A note on unique solvability of the absolute value equation

Journal of Linear and Topological Algebra

مقاله 3، دوره 02، شماره 02، شهریور 2013، صفحه 77-81   

نویسندگان

T. Lotfi؛ H. Vieseh

Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran

چکیده

It is proved that applying sufficient regularity conditions to the interval matrix $[A-|B|,A + |B|]$, we can create a new unique solvability condition for the absolute value equation $Ax + B|x|=b$, since regularity of interval matrices implies unique solvability of their corresponding absolute value equation. This condition is formulated in terms of positive deniteness of a certain point matrix. Special case $B=-I$ is veried too as an application.

کلیدواژه‌ها

eigenvalue؛ Generalized eigenvalue؛ Quadratic eigenvalue؛ Numerical computation؛ Iterative method

مراجع

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