,

TwoVariableIntegrator ,

typographic conventions 

U

upper bandwidth , ,

upper triangular matrices 

upper triangular matrix ,

V

variable bounds 

variable metric method 

VariableMetricMinimizer 

VariableOrderOdeSolver ,

variance ,

vector classes 

vector indexers 

vector views ,

vectors

arithmetic operations 

clearing 

copying 

creating from ADO.NET objects ,

creating from numeric values 

creating from strings 

equality testing 

functions 

implicit conversion 

modifying values 

properties 

resizing 

visualization 

W

wavelet 

wavelet threshold calculation 

wavelet thresholding 

Wavelet.Wavelets 

web applications 

web projects 

weighted least squares 

weighting functions ,

X

XML serialization 

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