Title of article :
A note on unique solvability of the absolute value equation
Author/Authors :
Lotfi، T نويسنده Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran , , Veiseh، H نويسنده Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran ,
Issue Information :
روزنامه با شماره پیاپی 0 سال 2013
Pages :
5
From page :
77
To page :
81
Abstract :
It is proved that applying sucient regularity conditions to the interval matrix [A ?? jBj;A + jBj], we can create a new unique solvability condition for the absolute value equation Ax + Bjxj = 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.
Journal title :
Journal of Linear and Topological Algebra
Serial Year :
2013
Journal title :
Journal of Linear and Topological Algebra
Record number :
1340993
Link To Document :
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