Relevant bibliographies by topics / Khatri-Rao product

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Academic literature on the topic 'Khatri-Rao product'

Author: Grafiati
Published: 6 September 2023

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Journal articles on the topic "Khatri-Rao product"

1

Ploymukda, Arnon, and Pattrawut Chansangiam. "Khatri-Rao Products for Operator Matrices Acting on the Direct Sum of Hilbert Spaces." Journal of Mathematics 2016 (2016): 1–7. http://dx.doi.org/10.1155/2016/8301709.

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We introduce the notion of Khatri-Rao product for operator matrices acting on the direct sum of Hilbert spaces. This notion generalizes the tensor product and Hadamard product of operators and the Khatri-Rao product of matrices. We investigate algebraic properties, positivity, and monotonicity of the Khatri-Rao product. Moreover, there is a unital positive linear map taking Tracy-Singh products to Khatri-Rao products via an isometry.
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2

Ploymukda, Arnon, and Pattrawut Chansangiam. "Norm estimations, continuity, and compactness for Khatri-Rao products of Hilbert Space operators." Malaysian Journal of Fundamental and Applied Sciences 14, no. 4 (2018): 382–86. http://dx.doi.org/10.11113/mjfas.v14n4.881.

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We provide estimations for the operator norm, the trace norm, and the Hilbert-Schmidt norm for Khatri-Rao products of Hilbert space operators. It follows that the Khatri-Rao product is continuous on norm ideals of compact operators equipped with the topologies induced by such norms. Moreover, if two operators are represented by block matrices in which each block is nonzero, then their Khatri-Rao product is compact if and only if both operators are compact. The Khatri-Rao product of two operators are trace-class (Hilbert-Schmidt class) if and only if each factor is trace-class (Hilbert-Schmidt class, respectively).
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3

Ploymukda, Arnon, and Pattrawut Chansangiam. "Inequalities on weighted classical pythagorean means, Tracy-Singh products, and Khatri-Rao products for hermitian operators." Malaysian Journal of Fundamental and Applied Sciences 16, no. 2 (2020): 223–27. http://dx.doi.org/10.11113/mjfas.v16n2.1359.

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We establish a number of operator inequalities between three kinds of means, namely, weighted arithmetic/harmonic/geometric means, and two kinds of operator products, namely, Tracy-Singh products and Khatri-Rao products. These results are valid under certain assumptions relying on (opposite) synchronization, comparability, and spectra of operators. Our results include tensor product of operators, and Tracy-Singh/Khatri-Rao products of matrices as special cases.
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4

Yang, Zhongpeng, Shuangzhe Liu, and Götz Trenkler. "Further inequalities involving the Khatri-Rao product." Linear Algebra and its Applications 430, no. 10 (2009): 2696–704. http://dx.doi.org/10.1016/j.laa.2008.12.004.

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5

ć Hot, Jadranka Mić. "Inequalities involving the Khatri-Rao product of matrices." Journal of Mathematical Inequalities, no. 4 (2009): 617–30. http://dx.doi.org/10.7153/jmi-03-60.

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6

Dong, Sheng, Qingwen Wang, and Lei Hou. "Determinantal inequalities for block Hadamard product and Khatri-Rao product of positive definite matrices." AIMS Mathematics 7, no. 6 (2022): 9648–55. http://dx.doi.org/10.3934/math.2022536.

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<abstract><p>In this paper, we first give an alternative proof for a result of Liu et al. in [Math. Inequal. Appl. 20 (2017) 537–542]. Then we present two inequalities for the block Hadamard product and the Khatri-Rao product respectively. The inequalities obtained extend the result of Liu et al.</p></abstract>
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7

Abubaker, Nabil, Seher Acer, and Cevdet Aykanat. "True Load Balancing for Matricized Tensor Times Khatri-Rao Product." IEEE Transactions on Parallel and Distributed Systems 32, no. 8 (2021): 1974–86. http://dx.doi.org/10.1109/tpds.2021.3053836.

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8

ao Li, Yong, and L. hua Feng. "An Oppenheim type determinantal inequality for the Khatri-Rao product." Operators and Matrices, no. 2 (2021): 693–701. http://dx.doi.org/10.7153/oam-2021-15-47.

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9

Khanna, Saurabh, and Chandra R. Murthy. "On the Restricted Isometry of the Columnwise Khatri–Rao Product." IEEE Transactions on Signal Processing 66, no. 5 (2018): 1170–83. http://dx.doi.org/10.1109/tsp.2017.2781652.

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10

Konishi, Jumpei, Hiroyoshi Yamada, and Yoshio Yamaguchi. "Optimum element arrangements in MIMO radar using Khatri-Rao product virtual array processing." IEICE Communications Express 7, no. 11 (2018): 407–14. http://dx.doi.org/10.1587/comex.2018xbl0104.

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