COMPLEX NUMBERS FOR BLOCK ADJUSTMENT

CONTRARY TO OTHER DISCIPLINES (E.G., ELECTRICAL ENGINEERING, PHYSICS) TWO-DIMENSIONAL PROBLEMS IN SURVEYING, GEODESY, OR PHOTOGRAMMETRY HAVE RARELY BEEN SOLVED BY MEANS OF CONSISTENT USE OF COMPLEX NUMBERS. FROM THE THEORETICAL POINT OF VIEW COMPLEX NUMBJERS. FROM THE THEORETICAL POINT OF VIEW COMPLEX NUMBERS GIVE AN EASIER AND BETTER INSIGHT IN THE PROBLEM STRUCTURE, THE NUMBER OF MATHEMATICAL EXPRESSIONS USUALLY BEING REDUCED BY AT LEAST 50 PERCENT. FROM THE PRACTICAL POINT OF VIEW THIS TOPIC IS WORTH CONSIDERING, AS E.G., FORTRAN-IV COMPILERS CAN PROCESS PROGRAMS WRITTEN WITH COMPLEX VARIABLES. THE PAPER DISCUSSES THE PROBLEM OF HORIZONTAL BLOCK ADJUSTMENT AND ITS REPRESENTATION IN A COMPLEX PLANE. THE STRUCTURE OF THE MATRIX OF NORMAL EQUATIONS, HERE OF HERMITIAN TYPE, IS SHOWN, AND ITS SOLUTION INDICATED. A UNIQUE, TWO-DIMENSIONAL NUMBERING SYSTEM FOR BLOCK ADJUSTMENTS IS INTRODUCED, THAT LEADS TO A SPECIAL HIGHLY EFFICIENT ELIMINATION PROCESS. /AUTHOR/

  • Supplemental Notes:
    • Vol 37, No 1, PP 85-98, 11 FIG, 12 REF
  • Authors:
    • Dorrer, E
  • Publication Date: 1971-1

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Filing Info

  • Accession Number: 00202889
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Apr 25 1971 12:00AM