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  1. DB: ndocs 408840 lastdocid 429068 avglength 2296.42
  2. [...]
  3. [1]
  4. [2]
  5. [3]
  6. [4]
  7. [D20110212]
  8. [M201102]
  9. [Q/windows-d/science/math/computation/numerical computation/new file|]
  10. [Ttext/plain]
  11. [XSFNnew file]
  12. [Y2011]
  13. [a]
  14. [a+b+c+d+e]
  15. [a2b]
  16. [a3b]
  17. [ab]
  18. [abel]
  19. [accepted]
  20. [account]
  21. [accurate]
  22. [achieve]
  23. [additions]
  24. [after]
  25. [again]
  26. [algebra]
  27. [algebraic]
  28. [algorithm]
  29. [algorithms]
  30. [all]
  31. [already]
  32. [also]
  33. [amount]
  34. [an]
  35. [analysis]
  36. [and]
  37. [another]
  38. [answer]
  39. [any]
  40. [approach]
  41. [approximate]
  42. [approximated]
  43. [approximation]
  44. [approximations]
  45. [arbitrary]
  46. [are]
  47. [areas]
  48. [arise]
  49. [arising]
  50. [arithmetic]
  51. [art]
  52. [as]
  53. [ask]
  54. [asks]
  55. [associated]
  56. [assuming]
  57. [at]
  58. [b]
  59. [based]
  60. [be]
  61. [because]
  62. [become]
  63. [been]
  64. [being]
  65. [better]
  66. [between]
  67. [bisection]
  68. [both]
  69. [bringing]
  70. [broken]
  71. [but]
  72. [by]
  73. [c]
  74. [calculating]
  75. [calculation]
  76. [calculator]
  77. [called]
  78. [can]
  79. [cannot]
  80. [carlo]
  81. [case]
  82. [cases]
  83. [cause]
  84. [changed]
  85. [changes]
  86. [characteristic]
  87. [choice]
  88. [cholesky]
  89. [choose]
  90. [choosing]
  91. [coincide]
  92. [cols]
  93. [combination]
  94. [committed]
  95. [common]
  96. [commonly]
  97. [component]
  98. [computational]
  99. [compute]
  100. [computer]
  101. [computers]
  102. [computing]
  103. [conditioned]
  104. [conjugate]
  105. [conquer]
  106. [constraint]
  107. [constraints]
  108. [contains]
  109. [continuous]
  110. [continuum]
  111. [control]
  112. [converge]
  113. [convergence]
  114. [corresponding]
  115. [cotes]
  116. [criterion]
  117. [d]
  118. [data]
  119. [deals]
  120. [decide]
  121. [decomposition]
  122. [definite]
  123. [depending]
  124. [derivative]
  125. [determine]
  126. [diagnonal]
  127. [difference]
  128. [differentiable]
  129. [differential]
  130. [differentiation]
  131. [differs]
  132. [digital]
  133. [dimensional]
  134. [dimensions]
  135. [direct]
  136. [direction]
  137. [discrete]
  138. [discretization]
  139. [discretizing]
  140. [distinguished]
  141. [divide]
  142. [do]
  143. [does]
  144. [domain]
  145. [dominant]
  146. [done]
  147. [down]
  148. [during]
  149. [e]
  150. [e.g]
  151. [each]
  152. [efficient]
  153. [effort]
  154. [eigenvalue]
  155. [eigenvalues]
  156. [eigenvector]
  157. [eigenvectors]
  158. [either]
  159. [element]
  160. [elements]
  161. [elimination]
  162. [engineering]
  163. [equation]
  164. [equations]
  165. [error]
  166. [errors]
  167. [estimate]
  168. [evaluating]
  169. [evaluation]
  170. [even]
  171. [every]
  172. [exact]
  173. [exactly]
  174. [example]
  175. [examples]
  176. [except]
  177. [exist]
  178. [expected]
  179. [expensive]
  180. [extrapolation]
  181. [factorization]
  182. [famous]
  183. [far]
  184. [field]
  185. [file]
  186. [find]
  187. [finding]
  188. [finite]
  189. [finite-dimensional]
  190. [first]
  191. [fitting]
  192. [floating]
  193. [follows]
  194. [for]
  195. [form]
  196. [formula]
  197. [formulas]
  198. [found]
  199. [from]
  200. [function]
  201. [functional]
  202. [functions]
  203. [further]
  204. [g]
  205. [gauss]
  206. [gaussian]
  207. [general]
  208. [generally]
  209. [generated]
  210. [generation]
  211. [get]
  212. [give]
  213. [given]
  214. [gmres]
  215. [gradient]
  216. [grids]
  217. [grow]
  218. [guess]
  219. [happens]
  220. [has]
  221. [have]
  222. [hermitian]
  223. [higher]
  224. [hopefully]
  225. [horner]
  226. [however]
  227. [i]
  228. [i.e]
  229. [if]
  230. [ill]
  231. [ill-conditioned]
  232. [important]
  233. [impossible]
  234. [imprecise]
  235. [in]
  236. [include]
  237. [induces]
  238. [inexact]
  239. [infinite]
  240. [initial]
  241. [instance]
  242. [integral]
  243. [integrals]
  244. [integration]
  245. [interpolation]
  246. [into]
  247. [introduced]
  248. [involves]
  249. [is]
  250. [it]
  251. [iterate]
  252. [iterated]
  253. [iteration]
  254. [iterative]
  255. [iteratively]
  256. [its]
  257. [itself]
  258. [jacobi]
  259. [just]
  260. [justification]
  261. [known]
  262. [lagrange]
  263. [lambda]
  264. [large]
  265. [larger]
  266. [largest]
  267. [least]
  268. [like]
  269. [limit]
  270. [linear]
  271. [linearization]
  272. [lu]
  273. [machine]
  274. [magnitude]
  275. [manner]
  276. [mathematical]
  277. [matix]
  278. [matrices]
  279. [matrix]
  280. [maximized]
  281. [may]
  282. [meaning]
  283. [measure]
  284. [measurement]
  285. [memory]
  286. [method]
  287. [methods]
  288. [midpoint]
  289. [minimized]
  290. [modestly]
  291. [modification]
  292. [monte]
  293. [more]
  294. [most]
  295. [much]
  296. [multiplications]
  297. [multipliers]
  298. [multiply]
  299. [must]
  300. [n]
  301. [n+1]
  302. [necessary]
  303. [needed]
  304. [new]
  305. [newton]
  306. [newton's]
  307. [non]
  308. [non-square]
  309. [nonlinear]
  310. [normalized]
  311. [not]
  312. [noted]
  313. [number]
  314. [numbers]
  315. [numerical]
  316. [numerically]
  317. [objective]
  318. [obtain]
  319. [of]
  320. [off]
  321. [often]
  322. [on]
  323. [once]
  324. [one]
  325. [only]
  326. [operation]
  327. [operations]
  328. [optimization]
  329. [or]
  330. [order]
  331. [ordered]
  332. [ordinary]
  333. [original]
  334. [orthogonal]
  335. [orthonormalized]
  336. [orthonormalizing]
  337. [other]
  338. [outside]
  339. [over]
  340. [over-relaxation]
  341. [pair]
  342. [pairs]
  343. [partial]
  344. [particularly]
  345. [performed]
  346. [plugging]
  347. [point]
  348. [points]
  349. [polynomial]
  350. [polynomials]
  351. [popular]
  352. [posed]
  353. [posedness]
  354. [positive]
  355. [positive-definite]
  356. [possible]
  357. [power]
  358. [practical]
  359. [practice]
  360. [precise]
  361. [precision]
  362. [preferred]
  363. [principle]
  364. [problem]
  365. [problems]
  366. [procedure]
  367. [process]
  368. [programming]
  369. [prohibitively]
  370. [propagate]
  371. [propagation]
  372. [pts]
  373. [qr]
  374. [quadrature]
  375. [quasi]
  376. [quasi-monte]
  377. [radicals]
  378. [range]
  379. [rarely]
  380. [reach]
  381. [real]
  382. [reason]
  383. [reduce]
  384. [reduces]
  385. [regardless]
  386. [regression]
  387. [relatively]
  388. [relaxation]
  389. [rely]
  390. [repeatedly]
  391. [replaced]
  392. [represent]
  393. [represented]
  394. [result]
  395. [root]
  396. [root-finding]
  397. [roots]
  398. [round]
  399. [round-off]
  400. [ruffini]
  401. [rule]
  402. [s]
  403. [same]
  404. [satisfy]
  405. [scales]
  406. [scheme]
  407. [second]
  408. [see]
  409. [seidel]
  410. [sequence]
  411. [set]
  412. [sets]
  413. [several]
  414. [should]
  415. [simplest]
  416. [simplex]
  417. [simpson]
  418. [simpson's]
  419. [since]
  420. [singular]
  421. [slow]
  422. [small]
  423. [smaller]
  424. [so]
  425. [solution]
  426. [solve]
  427. [solved]
  428. [solves]
  429. [solving]
  430. [some]
  431. [sometimes]
  432. [sparse]
  433. [special]
  434. [specified]
  435. [split]
  436. [square]
  437. [squares]
  438. [squares-method]
  439. [stability]
  440. [stable]
  441. [standard]
  442. [starting]
  443. [steps]
  444. [straightforward]
  445. [strategy]
  446. [study]
  447. [subfields]
  448. [subspace]
  449. [successive]
  450. [such]
  451. [sufficiently]
  452. [suppose]
  453. [symmetric]
  454. [systems]
  455. [taken]
  456. [takes]
  457. [taking]
  458. [technique]
  459. [terminate]
  460. [terminated]
  461. [terms]
  462. [than]
  463. [that]
  464. [the]
  465. [then]
  466. [theorem]
  467. [theorems]
  468. [theoretical]
  469. [there]
  470. [these]
  471. [they]
  472. [this]
  473. [though]
  474. [through]
  475. [time]
  476. [to]
  477. [tri]
  478. [triangular]
  479. [true]
  480. [truncation]
  481. [two]
  482. [type]
  483. [unconstrained]
  484. [underlying]
  485. [unknown]
  486. [unstable]
  487. [use]
  488. [used]
  489. [useful]
  490. [using]
  491. [usually]
  492. [v1]
  493. [value]
  494. [values]
  495. [vector]
  496. [very]
  497. [volume]
  498. [want]
  499. [way]
  500. [ways]
  501. [we]
  502. [well]
  503. [well-conditioned]
  504. [well-posed]
  505. [well-posedness]
  506. [were]
  507. [what]
  508. [whatever]
  509. [when]
  510. [where]
  511. [whereby]
  512. [whether]
  513. [which]
  514. [whose]
  515. [will]
  516. [with]
  517. [within]
  518. [without]
  519. [would]
  520. [yield]
  521. [zero]
  522. [λ1]
  523. [λ2]
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