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Design, Manufacturing, Tribology, and Performance of Microgears and Microgear Trains: A Critical Review of Mechanical Power Transmission at the Microscale. [PDF]

Micromachines (Basel)
Doroftei I, Cazacu CM.
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On the Solvability of Tensor Absolute Value Equations

Bulletin of the Malaysian Mathematical Sciences Society, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fatemeh P. A. Beik, Mehdi Najafi-Kalyani, Somayeh Mollahasani   +2 more
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On unique solvability of the absolute value equation

Optimization Letters, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiří Rohn
exaly   +3 more sources

The new iteration algorithm for absolute value equation

Applied Mathematics Letters, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yifen Ke
exaly   +2 more sources

Optimal correction of the absolute value equations

Journal of Global Optimization, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hossein Moosaei, Saeed Ketabchi, Milan Hladík   +2 more
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A note on absolute value equations

Optimization Letters, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sheng-Long Hu, Zheng-Hai Huang
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Generalized Perron Roots and Solvability of the Absolute Value Equation

SIAM Journal on Matrix Analysis and Applications, 2023
Let $A$ be a $n\times n$ real matrix. The piecewise linear equation system $z-A\vert z\vert =b$ is called an absolute value equation (AVE). It is well-known to be equivalent to the linear complementarity problem. Unique solvability of the AVE is known to be characterized in terms of a generalized Perron root called the sign-real spectral radius of $A$.
Josué Tonelli-Cueto, Manuel Radons
exaly   +7 more sources

On the Unique Solvability of the Absolute Value Equation

Journal of Optimization Theory and Applications, 2015
The authors consider the absolute value equation \(Ax+B|x|=b\) for matrices \(A,B\in \mathbb R^{n\times n}\) and investigate its unique solvability in the case \(B=I\) and for \(A\) diagonally dominant, connected to \(M\)-matrices or being positive definite.
Shi-Liang Wu, Peng Guo
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Absolute value equations with uncertain data

Optimization Letters, 2019
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Mohammad A. Raayatpanah, Hossein Moosaei, Panos M. Pardalos   +2 more
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On the solution of general absolute value equations

Applied Mathematics Letters, 2020
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