A note on unique solvability of the absolute value equation
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Abstract:
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 deniteness of a certain point matrix. Special case $B=-I$ is veried too as an application.
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Journal title
volume 02 issue 02
pages 77- 81
publication date 2013-06-01
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