Numerical Recipes in C   Important. Effective 110. 7 61. Linux, you will need the free File. Open plugin for. Adobe Acrobat Reader to use this free resource. If you are getting. Numerical Recipes. The plugin is available for Windows, Mac OSX, and Linux. Please see. How to download. Numerical Recipes in C, Second Edition 1. Obsolete edition, no longer supported. Please consider using. Third Edition 2. C. Front Matter, Contents, and Prefaces xi. Legal Matters xvi. Interpolation and Extrapolation. GSL GNU Scientific Library Introduction. The GNU Scientific Library GSL is a numerical library for C and C programmers. It is free software under the GNU. Linear Program Polynomial Interpolation ExcelLinear Program Polynomial Interpolation OctaveHi Yoel. I am very grateful for your feedback. It is very exciting for me to know about realworld applications using my work. Noise robust differentiators without. Bee Gees Anthology Pdf. IP6.png' alt='Linear Program Polynomial Interpolation Fortran' title='Linear Program Polynomial Interpolation Fortran' />Computer Programs by Chapter and Section xix 1 Preliminaries 1. Introduction 1. 1. Program Organization and Control Structures 5. Some C Conventions for Scientific Computing 1. Error, Accuracy, and Stability 1. Solution of Linear Algebraic Equations 2. Introduction 3. 2. Gauss Jordan Elimination 3. Gaussian Elimination with Backsubstitution 4. LU Decomposition and Its Applications 4. Tridiagonal and Band Diagonal Systems of Equations 5. Iterative Improvement of a Solution to Linear Equations 5. Singular Value Decomposition 5. Sparse Linear Systems 7. Vandermonde Matrices and Toeplitz Matrices 9. Cholesky Decomposition 9. QR Decomposition 9. Is Matrix Inversion an N3 ProcessInterpolation and Extrapolation 3. Introduction 1. 05. Polynomial Interpolation and Extrapolation 1. Rational Function Interpolation and Extrapolation 1. Cubic Spline Interpolation 1. How to Search an Ordered Table 1. Coefficients of the Interpolating Polynomial 1. Interpolation in Two or More Dimensions 1. Integration of Functions 4. Introduction 1. 29. Classical Formulas for Equally Spaced Abscissas 1. Elementary Algorithms 1. Romberg Integration 1. Improper Integrals 1. Gaussian Quadratures and Orthogonal Polynomials 1. Multidimensional Integrals 1. Evaluation of Functions 5. Introduction 1. 65. Series and Their Convergence 1. Evaluation of Continued Fractions 1. Polynomials and Rational Functions 1. Complex Arithmetic 1. Recurrence Relations and Clenshaws Recurrence Formula 1. Quadratic and Cubic Equations 1. Numerical Derivatives 1. Chebyshev Approximation 1. Derivatives or Integrals of a Chebyshev approximated. Polynomial Approximation from Chebyshev Coefficients 1. Economization of Power Series 1. Pade Approximants 2. Rational Chebyshev Approximation 2. Evaluation of Functions by Path Integration 2. Special Functions 6. Introduction 2. 12. Gamma Function, Beta Function, Factorials, Binomial. Coefficients 2. 13. Incomplete Gamma Function, Error Function, Chi Square. Function, Cumulative Poisson Function 2. Exponential Integrals 2. Incomplete Beta Function, Students Distribution. F Distribution,Cumulative Binomial Distribution 2. Bessel Functions of Integer Order 2. Modified Bessel Functions of Integer Order 2. Bessel Functions of Fractional Order, Airy Functions. Spherical. Bessel Functions 2. Spherical Harmonics 2. Fresnel Integrals, Cosine and Sine Integrals 2. Dawsons Integral 2. Elliptic Integrals and Jacobian Elliptic Functions 2. Hypergeometric Functions 2. Random Numbers 7. Introduction 2. 74. Uniform Deviates 2. Transformation Method Exponential and Normal Deviates 2. Rejection Method Gamma, Poisson, Binomial Deviates 2. Generation of Random Bits 2. Random Sequences Based on Data Encryption 3. Simple Monte Carlo Integration 3. Quasi that is, Sub Random Sequences 3. Adaptive and Recursive Monte Carlo Methods 3. Sorting 8. 0 Introduction 3. Straight Insertion and Shells Method 3. Quicksort 3. 32. 8. Heapsort 3. 36. 8. Indexing and Ranking 3. Selecting the Mth Largest 3. Determination of Equivalence Classes 3. Root Finding and Nonlinear Sets of Equations 9. Introduction 3. 47. Bracketing and Bisection 3. Secant Method, False Position Method, and Ridders Method 3. Van Wijngaarden Dekker Brent Method 3. Newton Raphson Method Using Derivative 3. Roots of Polynomials 3. Newton Raphson Method for Nonlinear Systems of Equations 3. Globally Convergent Methods for Nonlinear Systems of. Minimization or Maximization of Functions 1. Introduction 3. 94. Golden Section Search in One Dimension 3. Parabolic Interpolation and Brents Method in One Dimension 4. One Dimensional Search with First Derivatives 3. Downhill Simplex Method in Multidimensions 4. Direction Set Powells Methods in Multidimensions 4. Conjugate Gradient Methods in Multidimensions 4. Variable Metric Methods in Multidimensions 4. Linear Programming and the Simplex Method 4. Simulated Annealing Methods 4. Eigensystems 1. 1. Introduction 4. 56. Jacobi Transformations of a Symmetric Matrix 4. Reduction of a Symmetric Matrix to Tridiagonal Form. Givens and Householder Reductions 4. Eigenvalues and Eigenvectors of a Tridiagonal Matrix 4. Hermitian Matrices 4. Reduction of a General Matrix to Hessenberg Form 4. The QR Algorithm for Real Hessenberg Matrices 4. Improving Eigenvalues andor Finding Eigenvectors by. Inverse Iteration 4. Fast Fourier Transform 1. Introduction 4. 96. Fourier Transform of Discretely Sampled Data 5. Fast Fourier Transform FFT 5. FFT of Real Functions, Sine and Cosine Transforms 5. FFT in Two or More Dimensions 5. Fourier Transforms of Real Data in Two and Three Dimensions 5. External Storage or Memory Local FFTs 5. Fourier and Spectral Applications 1. Introduction 5. 37. Convolution and Deconvolution Using the FFT 5. Correlation and Autocorrelation Using the FFT 5. Optimal Wiener Filtering with the FFT 5. Power Spectrum Estimation Using the FFT 5. Digital Filtering in the Time Domain 5. Linear Prediction and Linear Predictive Coding 5. Power Spectrum Estimation by the Maximum Entropy. All Poles Method 5. Spectral Analysis of Unevenly Sampled Data 5. Computing Fourier Integrals Using the FFT 5. Wavelet Transforms 5. Numerical Use of the Sampling Theorem 6. Statistical Description of Data 1. Introduction 6. 09. Moments of a Distribution Mean, Variance, Skewness. So Forth 6. 10. 1. Do Two Distributions Have the Same Means or VariancesAre Two Distributions Different Contingency Table Analysis of Two Distributions 6. Linear Correlation 6. Nonparametric or Rank Correlation 6. Do Two Dimensional Distributions Differ Savitzky Golay Smoothing Filters 6. Modeling of Data 1. Introduction 6. 56. Least Squares as a Maximum Likelihood Estimator 6. Fitting Data to a Straight Line 6. Straight Line Data with Errors in Both Coordinates 6. General Linear Least Squares 6. Nonlinear Models 6. Confidence Limits on Estimated Model Parameters 6. Robust Estimation 6. Integration of Ordinary Differential Equations 1. Introduction 7. 07. Runge Kutta Method 7. Adaptive Stepsize Control for Runge Kutta 7. Modified Midpoint Method 7. Richardson Extrapolation and the Bulirsch Stoer Method 7. Second Order Conservative Equations 7. Stiff Sets of Equations 7. Multistep, Multivalue, and Predictor Corrector Methods 7. Two Point Boundary Value Problems 1. Introduction 7. 53. The Shooting Method 7. Shooting to a Fitting Point 7. Relaxation Methods 7. A Worked Example Spheroidal Harmonics 7. Automated Allocation of Mesh Points 7. Handling Internal Boundary Conditions or Singular Points 7. Integral Equations and Inverse Theory 1. Introduction 7. 88. Fredholm Equations of the Second Kind 7. Volterra Equations 7. Integral Equations with Singular Kernels 7. Inverse Problems and the Use of A Priori Information 8. Linear Regularization Methods 8. Backus Gilbert Method 8. Maximum Entropy Image Restoration 8. Partial Differential Equations 1. Introduction 8. 27. Flux Conservative Initial Value Problems 8. Diffusive Initial Value Problems 8. Initial Value Problems in Multidimensions 8. Fourier and Cyclic Reduction Methods for Boundary. Value Problems 8. Relaxation Methods for Boundary Value Problems 8.