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NumericalSchubertCalculus :: createRandomFlagsForSimpleSchubert

createRandomFlagsForSimpleSchubert -- Create a list of flags with random numbers to solve a simple Schubert problem

Synopsis

Description

Creates a list of d matrices with random numbers, where d = k*(n-k)-|m|-|l|.

i1 : createRandomFlagsForSimpleSchubert((3,7),{2,1,0},{1,1,0})

o1 = {| .892712+.673395i .461944+.775187i .127435+.254482i .830833+.538554i
      | .29398+.632944i  .909047+.314897i .741046+.108386i .873665+.415912i
      | .025888+.714827i .074184+.808694i .348931+.562428i .606588+.848005i
      | .89189+.231053i  .362835+.706096i .246268+.153346i .191734+.403215i
     ------------------------------------------------------------------------
     .615911+.014787i .276259+.605659i .064741+.877846i |, | .350611+.379495i
     .223028+.388829i .96518+.681683i  .034051+.507989i |  | .237252+.116721i
     .557119+.873708i .914199+.887381i .150294+.656391i |  | .444183+.644366i
     .7037+.681869i   .169813+.965004i .174853+.626892i |  | .194945+.518585i
     ------------------------------------------------------------------------
     .987173+.568273i .164647+.713493i .479826+.815167i  .592747+.831802i
     .184779+.370833i .909537+.566034i .97723+.059585i   .501243+.154289i
     .339222+.062212i .305423+.732358i .0645275+.283709i .467203+.765564i
     .465736+.40273i  .562839+.629991i .977573+.212436i  .305946+.53632i 
     ------------------------------------------------------------------------
     .205375+.276652i .280679+.475179i |, | .767433+.155346i 
     .095827+.605398i .130004+.522285i |  | .0215389+.283851i
     .883549+.942865i .171029+.340019i |  | .971588+.249992i 
     .0821679+.10394i .818142+.781168i |  | .0328338+.21113i 
     ------------------------------------------------------------------------
     .611415+.638389i   .919548+.560684i  .224737+.0041547i .905002+.502056i
     .0594513+.0625324i .847715+.763255i  .370963+.511938i  .888883+.077683i
     .270725+.075503i   .477291+.0048212i .806831+.532303i  .41855+.138169i 
     .581271+.640172i   .46452+.16645i    .572433+.269298i  .543508+.212989i
     ------------------------------------------------------------------------
     .35911+.751187i  .13359+.420228i   |, | .771746+.74002i 
     .252537+.10246i  .112527+.659052i  |  | .20217+.774737i 
     .543294+.659792i .649378+.564001i  |  | .556033+.91523i 
     .475683+.107149i .455949+.0047146i |  | .689783+.231832i
     ------------------------------------------------------------------------
     .0311856+.388518i  .762468+.455803i .429347+.288364i .633138+.262856i
     .0258757+.0288963i .299391+.77016i  .993594+.895324i .559948+.249212i
     .912808+.898905i   .885699+.761573i .34672+.363895i  .671836+.707257i
     .580909+.228196i   .42526+.403967i  .0770766+.30813i .042332+.839258i
     ------------------------------------------------------------------------
     .821811+.68646i   .172651+.533417i |, | .738044+.021548i
     .101507+.253324i  .021927+.817573i |  | .751374+.767024i
     .223416+.0263964i .168645+.358533i |  | .553621+.74003i 
     .531857+.356922i  .255456+.466765i |  | .545222+.958457i
     ------------------------------------------------------------------------
     .886882+.784812i .29683+.162247i   .662794+.955964i .902981+.699491i
     .829966+.270696i .908964+.231486i  .857587+.700559i .950513+.268203i
     .790306+.783351i .177182+.0736274i .645777+.266115i .727971+.974489i
     .831694+.729951i .412741+.318062i  .546574+.737588i .552613+.923333i
     ------------------------------------------------------------------------
     .338566+.371668i .876216+.03474i  |, | .085289+.94744i  .618225+.000493i
     .194274+.367762i .383529+.668305i |  | .36469+.395426i  .583571+.23464i 
     .229463+.673941i .825915+.024363i |  | .291768+.125756i .955533+.061678i
     .454915+.526677i .787048+.22992i  |  | .93745+.642482i  .201137+.823907i
     ------------------------------------------------------------------------
     .632404+.137876i .994115+.634695i .419231+.879559i .860055+.185538i
     .061413+.75256i  .627109+.655127i .274953+.636023i .146836+.782786i
     .736845+.527021i .250919+.620671i .527888+.169913i .768978+.111849i
     .489673+.539379i .161484+.76444i  .477017+.874867i .358147+.182331i
     ------------------------------------------------------------------------
     .37742+.316729i  |, | .254606+.359893i .536233+.382028i .54112+.982613i 
     .974992+.274991i |  | .996229+.625622i .775059+.086915i .324184+.594774i
     .387529+.654868i |  | .639382+.399067i .490975+.18596i  .107077+.927601i
     .128919+.551154i |  | .557777+.073866i .859153+.866835i .059331+.643623i
     ------------------------------------------------------------------------
     .148689+.709562i .034406+.823927i .687449+.662933i .24614+.0654916i |}
     .997263+.882281i .883518+.064314i .52583+.904444i  .490318+.175018i |
     .817619+.871902i .405694+.901341i .501535+.82173i  .779259+.637314i |
     .191779+.451686i .24893+.108551i  .136384+.356789i .137181+.872707i |

o1 : List

See also

Ways to use createRandomFlagsForSimpleSchubert :