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FORTRAN Subroutines to Solve the Linear Least-Squares Problem and Compute the Complete Orthogonal Factorization.

Wright,Margaret H, Glassman,Steven C

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Abstract

This report describes the computational procedures involved in: solution of linear least-squares problems (including systems of non-singular, over- and under-determined linear equations); formation of the complete orthogonal factorization of a general real matrix. Some aspects of implementation and the estimation of rank are discussed. Full documentation (including source code) is given for a modular set of Fortran subroutines to solve these problems and several related problems. (Author)

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This report describes the computational procedures involved in: solution of linear least-squares problems (including systems of non-singular, over- and under-determined linear equations); formation of the complete orthogonal factorization of a general real matrix. Some aspects of implementation and the estimation of rank are discussed. Full documentation (including source code) is given for a modular set of Fortran subroutines to solve these problems and several related problems. (Author)

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Available abstract

This report describes the computational procedures involved in: solution of linear least-squares problems (including systems of non-singular, over- and under-determined linear equations); formation of the complete orthogonal factorization of a general real matrix. Some aspects of implementation and the estimation of rank are discussed. Full documentation (including source code) is given for a modular set of Fortran subroutines to solve these problems and several related problems. (Author)

Key concepts: Subroutine, Fortran, Rank (graph theory), Computer science, Factorization, Set (abstract data type), Algebra over a field, Least-squares function approximation

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FORTRAN Subroutines to Solve the Linear Least-Squares Problem and Compute the Complete Orthogonal Factorization. — Research Paper | ScholarLens