Trailing-Edge
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PDP-10 Archives
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decus_20tap1_198111
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decus/20-0020/invhil.alg
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1000' NAME--INVHIL
1010'
1020' DESCRIPTION--A SUBROUTINE WHICH PRODUCES THE INVERSE OF A FINITE
1030' SEGMENT OF THE HILBERT MATRIX.
1040'
1050' SOURCE--UNKNOWN
1060'
1070' INSTRUCTIONS--CALL AS NORMAL SUBROUTINE USING A "GOSUB"
1080' STATEMENT. THE VARIABLES USED ARE N,I,J,K,W, AND THE MATRIX
1090' S. N IS THE SIZE OF THE MATRIX.
1100'
1110'
1120' * * * * * * * * MAIN PROGRAM * * * * * * * * * *
1130'
1140 DIM S(15,15)
1150 LET W = N^2
1160 LET S(1,1) = W
1170 FOR I = 2 TO N
1180 LET W = W * ((N+I-1)*(N-I+1)/(I-1)^2)^2
1190 LET S(I,I) = W
1200 NEXT I
1210 FOR I = 1 TO N-1
1220 FOR J = I+1 TO N
1230 LET K = J-1
1240 LET S(I,J) = -S(I,K)*(N+K)*(N-K)/K^2
1250 NEXT J
1260 NEXT I
1270 FOR I = 2 TO N
1280 FOR J = 1 TO I
1290 LET S(J,I) = S(J,I)/(I+J-1)
1300 LET S(I,J) = S(J,I)
1310 NEXT J
1320 NEXT I
1330 RETURN