Milan Hladík. Solution sets of complex linear interval systems of equations. Reliab. Comput., 14:78–87, 2010.
We present a solution set description for systems of complex interval equations, where complex intervals have a rectangular form. The solution set is described by a system of nonlinear inequalities, which can be used to obtain a very accurate approximation of the interval hull of the solution set. In our numerical experiments we exploit this approximation to study overestimation for common complex interval equation solvers (Gauss elimination, Hansen-Bliek-Rohn-Ning-Kearfott method).
@article{Hla2010f,
author = "Milan Hlad\'{\i}k",
title = "Solution sets of complex linear interval systems of equations",
journal = "Reliab. Comput.",
fjournal = "Reliable Computing",
volume = "14",
pages = "78-87",
year = "2010",
bib2html_dl_html = "http://interval.louisiana.edu/reliable-computing-journal/tables-of-contents.html#Volume_14",
abstract = "We present a solution set description for systems of complex interval equations, where complex intervals have a rectangular form. The solution set is described by a system of nonlinear inequalities, which can be used to obtain a very accurate approximation of the interval hull of the solution set. In our numerical experiments we exploit this approximation to study overestimation for common complex interval equation solvers (Gauss elimination, Hansen-Bliek-Rohn-Ning-Kearfott method).
",
keywords = "complex interval systems, complex intervals, solution set",
}
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