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The CP2K Program Package Made Simple. [PDF]
Iannuzzi M +26 more
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The Asymptotic Safety Scenario in Quantum Gravity. [PDF]
Niedermaier M, Reuter M.
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Quasi-Local Energy-Momentum and Angular Momentum in GR: A Review Article. [PDF]
Szabados LB.
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Symmetrized Max-Plus Algebra and Ultradiscrete sine-Gordon Equation
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The QR decomposition and the singular value decomposition in the symmetrized max-plus algebra
SIAM Journal on Matrix Analysis and Applications, 1997The basic max-plus algebra operations are \(x\oplus y=\max(x,y)\) and \(x\otimes y=x+y\) for \(x,y\in\mathbb{R}\cup\{-\infty\}\). These operations present some analogy with addition and multiplication in \(\mathbb{R}^+\) respectively. Clearly \(-\infty\) acts as a zero element for \(\oplus\). There is no inverse but the max-plus algebra can be extended
Bart De Schutter, Bart De Moor
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SIAM Review, 2002
Summary: This paper is an updated and extended version of the authors' paper in SIAM J. Matrix Anal. Appl. 19, No. 2, 378-406 (1998; Zbl 0915.15014). The max-plus algebra, which has maximization and addition as its basic operations, can be used to describe and analyze certain classes of discrete-event systems, such as flexible manufacturing systems ...
Bart De Schutter, Bart De Moor
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Summary: This paper is an updated and extended version of the authors' paper in SIAM J. Matrix Anal. Appl. 19, No. 2, 378-406 (1998; Zbl 0915.15014). The max-plus algebra, which has maximization and addition as its basic operations, can be used to describe and analyze certain classes of discrete-event systems, such as flexible manufacturing systems ...
Bart De Schutter, Bart De Moor
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Far East Journal of Mathematical Sciences, 2015
Necessary And Sufficient Conditions For The Solution Of The Linear Balanced Systems In The Symmetrized Max Plus ...
Ariyanti, Gregoria +2 more
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Necessary And Sufficient Conditions For The Solution Of The Linear Balanced Systems In The Symmetrized Max Plus ...
Ariyanti, Gregoria +2 more
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The Existence of the Moore-Penrose Inverse in Symmetrized Max-Plus Algebraic Matrix
Advances in physics research, 2022Renny Renny +2 more
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