| Index Entry | Section |
|---|
|
| M | | |
|---|
| macros for mathematical constants | 4.1 Mathematical Constants |
| magnitude of complex number | 5.2 Properties of complex numbers |
| mailing list archives | 1.6 Further Information |
| mailing list for GSL announcements | 1.3 Obtaining GSL |
| mantissa, IEEE format | 37.1 Representation of floating point numbers |
| mass, units of | 36.9 Mass and Weight |
| mathematical constants, defined as macros | 4.1 Mathematical Constants |
| mathematical functions, elementary | 4. Mathematical Functions |
| matrices | 8. Vectors and Matrices |
| matrices | 8.4 Matrices |
| matrices, initializing | 8.4.3 Initializing matrix elements |
| matrices, range-checking | 8.4.2 Accessing matrix elements |
| matrix determinant | 12.1 LU Decomposition |
| matrix factorization | 12. Linear Algebra |
| matrix inverse | 12.1 LU Decomposition |
| matrix square root, Cholesky decomposition | 12.5 Cholesky Decomposition |
| matrix, operations | 11. BLAS Support |
| max | 19. Statistics |
| maximization, see minimization | 31. One dimensional Minimization |
| maximum of two numbers | 4.7 Maximum and Minimum functions |
| mean | 19. Statistics |
| min | 19. Statistics |
| Minimization, caveats | 31.2 Caveats |
| minimization, multidimensional | 33. Multidimensional Minimization |
| minimization, one-dimensional | 31. One dimensional Minimization |
| minimization, overview | 31.1 Overview |
| minimization, providing a function to minimize | 31.4 Providing the function to minimize |
| minimization, stopping parameters | 31.6 Stopping Parameters |
| minimum finding, brent's method | 31.7 Minimization Algorithms |
| minimum finding, golden section algorithm | 31.7 Minimization Algorithms |
| minimum of two numbers | 4.7 Maximum and Minimum functions |
| MINPACK, minimization algorithms | 32.6 Algorithms using Derivatives |
| MINPACK, minimization algorithms | 35.6 Minimization Algorithms using Derivatives |
| MISCFUN | 7.33 References and Further Reading |
| MISER monte carlo integration | 22.3 MISER |
| Mixed-radix FFT, complex data | 14.4 Mixed-radix FFT routines for complex data |
| Mixed-radix FFT, real data | 14.7 Mixed-radix FFT routines for real data |
| Modified Bessel Functions, Fractional Order | 7.5.11 Regular Modified Bessel Functions - Fractional Order |
| Modified Clenshaw-Curtis quadrature | 15.1 Introduction |
| Modified Cylindrical Bessel Functions | 7.5.3 Regular Modified Cylindrical Bessel Functions |
| Modified Givens Rotation, BLAS | 11.1.1 Level 1 |
| Modified Newton's Method for nonlinear systems | 32.6 Algorithms using Derivatives |
| Modified Spherical Bessel Functions | 7.5.7 Regular Modified Spherical Bessel Functions |
| Monte Carlo integration | 22. Monte Carlo Integration |
| MRG, multiple recursive random number generator | 16.8 Random number generator algorithms |
| MT19937 random number generator | 16.8 Random number generator algorithms |
| multidimensional root finding, Broyden algorithm | 32.7 Algorithms without Derivatives |
| multidimensional root finding, overview | 32.1 Overview |
| multidimensional root finding, providing a function to solve | 32.3 Providing the function to solve |
| Multimin, caveats | 33.2 Caveats |
| multiplication | 7.12 Elementary Operations |
|
| N | | |
|---|
| N-dimensional random direction vector | 18.22 The Spherical Distribution (2D & 3D) |
| NaN, defined as a macro | 4.2 Infinities and Not-a-number |
| nautical units | 36.6 Nautical Units |
| Negative Binomial distribution, random variates | 18.30 The Negative Binomial Distribution |
| Newton algorithm, discrete | 32.7 Algorithms without Derivatives |
| Newton's Method algorithm for finding roots | 30.9 Root Finding Algorithms using Derivatives |
| Newton's Method for systems of nonlinear equations | 32.6 Algorithms using Derivatives |
| Niederreiter sequence | 17. Quasi-Random Sequences |
| non-linear equation, solutions of | 30. One dimensional Root-Finding |
| non-linear functions, minimization | 31. One dimensional Minimization |
| nonlinear fitting, stopping parameters | 35.5 Search Stopping Parameters |
| nonlinear least squares fitting | 35. Nonlinear Least-Squares Fitting |
| nonlinear least-squares fitting, overview | 35.1 Overview |
| nonlinear systems of equations, solution of | 32. Multidimensional Root-Finding |
| normalized form, IEEE format | 37.1 Representation of floating point numbers |
| normalized incomplete Beta function | 7.19 Gamma Function |
| Not-a-number, defined as a macro | 4.2 Infinities and Not-a-number |
| NRM2, Level-1 BLAS | 11.1.1 Level 1 |
| ntuples | 21. N-tuples |
| nuclear physics, constants | 36.3 Atomic and Nuclear Physics |
| numerical constants, defined as macros | 4.1 Mathematical Constants |
| numerical derivatives | 26. Numerical Differentiation |
| numerical integration (quadrature) | 15. Numerical Integration |
| Numerical recipes, random number generators | 16.10 Numerical Recipes generators |
|
| O | | |
|---|
| obtaining GSL | 1.3 Obtaining GSL |
| ODEs, initial value problems | 24. Ordinary Differential Equations |
| optimization -- combinatorial | 23. Simulated Annealing |
| optimization, see minimization | 31. One dimensional Minimization |
| optimized functions, alternatives | 2.8 Alternative optimized functions |
| ordinary differential equations, initial value problem | 24. Ordinary Differential Equations |
| overflow, IEEE exceptions | 37.2 Setting up your IEEE environment |
|
| P | | |
|---|
| Pareto random variates | 18.21 The Pareto Distribution |
| PAW | 21.9 References and Further Reading |
| permutations | 9. Permutations |
| physical constants | 36. Physical Constants |
| physical dimension, matrices | 8.4 Matrices |
| pi, defined as a macro | 4.1 Mathematical Constants |
| plain monte carlo | 22.2 PLAIN Monte Carlo |
| Pochhammer symbol | 7.19 Gamma Function |
| Poisson random numbers | 18.27 The Poisson Distribution |
| polar form of complex numbers | 5.1 Complex numbers |
| polar to rectangular conversion | 7.30.4 Conversion Functions |
| polygamma functions | 7.27 Psi (Digamma) Function |
| polynomial evaluation | 6.1 Polynomial evaluation |
| polynomials, roots of | 6. Roots of Polynomials |
| power function | 7.26 Power Function |
| power of complex number | 5.4 Elementary Complex Functions |
| power, units of | 36.10 Thermal Energy and Power |
| precision, IEEE arithmetic | 37.2 Setting up your IEEE environment |
| pressure, units of | 36.11 Pressure |
| Prince-Dormand, Runge-Kutta method | 24.2 Stepping Functions |
| printers units | 36.7 Printers Units |
| probability distributions, from histograms | 20.9 Resampling from histograms |
| projection of ntuples | 21.7 Histogramming ntuple values |
| psi function | 7.27 Psi (Digamma) Function |
|