Relevant bibliographies by topics / Frobenius-Norm

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Frobenius-Norm'

Author: Grafiati
Published: 4 June 2021
Last updated: 14 February 2022

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Journal articles on the topic "Frobenius-Norm"

1

Cheng, Che-Man, Seak-Weng Vong, and David Wenzel. "Commutators with maximal Frobenius norm." Linear Algebra and its Applications 432, no. 1 (January 2010): 292–306. http://dx.doi.org/10.1016/j.laa.2009.08.008.

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Peng, Yang. "Inequalities for the Frobenius norm." Journal of Mathematical Inequalities, no. 2 (2015): 493–98. http://dx.doi.org/10.7153/jmi-09-43.

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Peng, Xi, Canyi Lu, Zhang Yi, and Huajin Tang. "Connections Between Nuclear-Norm and Frobenius-Norm-Based Representations." IEEE Transactions on Neural Networks and Learning Systems 29, no. 1 (January 2018): 218–24. http://dx.doi.org/10.1109/tnnls.2016.2608834.

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Böttcher, Albrecht, and David Wenzel. "The Frobenius norm and the commutator." Linear Algebra and its Applications 429, no. 8-9 (October 2008): 1864–85. http://dx.doi.org/10.1016/j.laa.2008.05.020.

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Chellaboina, V., and W. M. Haddad. "Is the Frobenius matrix norm induced?" IEEE Transactions on Automatic Control 40, no. 12 (1995): 2137–39. http://dx.doi.org/10.1109/9.478340.

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Toutounian, F., D. Khojasteh Salkuyeh, and M. Mojarrab. "LSMR Iterative Method for General Coupled Matrix Equations." Journal of Applied Mathematics 2015 (2015): 1–12. http://dx.doi.org/10.1155/2015/562529.

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By extending the idea of LSMR method, we present an iterative method to solve the general coupled matrix equations∑k=1qAikXkBik=Ci,i=1,2,…,p, (including the generalized (coupled) Lyapunov and Sylvester matrix equations as special cases) over some constrained matrix groups(X1,X2,…,Xq), such as symmetric, generalized bisymmetric, and(R,S)-symmetric matrix groups. By this iterative method, for any initial matrix group(X1(0),X2(0),…,Xq(0)), a solution group(X1*,X2*,…,Xq*)can be obtained within finite iteration steps in absence of round-off errors, and the minimum Frobenius norm solution or the minimum Frobenius norm least-squares solution group can be derived when an appropriate initial iterative matrix group is chosen. In addition, the optimal approximation solution group to a given matrix group(X¯1,X¯2,…,X¯q)in the Frobenius norm can be obtained by finding the least Frobenius norm solution group of new general coupled matrix equations. Finally, numerical examples are given to illustrate the effectiveness of the presented method.
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Yin, Feng, and Guang-Xin Huang. "An Iterative Algorithm for the Least Squares Generalized Reflexive Solutions of the Matrix Equations." Abstract and Applied Analysis 2012 (2012): 1–18. http://dx.doi.org/10.1155/2012/857284.

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The generalized coupled Sylvester systems play a fundamental role in wide applications in several areas, such as stability theory, control theory, perturbation analysis, and some other fields of pure and applied mathematics. The iterative method is an important way to solve the generalized coupled Sylvester systems. In this paper, an iterative algorithm is constructed to solve the minimum Frobenius norm residual problem: min over generalized reflexive matrix . For any initial generalized reflexive matrix , by the iterative algorithm, the generalized reflexive solution can be obtained within finite iterative steps in the absence of round-off errors, and the unique least-norm generalized reflexive solution can also be derived when an appropriate initial iterative matrix is chosen. Furthermore, the unique optimal approximate solution to a given matrix in Frobenius norm can be derived by finding the least-norm generalized reflexive solution of a new corresponding minimum Frobenius norm residual problem: with , . Finally, several numerical examples are given to illustrate that our iterative algorithm is effective.
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Cui, Xiangzhao, Chun Li, Jine Zhao, Li Zeng, Defei Zhang, and Jianxin Pan. "Covariance structure regularization via Frobenius-norm discrepancy." Linear Algebra and its Applications 510 (December 2016): 124–45. http://dx.doi.org/10.1016/j.laa.2016.08.013.

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Huckle, T., and A. Kallischko. "Frobenius norm minimization and probing for preconditioning." International Journal of Computer Mathematics 84, no. 8 (August 2007): 1225–48. http://dx.doi.org/10.1080/00207160701396387.

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González, Luis, and Antonio Suárez. "Improving approximate inverses based on Frobenius norm minimization." Applied Mathematics and Computation 219, no. 17 (May 2013): 9363–71. http://dx.doi.org/10.1016/j.amc.2013.03.057.

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Dissertations / Theses on the topic "Frobenius-Norm"

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Wenzel, David. "Scharfe Ungleichungen für Normen von Kommutatoren endlicher Matrizen." Doctoral thesis, Universitätsbibliothek Chemnitz, 2011. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-70656.

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In der Dissertation werden Schranken für Abschätzungen des Kommutators in verschiedenen Normen gegeben. Den Ausgangspunkt bildet die Frobenius-Norm, für die eine überraschend kleine Schranke bewiesen werden kann. Auf diesem Resultat aufbauend lassen sich über eine spezielle Adaption der Interpolationsmethode von Riesz-Thorin scharfe Schranken bei Verwendung von Schatten- und Vektornormen weitestgehend bestimmen. Es werden ferner die Fälle untersucht, in denen die obere Abschätzung erreicht wird (sog. Maximalität). Eine wichtige Rolle spielen verschiedene Darstellungen der Ungleichung, welche vielfältige Interpretationsmöglichkeiten eröffen und Verbindungen der algebraischen Abschätzung zu einem wichtigen Satz der Differentialgeometrie über die Krümmung von Mannigfaltigkeiten aufzeigen.
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Ekdahl, Filipsson Fabian. "Trajectory and Pulse Optimization for Active Towed Array Sonar using MPC and Information Measures." Thesis, Uppsala universitet, Avdelningen för systemteknik, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-420532.

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In underwater tracking and surveillance, the active towed array sonar presents a way of discovering and tracking adversarial submerged targets that try to stay hidden. The configuration consist of listening and emitting hydrophones towed behind a ship. Moreover, it has inherent limitations, and the characteristics of sound in the ocean are complex. By varying the pulse form emitted and the trajectory of the ship the measurement accuracy may be improved. This type of optimization constitutes a sensor management problem. In this thesis, a model of the tracking scenario has been constructed derived from Cramér-Rao bound analyses. A model predictive control approach together with information measures have been used to optimize a filter's estimated state of the target. For the simulations, the MATLAB environment has been used. Different combinations of decision horizons, information measures and variations of the Kalman filter have been studied. It has been found that the accuracy of the Extended Kalman filter is too low to give consistent results given the studied information measures. However, the Unscented Kalman filter is sufficient for this purpose.
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Wenzel, David. "Scharfe Ungleichungen für Normen von Kommutatoren endlicher Matrizen." Doctoral thesis, 2010. https://monarch.qucosa.de/id/qucosa%3A19544.

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In der Dissertation werden Schranken für Abschätzungen des Kommutators in verschiedenen Normen gegeben. Den Ausgangspunkt bildet die Frobenius-Norm, für die eine überraschend kleine Schranke bewiesen werden kann. Auf diesem Resultat aufbauend lassen sich über eine spezielle Adaption der Interpolationsmethode von Riesz-Thorin scharfe Schranken bei Verwendung von Schatten- und Vektornormen weitestgehend bestimmen. Es werden ferner die Fälle untersucht, in denen die obere Abschätzung erreicht wird (sog. Maximalität). Eine wichtige Rolle spielen verschiedene Darstellungen der Ungleichung, welche vielfältige Interpretationsmöglichkeiten eröffen und Verbindungen der algebraischen Abschätzung zu einem wichtigen Satz der Differentialgeometrie über die Krümmung von Mannigfaltigkeiten aufzeigen.
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Books on the topic "Frobenius-Norm"

1

Carpentieri, B. Some sparse pattern selection strategies for robust Frobenius norm minimization preconditioners in electromagentism. Chilton: Rutherford Appleton Laboratory, 2000.

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Book chapters on the topic "Frobenius-Norm"

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Bendraou, Youssef, Fedwa Essannouni, Ahmed Salam, and Driss Aboutajdine. "Video Cut Detector via Adaptive Features using the Frobenius Norm." In Advances in Visual Computing, 380–89. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-50832-0_37.

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Lu, Zhiqin, and David Wenzel. "Commutator Estimates Comprising the Frobenius Norm – Looking Back and Forth." In Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics, 533–59. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-49182-0_22.

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Cui, Xiangzhao, Zhenyang Li, Jine Zhao, Defei Zhang, and Jianxin Pan. "Covariance Matrix Regularization for Banded Toeplitz Structure via Frobenius-Norm Discrepancy." In Contributions to Statistics, 111–25. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-17519-1_9.

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Khot, N. S., and R. V. Grandhi. "Structural and Control Optimization with Weight and Frobenius Norm as Performance Functions." In Structural Optimization, 151–58. Dordrecht: Springer Netherlands, 1988. http://dx.doi.org/10.1007/978-94-009-1413-1_20.

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Conference papers on the topic "Frobenius-Norm"

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Wang, Wei, Wencong Ruan, and Qiang Wang. "Frobenius Norm based 2DPCA." In 2020 IEEE 4th Information Technology, Networking, Electronic and Automation Control Conference (ITNEC). IEEE, 2020. http://dx.doi.org/10.1109/itnec48623.2020.9085188.

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XingDong, Yang, and Ding ZhiYing. "Some Natures on Matrix Frobenius Norm." In 2010 Third International Conference on Information and Computing Science (ICIC). IEEE, 2010. http://dx.doi.org/10.1109/icic.2010.188.

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Zhao, Weizhou, and Hui Zhang. "Secure Fingerprint Recognition Based on Frobenius Norm." In 2012 International Conference on Computer Science and Electronics Engineering (ICCSEE). IEEE, 2012. http://dx.doi.org/10.1109/iccsee.2012.372.

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Liu, Pengfei, and Liang Xiao. "Fast Hessian Frobenius Norm Based Image Restoration." In 2014 6th International Conference on Intelligent Human-Machine Systems and Cybernetics (IHMSC). IEEE, 2014. http://dx.doi.org/10.1109/ihmsc.2014.104.

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Du, Huiqin, Tharm Ratnarajah, Mathini Sellathurai, and Constantinos B. Papadias. "Joint Frobenius norm and reweighted nuclear norm minimization for interference alignment." In ICC 2013 - 2013 IEEE International Conference on Communications. IEEE, 2013. http://dx.doi.org/10.1109/icc.2013.6655346.

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Yang, Kai-fan. "The Extremum of the Frobenius Norm of Matrix." In 2011 Fourth International Joint Conference on Computational Sciences and Optimization (CSO). IEEE, 2011. http://dx.doi.org/10.1109/cso.2011.267.

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Wu, Xuan, Songze Tang, Lili Huang, Wenze Shao, Pengfei Liu, and Zhihui Wei. "Robust color demosaicking via vectorial hessian frobenius norm regularization." In 2016 IEEE International Conference on Signal and Image Processing (ICSIP). IEEE, 2016. http://dx.doi.org/10.1109/siprocess.2016.7888244.

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Yang, Xingdong, Cheng Chen, Zhiying Ding, and Jiajing Zhang. "The Bounds for Spectral Norm and Frobenius Norm Condition Number of a Simple Matrix." In 2011 Fourth International Conference on Information and Computing (ICIC). IEEE, 2011. http://dx.doi.org/10.1109/icic.2011.123.

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Theofilakos, Panagiotis, and Athanasios G. Kanatas. "Frobenius norm based receive Antenna Subarray Formation for MIMO systems." In 2006 1st European Conference on Antennas and Propagation (EuCAP). IEEE, 2006. http://dx.doi.org/10.1109/eucap.2006.4584952.

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Sridharan, Gokul, and Wei Yu. "Beamformer design for interference alignment using reweighted frobenius norm minimization." In 2014 IEEE 15th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC). IEEE, 2014. http://dx.doi.org/10.1109/spawc.2014.6941890.

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Reports on the topic "Frobenius-Norm"

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Ramaker, Russell A. The Design of Low Order Controllers Using the Frobenius-Hankel Norm. Fort Belvoir, VA: Defense Technical Information Center, April 1990. http://dx.doi.org/10.21236/ada221109.

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Lee, S. L. Bounds for Departure from Normality and the Frobenius Norm of Matrix Eigenvalues. Office of Scientific and Technical Information (OSTI), January 1995. http://dx.doi.org/10.2172/814368.

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Lee, S. L. Bounds for departure from normality and the Frobenius norm of matrix eigenvalues. Office of Scientific and Technical Information (OSTI), December 1994. http://dx.doi.org/10.2172/10114083.

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You might also be interested in the extended bibliographies on the topic 'Frobenius-Norm' for particular source types:
Journal articles
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