Zeichensatz UTF-8+Z1013()+CTRL()-ohne Umlaute(äöüß) 10 CLS:PRINT:PRINT 20 ABW=0 30 E1=1E-5 40 INPUT "Anzahl der Messwerte:";M 50 PRINT:PRINT 60 INPUT "gewuenschter Polynomgrad:";N 70 N=N+1 72 IF M<N THEN PRINT:PRINT "unterbestimmtes System!":BEEP:PAUSE(50):RUN 10 80 PRINT:PRINT 90 DIM A(M,M),F(M) 100 PRINT "Eingabe der Messwerte:":PRINT:PRINT 110 FOR I=1 TO M 120 PRINT "X(";I;")="; 130 INPUT A(I,2) 140 PRINT "Y(";I;")="; 150 INPUT F(I) 160 PRINT 170 A(I,1)=1 180 FOR K=3 TO N 190 A(I,K)=A(I,K-1)*A(I,2) 200 NEXT K 210 NEXT I 220 DIM Z(M) 230 DIM B(M),C(M),D(M),S(M,M-1) 240 DIM U(M),V(M,M),W(M,M) 250 GOSUB 390 260 IF NOT (P1=0) THEN 300 270 PRINT "SPALTENVEKTOREN" 280 PRINT "SIND LIN ABHAENGIG" 290 STOP 300 PRINT "LOESUNGSVEKTOR" 310 PRINT " " 320 FOR J=1 TO N 330 PRINT " " 340 PRINT "X^";J-1 ; "=" Z(J) 350 PRINT " " 360 NEXT J 370 INPUT "Wertevergleich->{ENT.}";TR 380 GOTO 1110 390 FOR I=1 TO M 400 V(I,1)=A(I,1) 410 NEXT I 420 FOR I=1 TO M 430 B(I) =V(I,1) 440 NEXT I 450 GOSUB 1000 460 U(1) = R 470 IF NOT (R <= E1) THEN 500 480 P1 = 0 490 RETURN 500 FOR I=1 TO M 510 W(I,1)=V(I,1)/R 520 NEXT I 530 FOR J=2 TO N 540 FOR I=1 TO M 550 V(I,J)=A(I,J) 560 NEXT I 570 FOR K=1 TO J-1 580 FOR I=1 TO M 590 C(I)=A(I,J) 600 D(I)=W(I,K) 610 NEXT I 620 GOSUB 1060 630 S(J,K)=P 640 FOR I=1 TO M 650 V(I,J)=V(I,J)-P*W(I,K) 660 NEXT I 670 NEXT K 680 FOR I=1 TO M 690 B(I)=V(I,J) 700 NEXT I 710 GOSUB 1000 720 U(J)=R 730 IF NOT (R <= E1) THEN 760 740 P1=0 750 RETURN 760 FOR I=1 TO M 770 W(I,J)=V(I,J)/R 780 NEXT I 790 NEXT J 800 P1=1 810 FOR I=1 TO M 820 C(I)=F(I) 830 D(I)=W(I,N) 840 NEXT I 850 GOSUB 1060 860 Z(N)=P/U(N) 870 FOR J=N-1 TO 1 STEP -1 880 FOR I=1 TO M 890 C(I)=F(I) 900 D(I)=W(I,J) 910 NEXT I 920 GOSUB 1060 930 Z(J)=P 940 FOR K= J+1 TO N 950 Z(J)=Z(J)-Z(K)*S(K,J) 960 NEXT K 970 Z(J)=Z(J)/U(J) 980 NEXT J 990 RETURN 1000 R=0 1010 FOR I=1 TO M 1020 R=R+B(I)*B(I) 1030 NEXT I 1040 R=SQR (R) 1050 RETURN 1060 P=0 1070 FOR I=1 TO M 1080 P=P+C(I)*D(I) 1090 NEXT I 1100 RETURN 1110 PRINT:PRINT " X"," Y";TAB(23);"Y*" 1120 PRINT 1130 FOR I=1 TO M 1140 Y=0 1150 FOR J=N TO 1 STEP -1 1160 Y=Y*A(I,2)+Z(J) 1170 Y=INT(Y*1000+.5)/1000 1180 NEXT J 1190 PRINT A(I,2),F(I);TAB(22);Y 1200 ABW=ABW+ABS(F(I)-Y) 1210 PRINT 1220 NEXT I 1230 PRINT "max.Fehler:";ABW 1240 PRINT 1250 PRINT:INPUT "neuer Polynomgrad=";N 1260 N=N+1 1270 FOR I=1 TO M 1280 FOR K=3 TO N 1290 A(I,K)=A(I,K-1)*A(I,2) 1300 NEXT K 1310 NEXT I 1320 CLS 1330 ABW=0 1340 GOTO 250