r_src

r_src, code in the R programming language, for statistical computation and graphics.

More information can be found at https://www.r-project.org/.

1. adamsbashforth, an R code which uses the Adams Bashforth method to solve an ordinary differential equation (ODE).
2. adamsbashforth_test
3. adaptint, an R code which estimates an integral using an adaptive midpoint quadrature rule.
4. adaptint_test
5. backward_euler, an R code which implements the (implicit) backward Euler method for solving an ordinary differential equation (ODE).
6. backward_euler_test
7. batch, R programs which illustrate how a set of R commands can be executed in "batch mode".
8. bilinear, an R code which evaluates a bilinear interpolant.
9. bilinear_test
10. bisection, an R code which applies the bisection method to seek a root of f(x) over a change-of-sign interval a <= x <= b.
11. bisection_test
12. bvpexample, an R code which determines the correct additional initial condition to convert a boundary value problem (BVP) into an initial value problem (IVP).
13. bvpexample_test
14. cbezier, an R code which evaluates a cubic Bezier curve.
15. cbezier_test
16. choleskymatrix, an R code which computes the Cholesky L L' factorization of a matrix.
17. choleskymatrix_test
18. cubicspline, an R code which computes the cubic spline interpolant to data.
19. cubicspline_test
20. csv_io_test, an R code which illustrates how to read or write comma separated value (CSV) files.
21. discmethod, an R code which estimates the volume inside a surface of revolution using the disc method.
22. discmethod_test
23. einsum_test, an R code which tests the einsum() function, which applies Einstein summation for various linear algebra operations, including vector inner and outer products, matrix-vector and matrix-matrix multiplication, matrix transpose, matrix diagonal, matrix trace, row and column sums, Hadamard matrix (elementwise) multiplication.
24. eros, an R code which implements the Elementary Row Operations (ERO) used to define many matrix algorithms.
25. eros_test
26. euler, an R code which uses the forward Euler method to solve an ordinary differential equation (ODE).
27. euler_test
28. eulersys, an R code which uses the forward Euler method to solve a system of ordinary differential equations (ODE).
29. eulersys_test
30. fibonacci, an R code which evaluates the Fibonacci sequence.
31. fibonacci_test
32. findiff, an R code which applies the forward finite difference formula to a function.
33. findiff_test
34. fsolve_test, an R code which calls fsolve() which seeks the solution x of one or more nonlinear equations f(x)=0.
35. gauss_seidel, an R code which uses Gauss Seidel iteration to solve a linear system with a symmetric positive definite (SPD) matrix.
36. gauss_seidel_test
37. gaussint, an R code which estimates an integral using a Gauss quadrature rule.
38. gaussint_test
39. gd, an R code which seeks a minimizer of a multivariate function using gradient descent.
40. gd_test
41. gdls, an R code which uses gradient_descent to solve a least squares problem.
42. gdls_test
43. giniquintile, an R code which computes the Gini quintile.
44. giniquintile_test
45. golden_section, an R code which seeks a maximizer of a unimodular function ("U-shaped") over an interval [a,b], using golden section search.
46. golden_section_test
47. gradasc, an R code which seeks a maximizer of a function using gradient ascent.
48. gradasc_test
49. graddsc, an R code which seeks a minimizer of a function using gradient descent.
50. graddsc_test
51. graphics_test, R programs which demonstrate how to make various kinds of plots.
52. heat, an R code which solves the 1D heat equation using the forward time centered space (FTCS) method.
53. heat_test
54. hello, an R code which prints out "Hello, world!".
55. hello_test
56. hillclimbing, an R code which seeks a minimizer of a function using the hill climbing method.
57. hillclimbing_test
58. horner, an R code which evaluates a polynomial using Horner's method.
59. horner_test
60. is_prime, an R code which is true if a given integer n is prime.
61. is_prime_test
62. jacobi, an R code which uses Jacobi iteration to solve a linear system with a symmetric positive definite (SPD) matrix.
63. jacobi_test
64. leastsquares, an R code which solves an overdetermined linear system using the normal equations.
65. leastsquares_test
66. linear_lab, a laboratory exercise which looks for linear relationships between statistical data extracted from a file.
67. linterp, an R code which finds the line between two data points.
68. linterp_test
69. local_min, an R code which finds a local minimizer of a scalar function of a scalar variable, by Richard Brent.
70. local_min_test
71. lumatrix, an R code which computes the Lower-Upper (LU) triangular factorization of a matrix.
72. lumatrix_test
73. machine, an R code which returns values of the constants associated with computer arithmetic.
74. machine_test
75. mcint, an R code which estimates an integral using the Monte Carlo method.
76. mcint_test
77. mcint2, an R code which estimates an integral over a rectangle using the Monte Carlo method.
78. mcint2_test
79. midpt, an R code which solves one or more ordinary differential equations (ODE) using the midpoint method.
80. midpt_test
81. midpoint, an R code which solves one or more ordinary differential equations (ODE) using the (implicit) midpoint method, solving the implicit equation using fsolve() from the pracma library of Hans Borchers.
82. midpoint_test
83. midpoint_explicit, an R code which solves one or more ordinary differential equations (ODE) using the (explicit) midpoint method, also called the modified Euler method.
84. midpoint_explicit_test
85. midpoint_fixed, an R code which solves one or more ordinary differential equations (ODE) using the (implicit) midpoint method, for which the nonlinear equation is solved using a fixed point method.
86. midpoint_fixed_test
87. midpoint_quad, an R code which estimates an integral using the midpoint quadrature rule.
88. midpoint_quad_test
89. newton, an R code which seeks a root of a function using the Newton method.
90. newton_test
91. nn, an R code which does nearest neighbor interpolation.
92. nn_test
93. nth_root, an R code which uses Newton's method to find the n-th root of a number.
94. nth_root_test
95. persistence, an R code which demonstrates how to initialize, get, or set data stored within a function, using static/persistent/saved/local memory.
96. persistence_test
97. plot_lab, a laboratory exercise which considers the various kinds of plots that can be made using R.
98. polyinterp, an R code which sets up Vandermonde polynomial interpolation.
99. polyinterp_test
100. pwiselinterp, an R code which finds the intercept and slope for a sequence of piecewise linear interpolants.
101. pwiselinterp_test
102. qbezier, an R code which evaluates a quadratic Bezier curve.
103. qbezier_test
104. quadratic, an R code which computes the roots of a quadratic equation ax^2+bx+c=0.
105. quadratic_test
106. r8lib, an R code which contains utilities for real 64 bit (R8) arithmetic.
107. r8lib_test
108. refmatrix, an R code which computes the Row Echelon Form (REF) of a matrix.
109. refmatrix_test
110. resizeImageBL, an R code which resizes an image using bilinear interpolation.
111. resizeImageBL_test
112. resizeImageNN, an R code which resizes an image using nearest neighbor interpolation.
113. resizeImageNN_test
114. romberg, an R code which estimates an integral using Romberg extrapolation.
115. romberg_test
116. rrefmatrix, an R code which computes the Reduced Row Echelon Form (RREF) of a matrix.
117. rrefmatrix_test
118. rk4, an R code which uses the 4th order Runge-Kutta method to solve an ordinary differential equation (ODE).
119. rk4_test
120. sa, an R code which seeks a minimizer of a function using simulated annealing.
121. sa_test
122. secant, an R code which seeks a root of a function using the secant method.
123. secant_test
124. select_lab, a laboratory exercise which investigates how to create datasets in which some values are missing or unknown, how to select a portion of a data set for analysis, and how to merge items of data.
125. shellmethod, an R code which estimates the volume inside a surface of revolution using the shell method.
126. shellmethod_test
127. simp, an R code which estimates an integral using Simpson's quadrature rule.
128. simp_test
129. simp38, an R code which estimates an integral using Simpson's 3/8 quadrature rule.
130. simp38_test
131. solvematrix, an R code which solves a linear system by transforming it to Reduced Row Echelon Form (RREF).
132. solvematrix_test
133. stiff_ode, an R code which considers an ordinary differential equation (ODE) which is an example of a stiff ODE.
134. stiff_ode_test
135. symdiff, an R code which applies the symmetric finite difference formula to a function.
136. symdiff_test
137. test_values, an R code which supplies test values of various mathematical functions, including Abramowitz, AGM, Airy, Bell, Bernoulli, Bessel, Beta, Binomial, Bivariate Normal, Catalan, Cauchy, Chebyshev, Chi Square, Clausen, Clebsch Gordan, Collatz, Cosine integral, Dawson, Debye, Dedekind, dilogarithm, Dixon elliptic functions, Exponential integral, Elliptic, Error, Euler, Exponential integral, F probability, Fresnel, Frobenius, Gamma, Gegenbauer, Goodwin, Gudermannian, Harmonic, Hermite, Hypergeometric 1F1, Hypergeometric 2F1, inverse trigonometic, Jacobi Elliptic functions sn(), cn(), dn(), the Julian Ephemeris Date, Kelvin, Knapsack, Laguerre, Lambert W, Laplace, Legendre, Lerch, Lobachevsky, Lobatto, Logarithmic integral, Log normal, McNugget numbers, Mersenne primes, Mertens, Mittag-Leffler, Moebius, Multinomial, Negative binomial, Nine J, Normal, Omega, Owen, Partition, Phi, Pi, Poisson, Polylogarithm, Polynomial Resultant, Polyomino, Prime, Psi, Rayleigh, Hyperbolic Sine integral, Sigma, Sine Power integral, Sine integral, Six J, Sphere area, Sphere volume, Spherical harmonic, Stirling, Stromgen, Struve, Student, Subfactorial, Student probability, Three J, Transport, Trigamma, Truncated normal, van der Corput, von Mises, Weibull, Wright Omega, Zeta.
138. test_values_test
139. tester, a BASH script which runs the test programs.
140. timestamp, an R code which prints the current YMDHMS date as a timestamp.
141. timestamp_test
142. trapezoid, an R code which estimates an integral using the trapezoid quadrature rule.
143. trapezoid_test
144. trapezoidal, an R code which implements the (implicit) trapezoidal method for solving an ordinary differential equation (ODE), using fsolve() to handle the implicit equation, adapted from the pracma library of Hans Borchers.
145. trapezoidal_test
146. trapezoidal_fixed, an R code which implements the (implicit) trapezoidal method for solving an ordinary differential equation (ODE), using a fixed point method to handle the implicit equation, adapted from the pracma library of Hans Borchers.
147. trapezoidal_fixed_test
148. tridiagmatrix, an R code which solves a linear system with a tridiagonal matrix.
149. tridiagmatrix_test
150. tsp_anneal, an R code which solves the traveling salesperson problem (TSP) using simulated annealing.
151. tsp_anneal_test
152. tsp_att48, an R code which returns the (x,y) coordinates of the cities that constitute the AT&T 48 state challenge for the Traveling Salesman Problem (TSP).
153. tsp_att48_test
154. tsp_dantzig42, an R code which returns the (x,y) coordinates of the cities that constitute the Dantzig 42 state challenge for the Traveling Salesman Problem (TSP).
155. tsp_dantzig42_test
156. tsp_display, an R code which displays a solution of a Traveling Salesman Problem (TSP).
157. tsp_display_test
158. vecnorm, an R code which computes the L2 norm of a vector.
159. vecnorm_test
160. wave, an R code which solves the 1D wave equation using the finite difference method.
161. wave_test
162. xls_io_test, an R code which illustrates how the Microsoft EXCEL program can share data with R.
163. zero_brent, an R code which finds a zero of a scalar function of a scalar variable, by Richard Brent.
164. zero_brent_test