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Linear and Multilinear Algebra Volume 55, 2007 - Issue 6
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Original Articles

An LMI description for the cone of Lorentz-positive maps

Roland Hildebrand LMC, Université Joseph Fourier, Tour IRMA, 51 rue des Mathématiques, 38400 St. Martin d'Héres, FranceCorrespondence[email protected]
Pages 551-573 | Received 17 Jan 2006, Accepted 07 Dec 2006, Published online: 09 Oct 2007

Citations (12)

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Roland Hildebrand. (2011) An LMI description for the cone of Lorentz-positive maps II. Linear and Multilinear Algebra 59:7, pages 719-731.
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Articles from other publishers (11)

Guillaume Aubrun & Alexander Müller-Hermes. (2022) Annihilating Entanglement Between Cones. Communications in Mathematical Physics 400:2, pages 931-976.
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Guillaume O. Berger & Raphaël M. Jungers. (2021) -dominant switched linear systems . Automatica 132, pages 109801.
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Andreas GründingerAndreas Gründinger. 2020. Statistical Robust Beamforming for Broadcast Channels and Applications in Satellite Communication. Statistical Robust Beamforming for Broadcast Channels and Applications in Satellite Communication 199 203 .
Andreas GründingerAndreas Gründinger. 2020. Statistical Robust Beamforming for Broadcast Channels and Applications in Satellite Communication. Statistical Robust Beamforming for Broadcast Channels and Applications in Satellite Communication 127 170 .
Jun Shen & James Lam. (2017) Some Extensions on the Bounded Real Lemma for Positive Systems. IEEE Transactions on Automatic Control 62:6, pages 3034-3038.
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Jun Shen & James Lam. (2017) Input–output gain analysis for linear systems on cones. Automatica 77, pages 44-50.
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Jianying Zheng, Yanqiong Zhang & Li Qiu. (2016) Projected spectrahedral cone-invariant realization of an LTI system with nonnegative impulse response. Projected spectrahedral cone-invariant realization of an LTI system with nonnegative impulse response.
Fatma Kılınç-Karzan. (2016) On Minimal Valid Inequalities for Mixed Integer Conic Programs. Mathematics of Operations Research 41:2, pages 477-510.
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Ivan Papusha & Richard M. Murray. (2015) Analysis of control systems on symmetric cones. Analysis of control systems on symmetric cones.
Ryoichi Nishimura, Shunsuke Hayashi & Masao Fukushima. (2012) SDP reformulation for robust optimization problems based on nonconvex QP duality. Computational Optimization and Applications 55:1, pages 21-47.
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Roland Hildebrand. (2007) Exactness of sums of squares relaxations involving matrices and Lorentz cones . Linear Algebra and its Applications 426:2-3, pages 815-840.
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