Professional paper

Condition of a linear system

Jasenka Augustinović ; Odjel za matematiku, Sveučilište u Osijeku, Osijek, Hrvatska

Abstract

This paper provides analysis of condition of a linear system and its connection to the singular value decomposition. It can be seen that ill-conditioned matrices are "nearly singular". The singular value decomposition (SVD) also points to that relationship. In addition, SVD can be used to determine rank and numerical rank of a matrix. These relationships are demonstrated on examples with $3\times3$ matrices, for which Mathematica software package is used.

Keywords

condition of a linear system; singular matrix; the singular value decomposition; rank; numerical rank

Hrčak ID:

48341

URI

https://hrcak.srce.hr/48341

Publication date:

25.2.2010.

Article data in other languages: croatian

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