path: root/scilab_doc/neldermead/macros.tex

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%% R for real numbers
\usepackage{amssymb}

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%% Figure reference
\newcommand{\figref}[1]{figure~\ref{#1}}

%% Equation reference
\newcommand{\Ref}[1]{(\ref{#1})}

%% Emphasize a word or a group of words
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%% Derivation operators
\newcommand{\D}{\partial}
\newcommand{\Dt}{\partial_t}
\newcommand{\Dx}{\partial_x}
\newcommand{\Dy}{\partial_y}

\newcommand{\bd}{\mathbf{d}}
\newcommand{\bl}{\mathbf{l}}
\newcommand{\br}{\mathbf{r}}
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\newcommand{\bH}{\mathbf{H}}
\newcommand{\bv}{\mathbf{v}}
\newcommand{\bx}{\mathbf{x}}
\newcommand{\by}{\mathbf{y}}

\usepackage{url}

% Scilab macros
\newcommand{\scifunction}[1]{\textit{#1}}
\newcommand{\scivar}[1]{\textit{#1}}

% To highlight source code
\usepackage{listings}

\lstdefinelanguage{scilabscript}%
  {morekeywords={abcd,abinv,abort,abs,acoshm,acosh,acosm,acos,addcolor,%
      addf,addinter,addmenu,add_edge,add_node,adj2sp,adj_lists,aff2ab,%
      amell,analpf,analyze,ans,apropos,arc_graph,arc_number,argn,arhnk,%
      arl2,arma2p,armac,armax1,armax,arma,arsimul,artest,articul,ascii,%
      asinhm,asinh,asinm,asin,atanhm,atanh,atanm,atan,augment,auread,%
      auwrite,balanc,balreal,bandwr,basename,bdiag,besseli,besselj,%
      besselk,bessely,best_match,bezout,bifish,bilin,binomial,black,%
      bloc2exp,bloc2ss,bode,bool2s,boolean,boucle,break,bstap,buttmag,%
      bvode,cainv,calerf,calfrq,call,canon,casc,case,ccontrg,cdfbet,%
      cdfbin,cdfchi,cdfchn,cdffnc,cdff,cdfgam,cdfnbn,cdfnor,cdfpoi,%
      cdft,ceil,center,cepstrum,chaintest,chain_struct,champ1,champ,%
      chart,chdir,cheb1mag,cheb2mag,check_graph,check_io,chepol,chfact,%
      chol,chsolve,circuit,classmarkov,clean,clearfun,clearglobal,%
      clear,close,cls2dls,cmb_lin,cmndred,cmoment,code2str,coeff,coffg,%
      coff,colcompr,colcomp,colinout,colormap,colregul,companion,comp,%
      cond,conj,connex,contour2di,contour2d,contourf,contour,%
      contract_edge,contrss,contr,cont_frm,cont_mat,convex_hull,convol,%
      convstr,con_nodes,copfac,copy,correl,corr,coshm,cosh,cosm,cos,%
      cotg,cothm,coth,covar,csim,cspect,ctr_gram,cumprod,cumsum,%
      curblock,cycle_basis,czt,c_link,dasrt,dassl,datafit,date,dbphi,%
      dcf,ddp,debug,dec2hex,deff,definedfields,degree,delbpt,%
      delete_arcs,delete_nodes,delete,delip,delmenu,demos,denom,%
      derivative,derivat,des2ss,des2tf,determ,detr,det,dft,dhinf,%
      dhnorm,diag,diary,diff,diophant,dirname,dispbpt,dispfiles,disp,%
      dlgamma,double,dragrect,drawaxis,drawlater,drawnow,draw,driver,%
      dscr,dsearch,dsimul,dtsi,dt_ility,duplicate,edge_number,%
      edit_curv,edit_graph_menus,edit_graph,edit,eigenmarkov,ell1mag,%
      elseif,else,emptystr,endfunction,end,eqfir,eqiir,equil1,equil,%
      ereduc,erfcx,erfc,erf,errbar,errcatch,errclear,error,eval3dp,%
      eval3d,eval,evans,evstr,excel2sci,execstr,exec,exists,exit,expm,%
      exp,external,eye,fac3d,factors,faurre,fchamp,fcontour2d,fcontour,%
      fec,feedback,feval,ffilt,fftshift,fft,fgrayplot,figure,fileinfo,%
      file,filter,findm,findobj,findx0BD,find_freq,find_path,find,%
      findABCD,findAC,findBD,findBDK,findR,fit_dat,fix,floor,flts,foo,%
      formatman,format,fort,for,fourplan,fplot2d,fplot3d1,fplot3d,%
      fprintf,fprintfMat,frep2tf,freq,freson,frexp,frfit,frmag,fscanf,%
      fscanfMat,fsfirlin,fsolve,fspecg,fstabst,fstair,ftest,ftuneq,%
      fullrfk,fullrf,full,fun2string,funcprot,functions,function,%
      funptr,fusee,gainplot,gamitg,gammaln,gamma,gcare,gcd,gcf,%
      genfac3d,genlib,genmarkov,gen_net,geom3d,geomean,getblocklabel,%
      getcolor,getcurblock,getcwd,getdate,getd,getenv,getfield,getfont,%
      getf,getio,getlinestyle,getmark,getpid,getscicosvars,getsymbol,%
      getvalue,getversion,get_function_path,get,gfare,gfrancis,girth,%
      givens,glever,glist,global,glue,gpeche,graduate,grand,%
      graphics_entities,graph_2_mat,graph_center,graph_complement,%
      graph_diameter,graph_power,graph_simp,graph_sum,graph_union,%
      graph-list,graycolormap,grayplot,graypolarplot,grep,group,%
      gr_menu,gschur,gsort,gspec,gstacksize,gtild,g_margin,h2norm,halt,%
      hamilton,hankelsv,hank,harmean,havewindow,help,hermit,hess,%
      hex2dec,hilb,hinf,hist3d,histplot,horner,host,hotcolormap,%
      householder,hrmt,htrianr,hypermat,h_cl,h_inf_st,h_inf,h_norm,%
      iconvert,icon_edit,ieee,if,iirgroup,iirlp,iir,ilib_build,%
      ilib_compile,ilib_for_link,ilib_gen_gateway,ilib_gen_loader,%
      ilib_gen_Make,imag,impl,imrep2ss,imult,im_inv,inistate,input,%
      int16,int2d,int32,int3d,int8,intc,intdec,integrate,interpln,%
      interp,intersci,intersect,intg,intl,intppty,intsplin,inttrap,%
      inttype,int,invr,invsyslin,inv_coeff,inv,iqr,isdef,isdir,isequal,%
      iserror,isglobal,isinf,isnan,isoview,isreal,is_connex,jmat,%
      justify,kalm,karmarkar,kernel,keyboard,knapsack,kpure,krac2,%
      kroneck,kron,lasterror,lattn,lattp,lcf,lcmdiag,lcm,ldivf,ldiv,%
      leastsq,legends,length,leqr,levin,lev,lex_sort,lft,lgfft,library,%
      lib,lin2mu,lincos,lindquist,lines,line_graph,linfn,linf,link,%
      linmeq,linpro,linsolve,linspace,lin,listfiles,list,lmisolver,%
      lmitool,loadmatfile,loadplots,loadwave,load_graph,load,locate,%
      log10,log1p,log2,logm,logspace,log,lotest,lqe,lqg2stan,lqg_ltr,%
      lqg,lqr,lsq,lsslist,lstcat,lstsize,ltitr,ludel,lufact,luget,%
      lusolve,lu,lyap,macglov,macr2lst,macrovar,macro,mad,make_graph,%
      make_index,manedit,man,mapsound,markp2ss,matfile2sci,matrix,%
      mat_2_graph,maxi,max_cap_path,max_clique,max_flow,max,mclearerr,%
      mclose,meanf,mean,median,meof,mese,mesh2d,mfft,mfile2sci,mgeti,%
      mgetl,mgetstr,mget,milk_drop,mine,mini,minreal,minss,%
      min_lcost_cflow,min_lcost_flow1,min_lcost_flow2,min_qcost_flow,%
      min_weight_tree,min,mlist,mode,modulo,moment,mopen,move,%
      mps2linpro,mputl,mputstr,mput,mrfit,msd,mseek,mtell,mtlb_load,%
      mtlb_mode,mtlb_save,mtlb_sparse,mu2lin,mulf,mvvacov,m_circle,%
      names,nand2mean,nanmax,nanmeanf,nanmean,nanmedian,nanmin,%
      nanstdev,nansum,narsimul,ndims,nearfloat,nehari,neighbors,%
      netclose,netwindows,netwindow,newest,newfun,nextpow2,nf3d,nfreq,%
      nlev,nnz,nodes_2_path,nodes_degrees,node_number,noisegen,norm,%
      null,numdiff,numer,nyquist,obscont1,obscont,observer,obsvss,%
      obsv_mat,obs_gram,odedc,odedi,odeoptions,ode_discrete,ode_root,%
      ode,oldload,oldsave,ones,optim,orth,param3d1,param3d,%
      paramfplot2d,parrot,part,pathconvert,path_2_nodes,pause,pbig,%
      pdiv,pen2ea,pencan,penlaur,perctl,perfect_match,pertrans,pfss,%
      phasemag,phc,pinv,pipe_network,playsnd,plot2d1,plot2d2,plot2d3,%
      plot2d4,plot2d,plot3d1,plot3d2,plot3d3,plot3d,plotframe,%
      plotprofile,plot_graph,plot,plzr,pmodulo,pol2des,pol2str,pol2tex,%
      polarplot,polar,polfact,poly,portr3d,portrait,power,ppol,prbs_a,%
      predecessors,predef,printf,printing,print,prod,profile,projsl,%
      projspec,proj,psmall,pspect,pvm_addhosts,pvm_barrier,pvm_bcast,%
      pvm_bufinfo,pvm_config,pvm_delhosts,pvm_error,pvm_exit,%
      pvm_f772sci,pvm_getinst,pvm_gettid,pvm_get_timer,pvm_gsize,%
      pvm_halt,pvm_joingroup,pvm_kill,pvm_lvgroup,pvm_mytid,pvm_parent,%
      pvm_probe,pvm_recv,pvm_reduce,pvm_sci2f77,pvm_send,pvm_set_timer,%
      pvm_spawn_independent,pvm_spawn,pvm_start,pvm_tasks,%
      pvm_tidtohost,pvm,pwd,p_margin,qassign,qr,quapro,quart,quaskro,%
      quit,randpencil,rand,range,rankqr,rank,rat,rcond,rdivf,read4b,%
      readb,readc_,readmps,read,real,recur,reglin,regress,remezb,remez,%
      repfreq,replot,residu,resume,return,riccati,riccsl,ricc,ric_desc,%
      rlist,roots,rotate,round,routh_t,rowcompr,rowcomp,rowinout,%
      rowregul,rowshuff,rpem,rref,rtitr,rubberbox,salesman,savewave,%
      save_graph,save,scaling,scanf,schur,sci2exp,sci2for,sci2map,%
      sciargs,scicosim,scicos,scifunc_block,sd2sci,secto3d,select,%
      semidef,sensi,setbpt,seteventhandler,setfield,setmenu,%
      setscicosvars,set,sfact,sgrid,shortest_path,showprofile,%
      show_arcs,show_graph,show_nodes,sident,signm,sign,simp_mode,simp,%
      sincd,sinc,sinc,sinhm,sinh,sinm,sin,size,sm2des,sm2ss,smooth,%
      solve,sorder,sort,sound,sp2adj,spaninter,spanplus,spantwo,sparse,%
      spchol,spcompack,specfact,spec,speye,spget,splin,split_edge,%
      spones,sprand,sprintf,spzeros,sqroot,sqrtm,sqrt,squarewave,%
      square,srfaur,srkf,ss2des,ss2ss,ss2tf,sscanf,sskf,ssprint,ssrand,%
      stabil,stacksize,standard_define,standard_draw,standard_input,%
      standard_origin,standard_output,startup,stdevf,stdev,steadycos,%
      str2code,strange,strcat,strindex,strings,string,stripblanks,%
      strong_connex,strong_con_nodes,strsubst,st_deviation,st_ility,%
      subf,subgraph,subplot,successors,sum,supernode,sva,svd,svplot,%
      sylm,sylv,sysconv,sysdiag,sysfact,syslin,syssize,systems,system,%
      systmat,tabul,tangent,tanhm,tanh,tanm,tan,tdinit,testmatrix,%
      texprint,tf2des,tf2ss,then,thrownan,timer,time_id,titlepage,%
      tk_getdir,tk_getfile,tlist,toeplitz,tokenpos,tokens,trace,%
      translatepaths,trans_closure,trans,trfmod,trianfml,tril,trimmean,%
      trisolve,triu,trzeros,typename,typeof,type,uicontrol,uimenu,%
      uint16,uint32,uint8,ui_observer,ulink,unglue,union,unique,unix_g,%
      unix_s,unix_w,unix_x,unix,unobs,unsetmenu,user,varargin,%
      varargout,variancef,variance,varn,warning,wavread,wavwrite,%
      wcenter,wfir,what,whereami,whereis,where,while,whos,who_user,who,%
      wiener,wigner,window,winsid,with_gtk,with_pvm,with_texmacs,%
      with_tk,writb,write4b,write,xarcs,xarc,xarrows,xaxis,xbasc,%
      xbasimp,xbasr,xchange,xclear,xclea,xclick,xclip,xdel,xend,xfarcs,%
      xfarc,xfpolys,xfpoly,xfrect,xgetech,xgetfile,xgetmouse,xget,%
      xgraduate,xgrid,xinfo,xinit,xlfont,xload,xname,xnumb,xpause,%
      xpolys,xpoly,xrects,xrect,xrpoly,xs2fig,xs2gif,xs2ppm,xs2ps,%
      xsave,xsegs,select,xsetech,xsetm,xset,xstringb,xstringl,xstring,%
      xtape,xtitle,x_choices,x_choose,x_dialog,x_matrix,x_mdialog,%
      x_message_modeless,x_message,yulewalk,zeropen,zeros,zgrid,zpbutt,%
      zpch1,zpch2,zpell,mfprintf,mfscanf,mprintf,mscanf,msprintf,%
      msscanf,mucomp,%
      ABSBLK_f,AFFICH_f,ANDLOG_f,ANIMXY_f,BIGSOM_f,CLINDUMMY_f,CLKIN_f,%
      CLKINV_f,CLKOUT_f,CLKOUTV_f,CLKSOM_f,CLKSOMV_f,CLKSPLIT_f,%
      CLOCK_f,CLR_f,CLSS_f,CONST_f,COSBLK_f,CURV_f,DELAY_f,DELAYV_f,%
      DEMUX_f,DLR_f,DLRADAPT_f,DLSS_f,EVENTSCOPE_f,EVTDLY_f,EVTGEN_f,%
      EXPBLK_f,G_make,GAIN_f,GAINBLK_f,GENERAL_f,GENERIC_f,GENSIN_f,%
      GENSQR_f,HALT_f,IFTHEL_f,IN_f,INTEGRAL_f,INTRP2BLK_f,INTRPLBLK_f,%
      INVBLK_f,LOGBLK_f,LOOKUP_f,Matplot1,Matplot,MAX_f,MCLOCK_f,%
      MFCLCK_f,MIN_f,MUX_f,NDcost,NEGTOPOS_f,OUT_f,POSTONEG_f,POWBLK_f,%
      PROD_f,QUANT_f,RAND_f,READC_f,REGISTER_f,RELAY_f,RFILE_f,%
      ScilabEval,Sfgrayplot,Sgrayplot,SAMPLEHOLD_f,SAT_f,SAWTOOTH_f,%
      SCOPE_f,SCOPXY_f,SELECT_f,SINBLK_f,SOM_f,SPLIT_f,STOP_f,SUPER_f,%
      TANBLK_f,TCLSS_f,TEXT_f,TIME_f,TK_EvalFile,TK_EvalStr,TK_GetVar,%
      TK_SetVar,TRASH_f,WFILE_f,WRITEC_f,ZCROSS_f,%
      \%asn,\%helps,\%k,\%sn},%
   alsoletter=\%,% chmod
   sensitive,%
   morecomment=[l]//,%
   morestring=[b]",%
   morestring=[m]'%
   numbers=none,%
   basicstyle=\tiny,%
   keywordstyle=\bfseries,%
   commentstyle=\bfseries,%
   showspaces=false,%
   stringstyle=\bfseries
  }[keywords,comments,strings]%

\lstdefinelanguage{matlabscript}%
  {morekeywords={gt,lt,gt,lt,amp,abs,acos,acosh,acot,acoth,acsc,acsch,%
      all,angle,ans,any,asec,asech,asin,asinh,atan,atan2,atanh,auread,%
      auwrite,axes,axis,balance,bar,bessel,besselk,bessely,beta,%
      betainc,betaln,blanks,bone,break,brighten,capture,cart2pol,%
      cart2sph,caxis,cd,cdf2rdf,cedit,ceil,chol,cla,clabel,clc,clear,%
      clf,clock,close,colmmd,Colon,colorbar,colormap,ColorSpec,colperm,%
      comet,comet3,compan,compass,computer,cond,condest,conj,contour,%
      contour3,contourc,contrast,conv,conv2,cool,copper,corrcoef,cos,%
      cosh,cot,coth,cov,cplxpair,cputime,cross,csc,csch,csvread,%
      csvwrite,cumprod,cumsum,cylinder,date,dbclear,dbcont,dbdown,%
      dbquit,dbstack,dbstatus,dbstep,dbstop,dbtype,dbup,ddeadv,ddeexec,%
      ddeinit,ddepoke,ddereq,ddeterm,ddeunadv,deblank,dec2hex,deconv,%
      del2,delete,demo,det,diag,diary,diff,diffuse,dir,disp,dlmread,%
      dlmwrite,dmperm,dot,drawnow,echo,eig,ellipj,ellipke,else,elseif,%
      end,engClose,engEvalString,engGetFull,engGetMatrix,engOpen,%
      engOutputBuffer,engPutFull,engPutMatrix,engSetEvalCallback,%
      engSetEvalTimeout,engWinInit,eps,erf,erfc,erfcx,erfinv,error,%
      errorbar,etime,etree,eval,exist,exp,expint,expm,expo,eye,fclose,%
      feather,feof,ferror,feval,fft,fft2,fftshift,fgetl,fgets,figure,%
      fill,fill3,filter,filter2,find,findstr,finite,fix,flag,fliplr,%
      flipud,floor,flops,fmin,fmins,fopen,for,format,fplot,fprintf,%
      fread,frewind,fscanf,fseek,ftell,full,function,funm,fwrite,fzero,%
      gallery,gamma,gammainc,gammaln,gca,gcd,gcf,gco,get,getenv,%
      getframe,ginput,global,gplot,gradient,gray,graymon,grid,griddata,%
      gtext,hadamard,hankel,help,hess,hex2dec,hex2num,hidden,hilb,hist,%
      hold,home,hostid,hot,hsv,hsv2rgb,if,ifft,ifft2,imag,image,%
      imagesc,Inf,info,input,int2str,interp1,interp2,interpft,inv,%
      invhilb,isempty,isglobal,ishold,isieee,isinf,isletter,isnan,%
      isreal,isspace,issparse,isstr,jet,keyboard,kron,lasterr,lcm,%
      legend,legendre,length,lin2mu,line,linspace,load,log,log10,log2,%
      loglog,logm,logspace,lookfor,lower,ls,lscov,lu,magic,matClose,%
      matDeleteMatrix,matGetDir,matGetFp,matGetFull,matGetMatrix,%
      matGetNextMatrix,matGetString,matlabrc,matlabroot,matOpen,%
      matPutFull,matPutMatrix,matPutString,max,mean,median,menu,mesh,%
      meshc,meshgrid,meshz,mexAtExit,mexCallMATLAB,mexdebug,%
      mexErrMsgTxt,mexEvalString,mexFunction,mexGetFull,mexGetMatrix,%
      mexGetMatrixPtr,mexPrintf,mexPutFull,mexPutMatrix,mexSetTrapFlag,%
      min,more,movie,moviein,mu2lin,mxCalloc,mxCopyCharacterToPtr,%
      mxCopyComplex16ToPtr,mxCopyInteger4ToPtr,mxCopyPtrToCharacter,%
      mxCopyPtrToComplex16,mxCopyPtrToInteger4,mxCopyPtrToReal8,%
      mxCopyReal8ToPtr,mxCreateFull,mxCreateSparse,mxCreateString,%
      mxFree,mxFreeMatrix,mxGetIr,mxGetJc,mxGetM,mxGetN,mxGetName,%
      mxGetNzmax,mxGetPi,mxGetPr,mxGetScalar,mxGetString,mxIsComplex,%
      mxIsFull,mxIsNumeric,mxIsSparse,mxIsString,mxIsTypeDouble,%
      mxSetIr,mxSetJc,mxSetM,mxSetN,mxSetName,mxSetNzmax,mxSetPi,%
      mxSetPr,NaN,nargchk,nargin,nargout,newplot,nextpow2,nnls,nnz,%
      nonzeros,norm,normest,null,num2str,nzmax,ode23,ode45,orient,orth,%
      pack,pascal,patch,path,pause,pcolor,pi,pink,pinv,plot,plot3,%
      pol2cart,polar,poly,polyder,polyeig,polyfit,polyval,polyvalm,%
      pow2,print,printopt,prism,prod,pwd,qr,qrdelete,qrinsert,quad,%
      quad8,quit,quiver,qz,rand,randn,randperm,rank,rat,rats,rbbox,%
      rcond,real,realmax,realmin,refresh,rem,reset,reshape,residue,%
      return,rgb2hsv,rgbplot,rootobject,roots,rose,rosser,rot90,rotate,%
      round,rref,rrefmovie,rsf2csf,save,saxis,schur,sec,sech,semilogx,%
      semilogy,set,setstr,shading,sign,sin,sinh,size,slice,sort,sound,%
      spalloc,sparse,spaugment,spconvert,spdiags,specular,speye,spfun,%
      sph2cart,sphere,spinmap,spline,spones,spparms,sprandn,sprandsym,%
      sprank,sprintf,spy,sqrt,sqrtm,sscanf,stairs,startup,std,stem,%
      str2mat,str2num,strcmp,strings,strrep,strtok,subplot,subscribe,%
      subspace,sum,surf,surface,surfc,surfl,surfnorm,svd,symbfact,%
      symmmd,symrcm,tan,tanh,tempdir,tempname,terminal,text,tic,title,%
      toc,toeplitz,trace,trapz,tril,triu,type,uicontrol,uigetfile,%
      uimenu,uiputfile,unix,unwrap,upper,vander,ver,version,view,%
      viewmtx,waitforbuttonpress,waterfall,wavread,wavwrite,what,%
      whatsnew,which,while,white,whitebg,who,whos,wilkinson,wk1read,%
      wk1write,xlabel,xor,ylabel,zeros,zlabel,zoom},%
   sensitive,%
   morecomment=[l]\%,%
   basicstyle=\tiny,%
   morestring=[m]'%
  }[keywords,comments,strings]%

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% To allow one bibliograph by chapter
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\usepackage{url}

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\newtheorem{corollary}[theorem]{Corollary}
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%\newtheorem{example}[theorem]{Example}
\newtheorem{definition}[theorem]{Definition}
\newtheorem{remark}[theorem]{Remark}
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