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RE: NSolve problem

  • To: mathgroup at smc.vnet.net
  • Subject: [mg27554] RE: [mg27541] NSolve problem
  • From: "David Park" <djmp at earthlink.net>
  • Date: Wed, 7 Mar 2001 04:07:50 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Aguirre,

On a Windows 98 Dell computer with Mathematica 4.0.2 I had no trouble in
solving your polynomial. The solutions were:

{{x ->
0.091708830141284216611300718350396795152370833056116265683402868621795\
46896307802}, {x ->

0.1104974690580543250922878414349811254697083774888891658465583347707092\
30}, {x ->

0.1105873420815579159995328338868055252716697659842441890265678531578872\
35}, {x ->

0.1159375392511005425478579669711638407940307238246993243322889252205933\
88}, {x ->

0.123658345565915838882528980561550068808994564187913904898806838636718}\
, {x ->
0.129326553721720721248783637453913948577991370403928172006855569161},\
 {x ->
0.129623393195697346640233877089761576169696424769835174081807174255}, \
{x ->
0.1319667912920863654946736529791709423165730551804643208810547357829}, \
{x ->
0.1349687561339760011415625824217797755198958501524744191150730072123}, \
{x -> 0.142384485487523867593566983056838914299871146144554121275026301776},
\
{x -> 0.1591488884297858351890899390010384622793155323137242120834761},
{x ->
      0.1596270242656464072390128372467787277694725151064140292744830},
{x ->
      0.1616669986222406018912684005022785889671726489974268269159476},
{x ->
      0.1642923491156219948983264159104067014963135043760329073622573},
{x ->
      0.1679520059708008201189476129212942363980844497583947725936570},
{x ->
      0.1700607268720234869570474382706635085678102375703376102448873032 -
        0.0127121635410859603621140261609669867746961410456332521433992203 \
\[ImaginaryI]}, {x ->
      0.1700607268720234869570474382706635085678102375703376102448873032 +
        0.0127121635410859603621140261609669867746961410456332521433992203 \
\[ImaginaryI]}, {x ->
      0.174522637519047952742067171873188120212328388618696577820438}, {x ->
      0.175724781473059162723625947464718509615370710078136700891261}, {x ->
      0.1821305353499069788049749447654155834590815568378353123055423},
{x ->
      0.1846699939499798887219918575211699252713014537163108078429498},
{x ->
      0.212760625910267827933019807598815566783115365752333599454}, {x ->
      0.21537310309524351142037540253215258801367746187223568216}, {x ->
      0.2166728977840303170889085974503044468603570900672517240}, {x ->
      0.218134669252899425515235472846711449870423223808744965}, {x ->
      0.218432999257994517601973508971288468999765437302358359}, {x ->
      0.221397543575867081300757304697279582709235111224076480}, {x ->
      0.222803049459892930422407807122551972563502316689116433}, {x ->
      0.223217215375501347757234838823699051224691685835274774}, {x ->
      0.2243384909093964683977098367569960850405519238113868235}, {x ->
      0.23212735298821436533010457598462851090044239361184778508}, {x ->
      0.23319636836963566148492411790561878017889342439348106089}, {x ->
      0.23430503325155556652744849090354500080671695911346001622}, {x ->
      0.23733780822830728794001050798009697000775878772805882467}, {x ->
      0.23926541383484237396254350146980356110379440428151507711}, {x ->
      0.24092912706687184865726219380650148225178027040111119051}, {x ->
      0.24126372057825007032948956559413007937863252059693772496}, {x ->
      0.242060866936104169249726624956376481952667471059117766820}, {x ->
      0.242407961832379117068479421985280744433089303706552712753}}

David Park
djmp at earthlink.net
http://home.earthlink.net/~djmp/

> From: AGUIRRE ESTIBALEZ Julian [mailto:mtpagesj at lg.ehu.es]
To: mathgroup at smc.vnet.net
>
> Dear Group,
>
> The following computation involving finding the roots of a fairly
> "large" polynomial produces these effects on an iMac and a G4 running
> version 4.0.1.0
>
> * The kernel quits inmediatly
> * The Finder announces a type 2 or type 3 error
> * The computer hangs when quitting the frontend or restarting
>
> Before finding this problem, I have succefully solved thousands of similar
> equations. It is only this particular polynomial that produces this
> behaviour.
>
> poly =
> -379610373 +
> 86108525122 x -
> 9494410812843 x^2 +
> 678033800618890 x^3 -
> 35256637347077513 x^4 +
> 1422785868781829532 x^5 -
> 46379987523224586918 x^6 +
> 1255110040775305672800 x^7 -
> 28757943661703317295081 x^8 +
> 566216540434141788242036 x^9 -
> 9689635918166905495882851 x^10 +
> 145419622102662664506687100 x^11 -
> 1927635748101251322270468277 x^12 +
> 22698320261526730755198553574 x^13 -
> 238516616444064255358326013794 x^14 +
> 2244844544457248209076495840902 x^15 -
> 18977700242148569406030260324295 x^16 +
> 144425378677250071307785407099514 x^17 -
> 991008485501837267612722683739742 x^18 +
> 6137577944863948353668001351379085 x^19 -
> 34326439784958730341338590620522553 x^20 +
> 173372427244970231511243462159022530 x^21 -
> 790386259690389861011499411484727356 x^22 +
> 3249150512801263497674821800877444750 x^23 -
> 12025273387738045949766927419057733779 x^24 +
> 39983125143255083338516711567117321554 x^25 -
> 119092149085329990604796332906238009003 x^26 +
> 316623088476789267411001214031813664920 x^27 -
> 747964023676923486311300650584136934167 x^28 +
> 1561105298212051506376403179694366814908 x^29 -
> 2858356540987341736071315091852197268914 x^30 +
> 4550488627005201158356170201262005359426 x^31 -
> 6227602171254861022800069187941498698916 x^32 +
> 7219321171308545919834020175759542752800 x^33 -
> 6950806520792700621314978752272893634603 x^34 +
> 5408604513390527799203743488644413596831 x^35 -
> 3267975175700805824009526616434042764990 x^36 +
> 1438562129094179414396635651311443079894 x^37 -
> 410398690910611254706353259635396975000 x^38 +
> 56948086997945333979944420780869994640 x^39;
>
> NSolve[poly==0,x,100]
>
>
> Julian Aguirre			| Voice:  +34 946012659
> Departamento de Matematicas	| Fax:    +34 944648500
> Universidad del Pais Vasco	| Postal: Aptdo. 644, 48080 Bilbao, Spain
> 				| email:  mtpagesj at lg.ehu.es
>
>
>



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