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  • 1
    Publication Date: 2019-06-27
    Description: A procedure is described for computing an initial feasible vector, x sub 0, for Stoer's algorithm for solving the linear least squares problem subject to linear equality and inequality constraints. The procedure described fits well with Stoer's algorithm since much of the computation performed to determine x sub 0 accomplishes initializing transformations of the problem data, which would otherwise be done in Stoer's algorithm after being given an x sub 0.
    Keywords: NUMERICAL ANALYSIS
    Type: NASA-CR-142189 , JPL-TM-33-724
    Format: application/pdf
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  • 2
    Publication Date: 2019-06-27
    Description: A package of 38 low level subprograms for many of the basic operations of numerical linear algebra is presented. The package is intended to be used with FORTRAN. The operations in the package are dot products, elementary vector operations, Givens transformations, vector copy and swap, vector norms, vector scaling, and the indices of components of largest magnitude. The subprograms and a test driver are available in portable FORTRAN. Versions of the subprograms are also provided in assembly language for the IBM 360/67, the CDC 6600 and CDC 7600, and the Univac 1108.
    Keywords: COMPUTER PROGRAMMING AND SOFTWARE
    Type: NASA-CR-156932 , SAND-77-0898
    Format: application/pdf
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  • 3
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    In:  CASI
    Publication Date: 2019-06-27
    Description: An elementary derivation and a complete description is given of an algorithm for interpolation over a plane triangle when function values and first partial derivatives are given at the vertices. The method gives C1 continuity with neighboring triangles. The interpolation method is mathematically equivalent to one that has been discussed previously in the literature; however, the algorithmic form given here is more efficient than has previously been described.
    Keywords: NUMERICAL ANALYSIS
    Type: NASA-CR-147946 , JPL-TM-33-770
    Format: application/pdf
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  • 4
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    In:  Other Sources
    Publication Date: 2019-06-27
    Description: Language problem areas are summarized and possible solutions are discussed. Areas covered are: (1) double complex, (2) arrays of work space in library subroutines, (3) calls from a library subprogram to user code, (4) decomposition and synthesis of floating-point numbers, (5) environment parameters, (6) precision function, and (7) control structures.
    Keywords: COMPUTER PROGRAMMING AND SOFTWARE
    Type: Conf. on the Programming Environ. for Develop. of Numerical Software; p 7-10
    Format: text
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  • 5
    Publication Date: 2019-06-27
    Description: Definite integrals are evaluated for the cardinal functions of an interpolation method which provides C sup 1 continuity over a triangular grid.
    Keywords: NUMERICAL ANALYSIS
    Type: NASA-CR-149277 , JPL-TM-33-808
    Format: application/pdf
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  • 6
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    In:  CASI
    Publication Date: 2019-07-13
    Description: The problem of mathematically defining a smooth surface, passing through a finite set of given points is studied. Literature relating to the problem is briefly reviewed. An algorithm is described that first constructs a triangular grid in the (x,y) domain, and first partial derivatives at the modal points are estimated. Interpolation in the triangular cells using a method that gives C sup.1 continuity overall is examined. Performance of software implementing the algorithm is discussed. Theoretical results are presented that provide valuable guidance in the development of algorithms for constructing triangular grids.
    Keywords: THEORETICAL MATHEMATICS
    Type: NASA-CR-155047 , JPL-PUBL-77-30 , Symp. on Mathematical Software; Mar 28, 1977 - Mar 30, 1977; Madison, WI; United States
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  • 7
    Publication Date: 2019-06-27
    Description: Methods are given for computing the covariance matrix for the solution vector of an equality-constrained least squares problem. The methods are matched to the solution algorithms given in the book, 'Solving Least Squares Problems.'
    Keywords: NUMERICAL ANALYSIS
    Type: NASA-CR-149232 , JPL-TM-33-807
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  • 8
    Publication Date: 2019-07-13
    Description: Systematic approaches to numerical software development and testing are presented.
    Keywords: MATHEMATICAL AND COMPUTER SCIENCES (GENERAL)
    Type: NASA-CR-157933 , JPL-PUB-78-92 , Oct 18, 1978 - Oct 20, 1978; Pasadena, CA; United States
    Format: application/pdf
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