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Description: BADNELL & BURGESS D.A.M.T.P. CAMBRIDGE
C DIAGONALIZATION OF REAL SYMMETRIC N-BY-N MATRIX Z.
C METHOD: HOUSEHOLDER REDUCTION TO TRI-DIAGONAL FORM AND SHIFTED
C QL ALGORITHM TO DETERMINE THE E-VALUES AND E-VECTORS.
C BASED ON MARTIN, REINSCH & WILKINSON: NUM. MATH. 11, 181-95 (1968).
C
C INPUT REQUIRED. N, IUP AND Z. ONLY LOWER TRIANGLE OF Z NEED BE SUPPLIED.
C MATRIX Z OVERWRITTEN BY EIGENVECTORS OF Z.
C IUP=1/-1 ASC/DESCENDING SORT, 0 NO SORT.
C MXMAT, IS THE ROW DIMENSION OF Z IN THE CALLING ROUTINE.
C
C OUTPUT. Z AND D, WHERE Z CONSISTS OF COLUMN EIGENVECTORS
C AND D CONSISTS OF CORRESPONDING EIGENVALUES.
C
C NOTE: E IS A WORKING ARRAY.
C
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