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1988•Communications in Applied Numerical MethodsRequires access

Solution of full and deficient rank linear equations

R. P. Tewarson, J. F. Jen

Open publisher page 2 citations

Abstract

Abstract An algorithm for computing the solution of a linear system of algebraic equations is described. If the system is rank deficient, then the minimum norm least‐squares solution is obtained. The method utilizes Gaussian elimination with scaled partial pivoting and (in rank deficient case) orthogonal triangularizations on the remaining coefficient matrix.

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What this paper is about

Abstract An algorithm for computing the solution of a linear system of algebraic equations is described. If the system is rank deficient, then the minimum norm least‐squares solution is obtained. The method utilizes Gaussian elimination with scaled partial pivoting and (in rank deficient case) orthogonal triangularizations on the remaining coefficient matrix.

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Available abstract

Abstract An algorithm for computing the solution of a linear system of algebraic equations is described. If the system is rank deficient, then the minimum norm least‐squares solution is obtained. The method utilizes Gaussian elimination with scaled partial pivoting and (in rank deficient case) orthogonal triangularizations on the remaining coefficient matrix.

Key concepts: Gaussian elimination, Coefficient matrix, Rank (graph theory), Mathematics, System of linear equations, Overdetermined system, Applied mathematics, Augmented matrix

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