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  1. This is gsl-ref.info, produced by Makeinfo version 3.12h from
  2. gsl-ref.texi.
  3.  
  4. INFO-DIR-SECTION Scientific software
  5. START-INFO-DIR-ENTRY
  6. * gsl-ref: (gsl-ref).                   GNU Scientific Library - Reference
  7. END-INFO-DIR-ENTRY
  8.  
  9.    This file documents the GNU Scientific Library.
  10.  
  11.    Copyright (C) 1996, 1997, 1998, 1999 The GSL Project.
  12.  
  13.    Permission is granted to make and distribute verbatim copies of this
  14. manual provided the copyright notice and this permission notice are
  15. preserved on all copies.
  16.  
  17.    Permission is granted to copy and distribute modified versions of
  18. this manual under the conditions for verbatim copying, provided that
  19. the entire resulting derived work is distributed under the terms of a
  20. permission notice identical to this one.
  21.  
  22.    Permission is granted to copy and distribute translations of this
  23. manual into another language, under the above conditions for modified
  24. versions, except that this permission notice may be stated in a
  25. translation approved by the Foundation.
  26.  
  27. 
  28. Indirect:
  29. gsl-ref.info-1: 1000
  30. gsl-ref.info-2: 50203
  31. gsl-ref.info-3: 96946
  32. gsl-ref.info-4: 119976
  33. gsl-ref.info-5: 169612
  34. gsl-ref.info-6: 217660
  35. gsl-ref.info-7: 264988
  36. gsl-ref.info-8: 314359
  37. gsl-ref.info-9: 364281
  38. gsl-ref.info-10: 413231
  39. gsl-ref.info-11: 463063
  40. gsl-ref.info-12: 513025
  41. gsl-ref.info-13: 554494
  42. gsl-ref.info-14: 602768
  43. gsl-ref.info-15: 632520
  44. gsl-ref.info-16: 659396
  45. gsl-ref.info-17: 746000
  46. 
  47. Tag Table:
  48. (Indirect)
  49. Node: Top1000
  50. Node: Preliminaries2157
  51. Node: Using the library2802
  52. Node: ANSI C Compliance3308
  53. Node: Compiling and Linking4370
  54. Node: Shared Libraries6088
  55. Node: Automake macros6655
  56. Node: Inline functions7728
  57. Node: Long double8663
  58. Node: Alternative optimized functions9989
  59. Node: Support for different numeric types11168
  60. Node: Compatibility with C++14279
  61. Node: Aliasing of arrays14594
  62. Node: Error handling in GSL15074
  63. Node: Error reporting15712
  64. Node: Error handlers19098
  65. Node: Using GSL error reporting in your own functions23260
  66. Node: Mathematical Functions25159
  67. Node: Mathematical Constants25794
  68. Node: Elementary Functions26909
  69. Node: Testing the Sign of Numbers27535
  70. Node: Testing for Odd and Even Numbers27957
  71. Node: Maximum and Minimum functions28503
  72. Node: Complex Numbers30512
  73. Ref: Complex Numbers-Footnote-131738
  74. Node: Complex numbers31847
  75. Node: Properties of complex numbers33624
  76. Node: Complex arithmetic operators34599
  77. Node: Elementary Complex Functions37328
  78. Node: Complex Trigonometric Functions39132
  79. Node: Inverse Complex Trigonometric Functions40339
  80. Node: Complex Hyperbolic Functions42925
  81. Node: Inverse Complex Hyperbolic Functions44207
  82. Node: Complex Number References and Further Reading46025
  83. Node: Vectors and Matrices47429
  84. Node: Data types48995
  85. Node: The block struct50203
  86. Node: Block allocation51057
  87. Node: Reading and writing blocks52488
  88. Node: Example programs for blocks54553
  89. Node: The vector struct55199
  90. Node: Vector allocation56779
  91. Node: Accessing vector elements58339
  92. Ref: Accessing vector elements-Footnote-160041
  93. Node: Initializing vector elements60168
  94. Node: Reading and writing vectors60860
  95. Node: Creating subvector views62952
  96. Node: Copying vectors65614
  97. Node: Exchanging elements66443
  98. Node: Vector operations67003
  99. Node: Finding maximum and minimum elements of vectors68451
  100. Node: Vector properties69971
  101. Node: Example programs for vectors70332
  102. Node: The matrix struct72052
  103. Node: Matrix allocation74312
  104. Node: Accessing matrix elements75920
  105. Node: Initializing matrix elements77210
  106. Node: Reading and writing matrices78003
  107. Node: Creating submatrix views80107
  108. Node: Creating row and column views81597
  109. Node: Copying matrices82974
  110. Node: Copying rows and columns83584
  111. Node: Exchanging rows and columns85141
  112. Node: Matrix operations86250
  113. Node: Finding maximum and minimum elements of matrices87775
  114. Node: Matrix properties89473
  115. Node: Example programs for matrices89836
  116. Node: Vector and Matrix References and Further Reading92241
  117. Node: BLAS Support92743
  118. Node: Introduction93005
  119. Node: Organization93951
  120. Node: GSL BLAS Interface96946
  121. Node: Raw BLAS Interface119976
  122. Node: BLAS References and Further Reading150916
  123. Node: Linear Algebra152022
  124. Node: LU Decomposition152966
  125. Node: QR Decomposition156622
  126. Node: QR Decomposition with Column Pivoting161228
  127. Node: Singular Value Decomposition165144
  128. Node: Cholesky Decomposition167765
  129. Node: Householder solver for linear systems169612
  130. Node: Tridiagonal Systems170498
  131. Node: Linear Algebra References and Further Reading171034
  132. Node: Eigensystems172229
  133. Node: Special Functions172908
  134. Node: The gsl_sf_result struct173876
  135. Node: Airy Functions174801
  136. Node: Bessel Functions177707
  137. Node: Chebyshev Polynomials194108
  138. Node: Clausen Functions198670
  139. Node: Coulomb Wave Functions199150
  140. Node: Coupling Coefficients202810
  141. Node: Dawson Function204545
  142. Node: Debye Functions204961
  143. Node: Dilogarithm205965
  144. Node: Elementary Operations206927
  145. Node: Elliptic Integrals207712
  146. Node: Elliptic Functions (Jacobi)211584
  147. Node: Error Function212119
  148. Node: Exponential Function213514
  149. Node: Exponential Integrals217660
  150. Node: Fermi-Dirac Function220410
  151. Node: Gamma Function223404
  152. Node: Gegenbauer Functions229621
  153. Node: Hypergeometric Functions231213
  154. Node: Laguerre Functions234877
  155. Node: Legendre Functions and Spherical Harmonics236218
  156. Node: Logarithm and Related Functions245059
  157. Node: Polynomial Manipulation246548
  158. Node: Power Function246957
  159. Node: Psi (Digamma) Function247955
  160. Node: Synchrotron Functions249526
  161. Node: Transport Functions250413
  162. Node: Trigonometric Functions251648
  163. Node: Zeta Functions255753
  164. Node: Roots of Polynomials257290
  165. Node: Quadratic equations257977
  166. Node: Cubic equations259696
  167. Node: General polynomial equations261050
  168. Node: Roots of Polynomials Examples262921
  169. Node: Roots of Polynomials References and Further Reading264219
  170. Node: Interpolation264988
  171. Node: Series Acceleration269712
  172. Node: Acceleration functions270417
  173. Node: Example of accelerating a series271476
  174. Node: Series Acceleration References273877
  175. Node: Random Number Generation274580
  176. Node: General comments on random numbers275986
  177. Node: The Random Number Generator Interface277934
  178. Node: Random number generator initialization279285
  179. Node: Sampling from a random number generator281795
  180. Node: Auxiliary random number generator functions284271
  181. Node: Random number environment variables285905
  182. Node: Saving and restoring random number generator state288369
  183. Node: Random number generator algorithms289538
  184. Node: Unix random number generators297842
  185. Node: Numerical Recipes generators301561
  186. Node: Other random number generators302944
  187. Node: Random Number Generator Performance309503
  188. Node: Random Number References and Further Reading310826
  189. Node: Random Number Acknowledgements311888
  190. Node: Random Number Distributions312362
  191. Node: The Gaussian Distribution314359
  192. Node: The Gaussian Tail Distribution315756
  193. Node: The Bivariate Gaussian Distribution317367
  194. Node: The Exponential Distribution318645
  195. Node: The Laplace Distribution319326
  196. Node: The Exponential Power Distribution320022
  197. Node: The Cauchy Distribution320994
  198. Node: The Rayleigh Distribution321833
  199. Node: The Rayleigh Tail Distribution322604
  200. Node: The Symmetric Levy Distribution323512
  201. Node: The Gamma Distribution324487
  202. Node: The Flat (Uniform) Distribution325170
  203. Node: The Lognormal Distribution325852
  204. Node: The Chi-squared Distribution326648
  205. Node: The F-distribution327587
  206. Node: The t-distribution328687
  207. Node: The Beta Distribution329657
  208. Node: The Logistic Distribution330354
  209. Node: The Pareto Distribution331058
  210. Node: The Spherical Distribution (2D & 3D)331755
  211. Node: The Weibull Distribution335149
  212. Node: The Type-1 Gumbel Distribution335878
  213. Node: The Type-2 Gumbel Distribution336633
  214. Node: General Discrete Distributions337387
  215. Node: The Poisson Distribution341235
  216. Node: The Bernoulli Distribution341956
  217. Node: The Binomial Distribution342682
  218. Node: The Negative Binomial Distribution343556
  219. Node: The Pascal Distribution344563
  220. Node: The Geometric Distribution345386
  221. Node: The Hypergeometric Distribution346196
  222. Node: The Logarithmic Distribution347160
  223. Node: Shuffling and Sampling347935
  224. Node: Random Number Distribution Examples350781
  225. Node: Random Number Distribution References and Further Reading352395
  226. Node: Permutations353600
  227. Node: The Permutation struct354595
  228. Node: Permutation allocation355090
  229. Node: Accessing permutation elements356265
  230. Node: Permutation properties357021
  231. Node: Permutation functions357709
  232. Node: Applying Permutations358210
  233. Node: Reading and writing permutations359302
  234. Node: Permutation Examples361467
  235. Node: Permutation References and Further Reading362967
  236. Node: Sorting363380
  237. Node: Sorting objects364281
  238. Node: Sorting vectors366971
  239. Node: Computing the rank369511
  240. Node: Sorting Examples370681
  241. Node: Sorting References and Further Reading371151
  242. Node: Statistics371687
  243. Node: Mean and standard deviation and variance372941
  244. Node: Absolute deviation375986
  245. Node: Higher moments (skewness and kurtosis)377270
  246. Node: Autocorrelation379397
  247. Node: Covariance380080
  248. Node: Weighted Samples380764
  249. Node: Maximum and Minimum values385082
  250. Node: Median and Percentiles387518
  251. Node: Statistical tests389917
  252. Node: Example statistical programs390136
  253. Node: Statistics References and Further Reading392578
  254. Node: Histograms393762
  255. Node: The histogram struct395442
  256. Node: Histogram allocation397242
  257. Node: Copying Histograms400664
  258. Node: Updating and accessing histogram elements401328
  259. Node: Searching histogram ranges404577
  260. Node: Histogram Statistics406040
  261. Node: Histogram Operations407591
  262. Node: Reading and writing histograms409419
  263. Node: Resampling from histograms412440
  264. Node: The histogram probability distribution struct413231
  265. Node: Example programs for histograms416126
  266. Node: Two dimensional histograms418100
  267. Node: The 2D histogram struct418812
  268. Node: 2D Histogram allocation420605
  269. Node: Copying 2D Histograms422540
  270. Node: Updating and accessing 2D histogram elements423231
  271. Node: Searching 2D histogram ranges426857
  272. Node: 2D Histogram Statistics428580
  273. Node: 2D Histogram Operations429712
  274. Node: Reading and writing 2D histograms431645
  275. Node: Resampling from 2D histograms435290
  276. Node: Example programs for 2D histograms438125
  277. Node: One dimensional Root-Finding439873
  278. Node: Root Finding Overview441116
  279. Node: Root Finding Caveats442968
  280. Node: Initializing the Solver444726
  281. Node: Providing the function to solve447350
  282. Node: Search Bounds and Guesses451161
  283. Node: Root Finding Iteration452237
  284. Node: Search Stopping Parameters453995
  285. Node: Root Bracketing Algorithms456499
  286. Node: Root Finding Algorithms using Derivatives459788
  287. Node: Root Finding Examples463063
  288. Node: Root Finding References and Further Reading470353
  289. Node: Multidimensional Root-Finding470983
  290. Node: Overview of Multidimensional Root Finding472389
  291. Node: Initializing the Multidimensional Solver474134
  292. Node: Providing the multidimensional system of equations to solve476994
  293. Node: Iteration of the multidimensional solver481792
  294. Node: Search Stopping Parameters for the multidimensional solver483483
  295. Node: Algorithms using Derivatives485265
  296. Node: Algorithms without Derivatives489998
  297. Node: Example programs for Multidimensional Root finding492792
  298. Node: References and Further Reading for Multidimensional Root Finding501447
  299. Node: Minimization502679
  300. Node: Minimization Overview503922
  301. Node: Minimization Caveats505587
  302. Node: Initializing the Minimizer506901
  303. Node: Providing the function to minimize509458
  304. Node: Minimization Iteration509914
  305. Node: Minimization Stopping Parameters511444
  306. Node: Minimization Algorithms513025
  307. Node: Minimization Examples515420
  308. Node: Minimization References and Further Reading518404
  309. Node: Simulated Annealing518769
  310. Node: Simulated Annealing algorithm519836
  311. Node: Simulated Annealing functions521331
  312. Node: Examples with Simulated Annealing523645
  313. Node: Trivial example524185
  314. Node: Traveling Salesman Problem526615
  315. Node: Fast Fourier Transforms529850
  316. Node: Mathematical Definitions531069
  317. Node: Overview of complex data FFTs533467
  318. Node: Radix-2 FFT routines for complex data536130
  319. Node: Mixed-radix FFT routines for complex data539838
  320. Node: Overview of real data FFTs549235
  321. Node: Radix-2 FFT routines for real data551665
  322. Node: Mixed-radix FFT routines for real data554494
  323. Node: FFT References and Further Reading566223
  324. Node: Discrete Hankel Transforms569197
  325. Node: Numerical Integration570149
  326. Node: QNG non-adaptive Gauss-Kronrod integration574828
  327. Node: QAG adaptive integration576045
  328. Node: QAGS adaptive integration with singularities578681
  329. Node: QAGP adaptive integration with known singular points580471
  330. Node: QAGI adaptive integration on infinite intervals581771
  331. Node: QAWC adaptive integration for Cauchy principal values583985
  332. Node: QAWS adaptive integration for singular functions585148
  333. Node: QAWO adaptive integration for oscillatory functions588356
  334. Node: QAWF adaptive integration for Fourier integrals591940
  335. Node: Numerical integration error codes594527
  336. Node: Numerical integration examples595248
  337. Node: Numerical integration References and Further Reading597206
  338. Node: Monte Carlo Integration597922
  339. Node: Algorithms598598
  340. Node: Interface602768
  341. Node: Example606948
  342. Node: The Future608503
  343. Node: Ordinary Differential Equations (ODEs)609112
  344. Node: IEEE floating-point arithmetic609451
  345. Node: Representation of floating point numbers610054
  346. Node: Setting up your IEEE environment614546
  347. Node: IEEE References and Further Reading620362
  348. Node: Debugging Numerical Programs621366
  349. Node: Using gdb621725
  350. Node: GCC warning options for numerical programs625041
  351. Node: Contributors to GSL629367
  352. Node: Copying630587
  353. Node: Concept Index632520
  354. Node: Function Index659396
  355. Node: Variable Index746000
  356. Node: Type Index746554
  357. 
  358. End Tag Table
  359.