{VERSION 5 0 "IBM INTEL NT" "5.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 1 12 255 0 0 1 2 1 2 2 1 2 0 0 0 1 }{CSTYLE "Text" -1 200 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 2 0 2 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT 200 3 "01." }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 366 "newtonliste:=proc(f,x,x0)\nlocal G,z,y,list; \nif type(x0,rational)\n then return 'procname(args)'; \nend if;\nG:= z->eval(z-subs(x=z,f/diff(f,x)));\ny:=x0;\nlist:=[x0];\nwhile y<>G(y) \+ do\n list:=[op(list),G(y)];\n y:=G(y);\nend do;\nlist;\nend proc:\n \nnewtonverfahren:=proc(f,x,x0)\nif type(x0,rational)\n then return ' procname(args)'; \nend if;\nnewtonliste(f,x,x0)[-1];\nend proc:" }}} {EXCHG {PARA 0 "" 0 "" {TEXT 200 3 "02." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "newtonverfahren(sin(x),x,3.);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 200 3 "03." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "f: =sin(x);\nnewtonliste(f,x,3.);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 200 3 "04." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "newtonverfahren(f,x ,3);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 200 3 "05." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 283 "fixedpointliste:=proc(f,x,x0,n)\nlocal G,z,y ,list;\nG:=z->eval(z-subs(x=z,f/diff(f,x)));\ny:=x0;\nlist:=[x0];\nwhi le y<>G(y) and nops(list) " 0 "" {MPLTEXT 1 0 32 "newtonv erfahren(x-exp(-x),x,0.);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 200 3 "07. " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "sol:=solve(x-exp(-x),x) ;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 200 3 "08." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "evalf(sol);" }}}}{MARK "1 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }