The Experts below are selected from a list of 65781 Experts worldwide ranked by ideXlab platform
Ivan Kyrchei - One of the best experts on this subject based on the ideXlab platform.
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Determinantal representation of the Moore–Penrose Inverse Matrix over the quaternion skew field
Journal of Mathematical Sciences, 2012Co-Authors: Ivan KyrcheiAbstract:Within the framework of the theory of column and row determinants, we have obtained the determinantal representation of the Moore–Penrose Inverse Matrix over the quaternion skew field.
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determinantal representation of the moore penrose Inverse Matrix over the quaternion skew field
Journal of Mathematical Sciences, 2012Co-Authors: Ivan KyrcheiAbstract:Within the framework of the theory of column and row determinants, we have obtained the determinantal representation of the Moore–Penrose Inverse Matrix over the quaternion skew field.
Penghui Shen - One of the best experts on this subject based on the ideXlab platform.
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Inverse Matrix Auto-Search Technique for the RTS MIMO OTA Test—Part II: Validations
IEEE Transactions on Electromagnetic Compatibility, 2018Co-Authors: Penghui ShenAbstract:Uncertainty analysis for the multi-input multi-output (MIMO) over-the-air (OTA) measurement is very important for the test standardizations. As one of the only two standard MIMO OTA test methods, the radiated two-stage (RTS) method is known for its simple test setup and cost-effective solution. The RTS measurement uncertainties have been researched and discussed. Especially the Inverse Matrix auto-search uncertainty is discussed and validated in this paper. The RTS method is based on three steps: the antenna pattern measurement, the Inverse Matrix solving, and the throughput test. With the Inverse Matrix applied, the throughput test could be conducted OTA or called virtual cables. However, the isolation of the virtual cable may cause great desensitization. This paper details the RTS MIMO OTA measurement uncertainties caused by the isolation. That is helpful for avoiding or reducing the test errors as much as possible in the process of RTS implementations.
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Inverse Matrix Auto-Search Technique for the RTS MIMO OTA Test—Part 1: Theory
IEEE Transactions on Electromagnetic Compatibility, 2017Co-Authors: Penghui ShenAbstract:An Inverse Matrix auto-search algorithm for radiated two-stage (RTS) multiple-input and multiple-output (MIMO) over-the-air (OTA) tests is proposed in this paper. The RTS method is one of the significant techniques for the MIMO OTA test and was provided by organizations such as the Cellular Telecommunication and Internet Association and the Third-Generation Partnership Project. An extremely important basic step in the RTS test procedure is to select an appropriate combination of measurement antennas and device-under-test orientation for Inverse Matrix solving. The automatic resolving algorithm proposed in this paper can be divided into two parts: the technique for selecting the appropriate combinations for Inverse Matrix solving, and the method for solving the Inverse Matrix at a fixed combination. The technique proposed in this paper can make the RTS test procedure automatic and fast, which greatly improves the user experience. The most mentionable advantage of the technique is that only 2 min are required for the whole process including the appropriate combination calculation and the Inverse Matrix solving at the selected combination, while several hours might be needed using the traversal method.
Hao Jun - One of the best experts on this subject based on the ideXlab platform.
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An Iterative Dividing and Conquering Algorithm for Inverse Matrix
Journal of Sichuan Normal University, 2002Co-Authors: Hao JunAbstract:In this paper, an iterative dividing and conquering algorithm finding the Inverse Matrix A -1 of an invertible Matrix A∈R n×n is given based on the row action method. The convergence and the correctness of the algorithm are proved. The intrinsic parallel characterization is discussed. It is proved that the algorithm can be easily translated into Q convergent iterative parallel algorithm which can be realized on vector multitreating machine systems. Moreover, from the algorithm, an iterative dividing and conquering algorithm finding generalized Inverse matrices A + is also designed.
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Implementation of Row Action Method for Generalized Inverse Matrix
Journal of Sichuan Normal University, 2000Co-Authors: Hao JunAbstract:In this paper, it is implement by prog ram that the row action method for the generalized Inverse Matrix A-+ with the relation -+A=A.
Zhu Hua - One of the best experts on this subject based on the ideXlab platform.
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Pseudo-Inverse Matrix Method —— A New Method to Deal with the Adiabatic Test Data
Chinese Journal of Explosives and Propellants, 2003Co-Authors: Zhu HuaAbstract:A pseudoInverse Matrix method to deal with the test data for accelerating rate calorimeter (ARC) is presented. The kinetic parameters of thermal decomposition for 4nitrotoluene2sulfonic acid are calculated the pseudoInverse Matrix method. The reliability of the new method is tested by data simulation. It is showed that the pseudoInverse Matrix has advantage over other similar methods on adiabatic test data.
Zeng Xian - One of the best experts on this subject based on the ideXlab platform.
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Row Action Method for Generalized Inverse Matrix
Journal of Sichuan Normal University, 2000Co-Authors: Zeng XianAbstract:The row action method for the generali zed Inverse Matrix A + with the ralation AA +A=A is put forward, the correctness and the convergence of this metho d are proved.
