Numerical Solution of Systems of Linear Algebraic Equations with Ill-Conditioned Matrices

Systems of linear algebraic equations (SLAEs) are considered in this work. If the matrix of a system is nonsingular, a unique solution of the system exists. In the singular case, the system can have no solution or infinitely many solutions. In this case, the notion of a normal solution is introduced...

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Veröffentlicht in:	Vestnik, St. Petersburg University. Mathematics St. Petersburg University. Mathematics, 2019-10, Vol.52 (4), p.388-393
Hauptverfasser:	Lebedeva, A. V., Ryabov, V. M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Linear algebra Linear equations Mathematics Mathematics and Statistics Matrix methods Numerical methods Regularization Regularization methods Vectors (mathematics)
Online-Zugang:	Volltext
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