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  • 1
    Electronic Resource
    Electronic Resource
    A nonlinear equation for linear programming (1986)
    Springer
    Mathematical programming 34 (1986), S. 235-238 
    Details
    ISSN: 1436-4646
    Keywords: Linear Programming ; Characterization of Optimality ; Dual Program
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract We present a characterization of the ‘normal’ optimal solution of the linear program given in canonical form max{c tx: Ax = b, x ≥ 0}. (P) We show thatx * is the optimal solution of (P), of minimal norm, if and only if there exists anR 〉 0 such that, for eachr ≥ R, we havex * = (rc − Atλr)+. Thus, we can findx * by solving the following equation forλ r A(rc − Atλr)+ = b. Moreover,(1/r)λ r then ‘converges’ to a solution of the dual program.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01580588
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    Paper (German National Licenses)
    Fulltext
  • 2
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    On the grid generation methods in harmonic mapping on plane and curved surfaces (1984)
    In:  CASI
    Details
    Publication Date: 2019-06-28
    Description: Harmonic grid generation methods for multiply connected plane regions and regions on curved surfaces are discussed. In particular, using a general formulation on an analytic Riemannian manifold, it is proved that these mappings are globally one-to-one and onto.
    Keywords: NUMERICAL ANALYSIS
    Type: NASA-CR-172331 , ICASE-84-12 , NAS 1.26:172331
    Format: application/pdf
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    NASA TECHNICAL REPORTS
  • 3
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    A simplified package for calculating with splines (1974)
    In:  CASI
    Details
    Publication Date: 2019-06-27
    Description: This package is designed to solve some of the elementary problems of spline interpretation and least squares fit. The subroutines fall into three basic categories. The first category involves computations with a given spline and/or knot sequence; the second category involves routines which calculate the coefficients of splines which perform a certain task (such as interpolation or least squares fit); and the last category is a banded equation solver for specific linear equations.
    Keywords: NUMERICAL ANALYSIS
    Type: NASA-CR-141623
    Format: application/pdf
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    NASA TECHNICAL REPORTS
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