Geodesic
Absolute value equations with tensor product structure: Unique solvability and numerical solution
Applications of Mathematics, Tome 67 (2022) no. 5, pp. 657-674.

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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 proposed iterative scheme are examined numerically. 
DOI : 10.21136/AM.2022.0169-21
Classification : 15A69, 65F10
Keywords: iterative method; absolute value equation; convergence; tensor (Kronecker) product 
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     title = {Absolute value equations with tensor product structure: {Unique} solvability and numerical solution},
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Mollahasani, Somayeh; Panjeh Ali Beik, Fatemeh. Absolute value equations with tensor product structure: Unique solvability and numerical solution. Applications of Mathematics, Tome 67 (2022) no. 5, pp. 657-674. doi : 10.21136/AM.2022.0169-21. http://geodesic.mathdoc.fr/articles/10.21136/AM.2022.0169-21/

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