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Absolute value equations with tensor product structure: Unique solvability and numerical solution

Somayeh Mollahasani, Fatemeh Panjeh Ali Beik (2022)

Applications of Mathematics

We consider the absolute value equations (AVEs) with a certain tensor product structure. Two aspects of this kind of AVEs are discussed in detail: the solvability and approximate solution. More precisely, first, some sufficient conditions are provided which guarantee the unique solvability of this kind of AVEs. Furthermore, a new iterative method is constructed for solving AVEs and its convergence properties are investigated.  The validity of established theoretical results and performance of the...

Absolutely flat idempotents.

Johnson, Charles R., Harel, Yonatan, Hillar, Christopher J., Groves, Jonathan M., Rault, Patrick X. (2003)

ELA. The Electronic Journal of Linear Algebra [electronic only]

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