R Source Codes

r_src, program 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, 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. eros, an R code which implements the Elementary Row Operations (ERO) used to define many matrix algorithms.
24. eros_test
25. euler, an R code which uses the forward Euler method to solve an ordinary differential equation (ODE).
26. euler_test
27. eulersys, an R code which uses the forward Euler method to solve a system of ordinary differential equations (ODE).
28. eulersys_test
29. fibonacci, an R code which evaluates the Fibonacci sequence.
30. fibonacci_test
31. findiff, an R code which applies the forward finite difference formula to a function.
32. findiff_test
33. fsolve_test, an R code which calls fsolve() which seeks the solution x of one or more nonlinear equations f(x)=0.
34. gauss_seidel, an R code which uses Gauss Seidel iteration to solve a linear system with a symmetric positive definite (SPD) matrix.
35. gauss_seidel_test
36. gaussint, an R code which estimates an integral using a Gauss quadrature rule.
37. gaussint_test
38. gd, an R code which seeks a minimizer of a multivariate function using gradient descent.
39. gd_test
40. gdls, an R code which uses gradient_descent to solve a least squares problem.
41. gdls_test
42. giniquintile, an R code which computes the Gini quintile.
43. giniquintile_test
44. goldsectmax, an R code which seeks a maximizer of a function using golden section search.
45. goldsectmax_test
46. gradasc, an R code which seeks a maximizer of a function using gradient ascent.
47. gradasc_test
48. graddsc, an R code which seeks a minimizer of a function using gradient descent.
49. graddsc_test
50. graphics_test, R programs which demonstrate how to make various kinds of plots.
51. heat, an R code which solves the 1D heat equation using the forward time centered space (FTCS) method.
52. heat_test
53. hello, an R code which prints out "Hello, world!".
54. hello_test
55. hillclimbing, an R code which seeks a minimizer of a function using the hill climbing method.
56. hillclimbing_test
57. horner, an R code which evaluates a polynomial using Horner's method.
58. horner_test
59. is_prime, an R code which is true if a given integer n is prime.
60. is_prime_test
61. jacobi, an R code which uses Jacobi iteration to solve a linear system with a symmetric positive definite (SPD) matrix.
62. jacobi_test
63. leastsquares, an R code which solves an overdetermined linear system using the normal equations.
64. leastsquares_test
65. linear_lab, a laboratory exercise which looks for linear relationships between statistical data extracted from a file.
66. linterp, an R code which finds the line between two data points.
67. linterp_test
68. local_min, an R code which finds a local minimizer of a scalar function of a scalar variable, by Richard Brent.
69. local_min_test
70. lumatrix, an R code which computes the Lower-Upper (LU) triangular factorization of a matrix.
71. lumatrix_test
72. machine, an R code which returns values of the constants associated with computer arithmetic.
73. machine_test
74. mcint, an R code which estimates an integral using the Monte Carlo method.
75. mcint_test
76. mcint2, an R code which estimates an integral over a rectangle using the Monte Carlo method.
77. mcint2_test
78. 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.
79. midpoint_test
80. 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.
81. midpoint_explicit_test
82. 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.
83. midpoint_fixed_test
84. midpoint_quad, an R code which estimates an integral using the midpoint quadrature rule.
85. midpoint_quad_test
86. newton, an R code which seeks a root of a function using the Newton method.
87. newton_test
88. nn, an R code which does nearest neighbor interpolation.
89. nn_test
90. nth_root, an R code which uses Newton's method to find the n-th root of a number.
91. nth_root_test
92. persistence, an R code which demonstrates how to initialize, get, or set data stored within a function, using static/persistent/saved/local memory.
93. persistence_test
94. plot_lab, a laboratory exercise which considers the various kinds of plots that can be made using R.
95. polyinterp, an R code which sets up Vandermonde polynomial interpolation.
96. polyinterp_test
97. pwiselinterp, an R code which finds the intercept and slope for a sequence of piecewise linear interpolants.
98. pwiselinterp_test
99. qbezier, an R code which evaluates a quadratic Bezier curve.
100. qbezier_test
101. quadratic, an R code which computes the roots of a quadratic equation ax^2+bx+c=0.
102. quadratic_test
103. r8lib, an R code which contains utilities for real 64 bit (R8) arithmetic.
104. r8lib_test
105. refmatrix, an R code which computes the Row Echelon Form (REF) of a matrix.
106. refmatrix_test
107. resizeImageBL, an R code which resizes an image using bilinear interpolation.
108. resizeImageBL_test
109. resizeImageNN, an R code which resizes an image using nearest neighbor interpolation.
110. resizeImageNN_test
111. romberg, an R code which estimates an integral using Romberg extrapolation.
112. romberg_test
113. rrefmatrix, an R code which computes the Reduced Row Echelon Form (RREF) of a matrix.
114. rrefmatrix_test
115. rk4, an R code which uses the 4th order Runge-Kutta method to solve an ordinary differential equation (ODE).
116. rk4_test
117. sa, an R code which seeks a minimizer of a function using simulated annealing.
118. sa_test
119. secant, an R code which seeks a root of a function using the secant method.
120. secant_test
121. 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.
122. shellmethod, an R code which estimates the volume inside a surface of revolution using the shell method.
123. shellmethod_test
124. simp, an R code which estimates an integral using Simpson's quadrature rule.
125. simp_test
126. simp38, an R code which estimates an integral using Simpson's 3/8 quadrature rule.
127. simp38_test
128. solvematrix, an R code which solves a linear system by transforming it to Reduced Row Echelon Form (RREF).
129. solvematrix_test
130. stiff_ode, an R code which considers an ordinary differential equation (ODE) which is an example of a stiff ODE.
131. stiff_ode_test
132. symdiff, an R code which applies the symmetric finite difference formula to a function.
133. symdiff_test
134. tester, a BASH script which runs the test programs.
135. timestamp, an R code which prints the current YMDHMS date as a timestamp.
136. timestamp_test
137. trapezoid, an R code which estimates an integral using the trapezoid quadrature rule.
138. trapezoid_test
139. 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.
140. trapezoidal_test
141. 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.
142. trapezoidal_fixed_test
143. tridiagmatrix, an R code which solves a linear system with a tridiagonal matrix.
144. tridiagmatrix_test
145. tspsa, an R code which solves the traveling salesperson problem using simulated annealing.
146. tspsa_test
147. vecnorm, an R code which computes the L2 norm of a vector.
148. vecnorm_test
149. wave, an R code which solves the 1D wave equation using the finite difference method.
150. wave_test
151. xls_io, R codes which illustrate how the Microsoft EXCEL program can share data with R.
152. zero_brent, an R code which finds a zero of a scalar function of a scalar variable, by Richard Brent.
153. zero_brent_test