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On the “Best” and “Least Qth” Approximation of an Overdetermined System of Linear Equations
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Source Journal of the ACM (JACM) archive
Volume 4 ,  Issue 3  (July 1957) table of contents
Pages: 341 - 347  
Year of Publication: 1957
ISSN:0004-5411
Authors
Allen A. Goldstein  Convair-Astronautics, San Diego, California
Norman Levine  Convair-Astronautics, San Diego, California
James B. Hereshoff  Convair, San Diego, California
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 3,   Downloads (12 Months): 22,   Citation Count: 1
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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
Cecil Hastings, Approximations for Digital Computers, Princeton University Press, Princeton, NJ, 1955
 
2
SELFmDGE, R. G. Approximations With Least Maximum Error, Pacific J. Math. 3 (1953), pp 247-255.
 
3
C.~RLSO~. BEXGT, AXD GOLDSTEIr,', MAX. Rational Approximations of Functions. U. S. Atomic Energy Commission, Los Alamos Scientific Lab., August 1955.
 
4
Povsslx, CH. J. DE L.< VALLkr.. Sur la Mdthode de l'Approximation Minimum, Soei~td Sciemifique de Bruxelles, Annales, Seconde Pattie, Mr!moires, 35 (1911), pp 1-16. The above paper has been translated, with a commentary by H. E. Salzer. Copies may be obtained by writing to him.
 
5
GOLDSTEIN, ALLEN A. On the Method of Descent in Convex Domains and its Application to the Minimal Approximations of Overdetermined Systems of Linear Equations. Mathematical Pre-Print Series, Convair Astronautics, San Diego, California.
 
6
SALZEm H. E. Formulas for Inverse Osculatory Interpolation, Jour. Research Nat. Bur. Standards, 56, (1956), RP2647.
 
7
FISHER, R. A., At,'D YATES, F. Stalistical Tables for Biological, Agricultural and Medical Research. Oliver and Boyd, Edinburgh, 1938.

CITED BY
Nabih N. Abdelmalek, Linear L1 Approximation for a Discrete Point Set and L1 Solutions of Overdetermined Linear Equations, Journal of the ACM (JACM), v.18 n.1, p.41-47, Jan. 1971

INDEX TERMS

Primary Classification:
  G. Mathematics of Computing
  G.1 NUMERICAL ANALYSIS
      G.1.3 Numerical Linear Algebra
          Subjects: Linear systems (direct and iterative methods)

Additional Classification:
  F. Theory of Computation
  F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY
      F.2.1 Numerical Algorithms and Problems
          Subjects: Computations on matrices


General Terms:
Algorithms, Measurement, Theory, Verification

Collaborative Colleagues:
Allen A. Goldstein: colleagues
Norman Levine: colleagues
James B. Hereshoff: colleagues

Peer to Peer - Readers of this Article have also read:

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