Gu, Jiaqi; Feng, Shenghao; Wei, Yimin Hypergraph analysis based on a compatible tensor product structure. (English) Zbl 07785314 Linear Algebra Appl. 682, 122-151 (2024). MSC: 05C65 05C40 05C76 15A69 15A18 PDFBibTeX XMLCite \textit{J. Gu} et al., Linear Algebra Appl. 682, 122--151 (2024; Zbl 07785314) Full Text: DOI arXiv
Abdelali, Zine El Abidine; El Khatiri, Youssef Order isomorphisms on effect algebras of the \(\mathrm{C}^\ast\)-algebras of type \(\mathscr{C}(\mathscr{X})\otimes\mathscr{B}(\mathscr{H})\). (English) Zbl 07712336 Linear Algebra Appl. 674, 91-123 (2023). Reviewer: Janko Marovt (Maribor) MSC: 47B49 46B40 PDFBibTeX XMLCite \textit{Z. E. A. Abdelali} and \textit{Y. El Khatiri}, Linear Algebra Appl. 674, 91--123 (2023; Zbl 07712336) Full Text: DOI
Kye, Seung-Hyeok Compositions and tensor products of linear maps between matrix algebras. (English) Zbl 1512.15016 Linear Algebra Appl. 658, 283-309 (2023). MSC: 15A30 15A69 81P15 81P42 46L05 46L07 PDFBibTeX XMLCite \textit{S.-H. Kye}, Linear Algebra Appl. 658, 283--309 (2023; Zbl 1512.15016) Full Text: DOI arXiv
Ghiglioni, Eduardo; Lim, Yongdo The Karcher mean of equilateral triangles. (English) Zbl 1509.15010 Linear Algebra Appl. 656, 421-445 (2023). MSC: 15A30 15B48 15A45 15A15 53C20 PDFBibTeX XMLCite \textit{E. Ghiglioni} and \textit{Y. Lim}, Linear Algebra Appl. 656, 421--445 (2023; Zbl 1509.15010) Full Text: DOI
Muranov, Alexey Proof of Cayley-Hamilton theorem using polynomials over the algebra of module endomorphisms. (English) Zbl 1484.13025 Linear Algebra Appl. 645, 165-169 (2022). MSC: 13C10 15A15 PDFBibTeX XMLCite \textit{A. Muranov}, Linear Algebra Appl. 645, 165--169 (2022; Zbl 1484.13025) Full Text: DOI arXiv
Yoshida, Yuuya Maximum dimension of subspaces with no product basis. (English) Zbl 1464.15038 Linear Algebra Appl. 620, 228-241 (2021). MSC: 15A69 81P16 15B48 PDFBibTeX XMLCite \textit{Y. Yoshida}, Linear Algebra Appl. 620, 228--241 (2021; Zbl 1464.15038) Full Text: DOI arXiv
Liu, Wei-hui; Jin, Xiao-qing A study on T-eigenvalues of third-order tensors. (English) Zbl 1458.15020 Linear Algebra Appl. 612, 357-374 (2021). MSC: 15A18 15A69 PDFBibTeX XMLCite \textit{W.-h. Liu} and \textit{X.-q. Jin}, Linear Algebra Appl. 612, 357--374 (2021; Zbl 1458.15020) Full Text: DOI
Daza-García, Alberto; Elduque, Alberto; Tang, Liming Cross products, automorphisms, and gradings. (English) Zbl 1518.17007 Linear Algebra Appl. 610, 227-256 (2021). Reviewer: Alexandre P. Pojidaev (Novosibirsk) MSC: 17A42 17A30 17A36 20B27 20G15 14L17 15A69 PDFBibTeX XMLCite \textit{A. Daza-García} et al., Linear Algebra Appl. 610, 227--256 (2021; Zbl 1518.17007) Full Text: DOI arXiv
Kalantarova, Nargiz; Tunçel, Levent On the spectral structure of Jordan-Kronecker products of symmetric and skew-symmetric matrices. (English) Zbl 1464.15016 Linear Algebra Appl. 608, 343-362 (2021). Reviewer: Giovanni Barbarino (Helsinki) MSC: 15A18 15A69 PDFBibTeX XMLCite \textit{N. Kalantarova} and \textit{L. Tunçel}, Linear Algebra Appl. 608, 343--362 (2021; Zbl 1464.15016) Full Text: DOI arXiv
Hwang, Jinmi; Kim, Sejong Tensor product and Hadamard product for the Wasserstein means. (English) Zbl 1448.15048 Linear Algebra Appl. 603, 496-507 (2020). MSC: 15B57 15A69 47A64 PDFBibTeX XMLCite \textit{J. Hwang} and \textit{S. Kim}, Linear Algebra Appl. 603, 496--507 (2020; Zbl 1448.15048) Full Text: DOI arXiv
Kribs, David W.; Mintah, Comfort; Nathanson, Michael; Pereira, Rajesh Vector representations of graphs and distinguishing quantum product states with one-way LOCC. (English) Zbl 1501.47121 Linear Algebra Appl. 602, 223-239 (2020). Reviewer: Delio Mugnolo (Hagen) MSC: 47L90 46B28 81P15 81P45 81R15 PDFBibTeX XMLCite \textit{D. W. Kribs} et al., Linear Algebra Appl. 602, 223--239 (2020; Zbl 1501.47121) Full Text: DOI arXiv
Deng, Chunli; Yao, Hongmei; Bu, Changjiang The bounds on spectral radius of nonnegative tensors via general product of tensors. (English) Zbl 1441.15016 Linear Algebra Appl. 602, 206-215 (2020). MSC: 15A69 15A18 15A21 PDFBibTeX XMLCite \textit{C. Deng} et al., Linear Algebra Appl. 602, 206--215 (2020; Zbl 1441.15016) Full Text: DOI
Malik, Osman Asif; Becker, Stephen Guarantees for the Kronecker fast Johnson-Lindenstrauss transform using a coherence and sampling argument. (English) Zbl 1444.15009 Linear Algebra Appl. 602, 120-137 (2020). Reviewer: Tin Yau Tam (Reno) MSC: 15A45 15A69 15A04 65F35 PDFBibTeX XMLCite \textit{O. A. Malik} and \textit{S. Becker}, Linear Algebra Appl. 602, 120--137 (2020; Zbl 1444.15009) Full Text: DOI arXiv
Shen, Jihong; Wang, Yue; Bu, Changjiang Some inequalities on the minimum H-eigenvalue of the Fan product of \(\mathcal{Z}\)-tensors. (English) Zbl 1419.15021 Linear Algebra Appl. 579, 55-71 (2019). MSC: 15A69 15A18 PDFBibTeX XMLCite \textit{J. Shen} et al., Linear Algebra Appl. 579, 55--71 (2019; Zbl 1419.15021) Full Text: DOI
Gau, Hwa-Long; Lu, Yueh-Hua Extremality of numerical radii of tensor products of matrices. (English) Zbl 1411.15011 Linear Algebra Appl. 565, 82-98 (2019). MSC: 15A60 15A69 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{Y.-H. Lu}, Linear Algebra Appl. 565, 82--98 (2019; Zbl 1411.15011) Full Text: DOI
Bapat, Ravindra B.; Kurata, Hiroshi On Cartesian product of Euclidean distance matrices. (English) Zbl 1447.15023 Linear Algebra Appl. 562, 135-153 (2019). Reviewer: Ignat Domanov (Kortrijk) MSC: 15A69 15A09 05C50 05C05 51K05 PDFBibTeX XMLCite \textit{R. B. Bapat} and \textit{H. Kurata}, Linear Algebra Appl. 562, 135--153 (2019; Zbl 1447.15023) Full Text: DOI
Müller-Hermes, Alexander; Nechita, Ion Operator Schmidt ranks of bipartite unitary matrices. (English) Zbl 1401.15025 Linear Algebra Appl. 557, 174-187 (2018). MSC: 15A69 15A03 PDFBibTeX XMLCite \textit{A. Müller-Hermes} and \textit{I. Nechita}, Linear Algebra Appl. 557, 174--187 (2018; Zbl 1401.15025) Full Text: DOI arXiv
Hardy, Yorick; Fošner, Ajda Linear maps preserving Kronecker quotients. (English) Zbl 1396.15023 Linear Algebra Appl. 556, 200-209 (2018). MSC: 15A86 15A69 PDFBibTeX XMLCite \textit{Y. Hardy} and \textit{A. Fošner}, Linear Algebra Appl. 556, 200--209 (2018; Zbl 1396.15023) Full Text: DOI
Zhang, Yun Some spectral norm inequalities on Hadamard products of nonnegative matrices. (English) Zbl 1395.15016 Linear Algebra Appl. 556, 162-170 (2018). MSC: 15A60 15A18 15A69 15B48 PDFBibTeX XMLCite \textit{Y. Zhang}, Linear Algebra Appl. 556, 162--170 (2018; Zbl 1395.15016) Full Text: DOI
Christandl, Matthias; Jensen, Asger Kjærulff; Zuiddam, Jeroen Tensor rank is not multiplicative under the tensor product. (English) Zbl 1382.15038 Linear Algebra Appl. 543, 125-139 (2018). MSC: 15A69 15A03 81P45 PDFBibTeX XMLCite \textit{M. Christandl} et al., Linear Algebra Appl. 543, 125--139 (2018; Zbl 1382.15038) Full Text: DOI arXiv Link
Chen, Lin; Friedland, Shmuel The tensor rank of tensor product of two three-qubit W states is eight. (English) Zbl 1382.15037 Linear Algebra Appl. 543, 1-16 (2018). MSC: 15A69 15A03 PDFBibTeX XMLCite \textit{L. Chen} and \textit{S. Friedland}, Linear Algebra Appl. 543, 1--16 (2018; Zbl 1382.15037) Full Text: DOI arXiv
Xie, Ze-Jia; Cheng, Che-Man; Jin, Xiao-Qing Some norm inequalities for commutators of contracted tensor products. (English) Zbl 1380.15015 Linear Algebra Appl. 540, 244-256 (2018). MSC: 15A45 15A69 15A60 PDFBibTeX XMLCite \textit{Z.-J. Xie} et al., Linear Algebra Appl. 540, 244--256 (2018; Zbl 1380.15015) Full Text: DOI
Sharma, Rajesh; Devi, P.; Kumari, R. A note on inequalities for positive linear maps. (English) Zbl 1398.15019 Linear Algebra Appl. 528, 113-123 (2017). MSC: 15A45 15A42 46L53 PDFBibTeX XMLCite \textit{R. Sharma} et al., Linear Algebra Appl. 528, 113--123 (2017; Zbl 1398.15019) Full Text: DOI
Chmieliński, Jacek; Stypuła, Tomasz; Wójcik, Paweł Approximate orthogonality in normed spaces and its applications. (English) Zbl 1383.46013 Linear Algebra Appl. 531, 305-317 (2017). MSC: 46B20 46B28 46C05 46C50 PDFBibTeX XMLCite \textit{J. Chmieliński} et al., Linear Algebra Appl. 531, 305--317 (2017; Zbl 1383.46013) Full Text: DOI
Warrington, Gregory S. Orthogonal bases for transportation polytopes applied to Latin squares, magic squares and sudoku boards. (English) Zbl 1373.15005 Linear Algebra Appl. 531, 285-304 (2017). MSC: 15A03 05B15 52B12 15A69 PDFBibTeX XMLCite \textit{G. S. Warrington}, Linear Algebra Appl. 531, 285--304 (2017; Zbl 1373.15005) Full Text: DOI arXiv
Brešar, Matej Derivations of tensor products of nonassociative algebras. (English) Zbl 1368.17002 Linear Algebra Appl. 530, 244-252 (2017). MSC: 17A36 15A69 PDFBibTeX XMLCite \textit{M. Brešar}, Linear Algebra Appl. 530, 244--252 (2017; Zbl 1368.17002) Full Text: DOI
Lomadze, Vakhtang On the reduction of high order linear PDEs to first order. (English) Zbl 1368.93111 Linear Algebra Appl. 530, 1-14 (2017). MSC: 93B25 93C05 93C20 PDFBibTeX XMLCite \textit{V. Lomadze}, Linear Algebra Appl. 530, 1--14 (2017; Zbl 1368.93111) Full Text: DOI
Xu, Jinli; Fošner, Ajda; Zheng, Baodong; Ding, Yuting Linear maps preserving \(r\)-potents of tensor products of matrices. (English) Zbl 1359.15023 Linear Algebra Appl. 520, 67-76 (2017). MSC: 15A86 15A69 81P45 PDFBibTeX XMLCite \textit{J. Xu} et al., Linear Algebra Appl. 520, 67--76 (2017; Zbl 1359.15023) Full Text: DOI
Lau, Jinting; Lim, Ming Huat Additive decomposability preservers and related results on tensor products of matrices. (English) Zbl 1358.15018 Linear Algebra Appl. 519, 54-72 (2017). MSC: 15A69 15A86 15A03 PDFBibTeX XMLCite \textit{J. Lau} and \textit{M. H. Lim}, Linear Algebra Appl. 519, 54--72 (2017; Zbl 1358.15018) Full Text: DOI
D’Angeli, Daniele; Donno, Alfredo Wreath product of matrices. (English) Zbl 1391.15083 Linear Algebra Appl. 513, 276-303 (2017). MSC: 15A69 05C50 05C76 05C81 15A18 PDFBibTeX XMLCite \textit{D. D'Angeli} and \textit{A. Donno}, Linear Algebra Appl. 513, 276--303 (2017; Zbl 1391.15083) Full Text: DOI arXiv
Duffner, M. Antónia; da Cruz, Henrique F. Rank nonincreasing linear maps preserving the determinant of tensor product of matrices. (English) Zbl 1352.15001 Linear Algebra Appl. 510, 186-191 (2016). MSC: 15A03 15A69 PDFBibTeX XMLCite \textit{M. A. Duffner} and \textit{H. F. da Cruz}, Linear Algebra Appl. 510, 186--191 (2016; Zbl 1352.15001) Full Text: DOI
Chō, Muneo; Gu, Caixing; Lee, Woo Young Elementary properties of isometries on a Hilbert space. (English) Zbl 1356.47023 Linear Algebra Appl. 511, 378-402 (2016). MSC: 47A65 47A45 PDFBibTeX XMLCite \textit{M. Chō} et al., Linear Algebra Appl. 511, 378--402 (2016; Zbl 1356.47023) Full Text: DOI
Shao, Jiayu; You, Lihua On some properties of three different types of triangular blocked tensors. (English) Zbl 1352.15029 Linear Algebra Appl. 511, 110-140 (2016). MSC: 15A69 15A15 15A09 15A18 PDFBibTeX XMLCite \textit{J. Shao} and \textit{L. You}, Linear Algebra Appl. 511, 110--140 (2016; Zbl 1352.15029) Full Text: DOI arXiv
Huang, Zejun; Shi, Shiyu; Sze, Nung-Sing Linear rank preservers of tensor products of rank one matrices. (English) Zbl 1344.15002 Linear Algebra Appl. 508, 255-271 (2016). MSC: 15A03 15A69 PDFBibTeX XMLCite \textit{Z. Huang} et al., Linear Algebra Appl. 508, 255--271 (2016; Zbl 1344.15002) Full Text: DOI arXiv
Lee, Hosoo; Kim, Sejong The Hadamard product for the weighted Karcher means. (English) Zbl 1334.15088 Linear Algebra Appl. 501, 290-303 (2016). MSC: 15B48 15A69 PDFBibTeX XMLCite \textit{H. Lee} and \textit{S. Kim}, Linear Algebra Appl. 501, 290--303 (2016; Zbl 1334.15088) Full Text: DOI
Gau, Hwa-Long; Wu, Pei Yuan Extremality of numerical radii of matrix products. (English) Zbl 1334.15056 Linear Algebra Appl. 501, 17-36 (2016). MSC: 15A60 15A27 PDFBibTeX XMLCite \textit{H.-L. Gau} and \textit{P. Y. Wu}, Linear Algebra Appl. 501, 17--36 (2016; Zbl 1334.15056) Full Text: DOI
Liu, Weihui; Li, Wen On the inverse of a tensor. (English) Zbl 1333.15013 Linear Algebra Appl. 495, 199-205 (2016). MSC: 15A69 15A09 15A21 PDFBibTeX XMLCite \textit{W. Liu} and \textit{W. Li}, Linear Algebra Appl. 495, 199--205 (2016; Zbl 1333.15013) Full Text: DOI
Fan, H.-Y.; Zhang, L.; Chu, E. K.-w.; Wei, Y. Q-less QR decomposition in inner product spaces. (English) Zbl 1391.65102 Linear Algebra Appl. 491, 292-316 (2016). MSC: 65F25 15A24 15A30 15A69 15A72 65F10 PDFBibTeX XMLCite \textit{H. Y. Fan} et al., Linear Algebra Appl. 491, 292--316 (2016; Zbl 1391.65102) Full Text: DOI
Chen, Sheng; Liang, Li; Tian, Yunbo The number of connected components in a graph associated with a rectangular \((0,1)\)-matrix. (English) Zbl 1325.05097 Linear Algebra Appl. 487, 74-85 (2015). MSC: 05C40 05B20 15A18 15A24 PDFBibTeX XMLCite \textit{S. Chen} et al., Linear Algebra Appl. 487, 74--85 (2015; Zbl 1325.05097) Full Text: DOI
Yao, Hongmei; Liu, Lei; Bu, Changjiang Tensors product and hyperdeterminant of boundary formats product. (English) Zbl 1329.15024 Linear Algebra Appl. 483, 1-20 (2015). MSC: 15A15 15A69 PDFBibTeX XMLCite \textit{H. Yao} et al., Linear Algebra Appl. 483, 1--20 (2015; Zbl 1329.15024) Full Text: DOI
an Huef, Astrid; Raeburn, Iain; Tolich, Ilija Structure theorems for star-commuting power partial isometries. (English) Zbl 1316.47011 Linear Algebra Appl. 481, 107-114 (2015). MSC: 47A45 47A65 PDFBibTeX XMLCite \textit{A. an Huef} et al., Linear Algebra Appl. 481, 107--114 (2015; Zbl 1316.47011) Full Text: DOI arXiv
Lavrauw, Michel; Sheekey, John Canonical forms of \(2 \times 3 \times 3\) tensors over the real field, algebraically closed fields, and finite fields. (English) Zbl 1314.05029 Linear Algebra Appl. 476, 133-147 (2015). MSC: 05B25 15A69 51E20 PDFBibTeX XMLCite \textit{M. Lavrauw} and \textit{J. Sheekey}, Linear Algebra Appl. 476, 133--147 (2015; Zbl 1314.05029) Full Text: DOI arXiv
Zheng, Baodong; Xu, Jinli; Fošner, Ajda Linear maps preserving idempotents of tensor products of matrices. (English) Zbl 1309.15046 Linear Algebra Appl. 470, 25-39 (2015). MSC: 15A86 15A69 PDFBibTeX XMLCite \textit{B. Zheng} et al., Linear Algebra Appl. 470, 25--39 (2015; Zbl 1309.15046) Full Text: DOI
Yuan, Pingzhi; You, Lihua On the similarity of tensors. (English) Zbl 1294.15016 Linear Algebra Appl. 458, 534-541 (2014). MSC: 15A69 15A72 05C65 PDFBibTeX XMLCite \textit{P. Yuan} and \textit{L. You}, Linear Algebra Appl. 458, 534--541 (2014; Zbl 1294.15016) Full Text: DOI arXiv
Yuan, Pingzhi; He, Zilong; You, Lihua A conjecture on the primitive degree of tensors. (English) Zbl 1288.15030 Linear Algebra Appl. 450, 175-185 (2014). MSC: 15A69 PDFBibTeX XMLCite \textit{P. Yuan} et al., Linear Algebra Appl. 450, 175--185 (2014; Zbl 1288.15030) Full Text: DOI arXiv
De Marchi, Stefano; Usevich, Konstantin On certain multivariate Vandermonde determinants whose variables separate. (English) Zbl 1303.15008 Linear Algebra Appl. 449, 17-27 (2014). MSC: 15A15 15B99 41A05 PDFBibTeX XMLCite \textit{S. De Marchi} and \textit{K. Usevich}, Linear Algebra Appl. 449, 17--27 (2014; Zbl 1303.15008) Full Text: DOI arXiv
Bu, Changjiang; Zhang, Xu; Zhou, Jiang; Wang, Wenzhe; Wei, Yimin The inverse, rank and product of tensors. (English) Zbl 1286.15030 Linear Algebra Appl. 446, 269-280 (2014). MSC: 15A69 15A09 15A03 05C65 PDFBibTeX XMLCite \textit{C. Bu} et al., Linear Algebra Appl. 446, 269--280 (2014; Zbl 1286.15030) Full Text: DOI
Hardy, Yorick; Fošner, Ajda; Steeb, Willi-Hans Cayley transform and the Kronecker product of Hermitian matrices. (English) Zbl 1283.15006 Linear Algebra Appl. 439, No. 12, 4023-4031 (2013). MSC: 15A04 15B57 15A69 PDFBibTeX XMLCite \textit{Y. Hardy} et al., Linear Algebra Appl. 439, No. 12, 4023--4031 (2013; Zbl 1283.15006) Full Text: DOI arXiv
Shao, Jia-Yu; Shan, Hai-Ying; Zhang, Li On some properties of the determinants of tensors. (English) Zbl 1283.15030 Linear Algebra Appl. 439, No. 10, 3057-3069 (2013). MSC: 15A15 15A69 15A21 PDFBibTeX XMLCite \textit{J.-Y. Shao} et al., Linear Algebra Appl. 439, No. 10, 3057--3069 (2013; Zbl 1283.15030) Full Text: DOI
Konstantopoulos, Takis A multilinear algebra proof of the Cauchy-Binet formula and a multilinear version of Parseval’s identity. (English) Zbl 1283.15028 Linear Algebra Appl. 439, No. 9, 2651-2658 (2013). MSC: 15A15 15A69 15A24 46C05 PDFBibTeX XMLCite \textit{T. Konstantopoulos}, Linear Algebra Appl. 439, No. 9, 2651--2658 (2013; Zbl 1283.15028) Full Text: DOI arXiv
Shao, Jia-Yu A general product of tensors with applications. (English) Zbl 1283.15076 Linear Algebra Appl. 439, No. 8, 2350-2366 (2013). MSC: 15A69 15A18 15A21 05C50 05C65 PDFBibTeX XMLCite \textit{J.-Y. Shao}, Linear Algebra Appl. 439, No. 8, 2350--2366 (2013; Zbl 1283.15076) Full Text: DOI arXiv
Li, Chi-Kwong; Poonl, Yiu-Tung; Sze, Nung-Sing Linear preservers of tensor product of unitary orbits, and product numerical range. (English) Zbl 1281.15030 Linear Algebra Appl. 438, No. 10, 3797-3803 (2013). MSC: 15A86 15A69 15A60 15B57 PDFBibTeX XMLCite \textit{C.-K. Li} et al., Linear Algebra Appl. 438, No. 10, 3797--3803 (2013; Zbl 1281.15030) Full Text: DOI
Kubrusly, C. S. Regular lattices of tensor products. (English) Zbl 1272.47033 Linear Algebra Appl. 438, No. 1, 428-435 (2013). Reviewer: Vladimir S. Pilidi (Rostov-na-Donu) MSC: 47A80 47A53 47A46 47A15 PDFBibTeX XMLCite \textit{C. S. Kubrusly}, Linear Algebra Appl. 438, No. 1, 428--435 (2013; Zbl 1272.47033) Full Text: DOI
Regalia, Phillip A. Monotonically convergent algorithms for symmetric tensor approximation. (English) Zbl 1261.65043 Linear Algebra Appl. 438, No. 2, 875-890 (2013). Reviewer: Constantin Popa (Constanţa) MSC: 65F30 65F10 15A69 PDFBibTeX XMLCite \textit{P. A. Regalia}, Linear Algebra Appl. 438, No. 2, 875--890 (2013; Zbl 1261.65043) Full Text: DOI
Huckle, T.; Waldherr, K.; Schulte-Herbrüggen, T. Computations in quantum tensor networks. (English) Zbl 1259.81088 Linear Algebra Appl. 438, No. 2, 750-781 (2013). MSC: 81V70 81Q10 68U20 49S05 93E24 82B80 PDFBibTeX XMLCite \textit{T. Huckle} et al., Linear Algebra Appl. 438, No. 2, 750--781 (2013; Zbl 1259.81088) Full Text: DOI arXiv
Fang, Li Maximal vectors in some Hilbert spaces. (English) Zbl 1254.46027 Linear Algebra Appl. 437, No. 4, 1102-1108 (2012). MSC: 46C05 PDFBibTeX XMLCite \textit{L. Fang}, Linear Algebra Appl. 437, No. 4, 1102--1108 (2012; Zbl 1254.46027) Full Text: DOI
Günther, M.; Klotz, L. Schur’s theorem for a block Hadamard product. (English) Zbl 1247.15018 Linear Algebra Appl. 437, No. 3, 948-956 (2012). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15A45 15A27 15B48 15A15 15A69 PDFBibTeX XMLCite \textit{M. Günther} and \textit{L. Klotz}, Linear Algebra Appl. 437, No. 3, 948--956 (2012; Zbl 1247.15018) Full Text: DOI
Duggal, B. P. Tensor product of \(n\)-isometries. (English) Zbl 1295.47010 Linear Algebra Appl. 437, No. 1, 307-318 (2012). Reviewer: Dumitrŭ Popa (Constanţa) MSC: 47A80 47A10 47B47 PDFBibTeX XMLCite \textit{B. P. Duggal}, Linear Algebra Appl. 437, No. 1, 307--318 (2012; Zbl 1295.47010) Full Text: DOI
Moslehian, Mohammad Sal; Matharu, Jagjit Singh; Aujla, Jaspal Singh Non-commutative Callebaut inequality. (English) Zbl 1258.47030 Linear Algebra Appl. 436, No. 9, 3347-3353 (2012). Reviewer: Tianxuan Miao (Thunder Bay) MSC: 47A63 15A45 47A64 PDFBibTeX XMLCite \textit{M. S. Moslehian} et al., Linear Algebra Appl. 436, No. 9, 3347--3353 (2012; Zbl 1258.47030) Full Text: DOI arXiv
Matthies, Hermann G.; Zander, Elmar Solving stochastic systems with low-rank tensor compression. (English) Zbl 1241.65016 Linear Algebra Appl. 436, No. 10, 3819-3838 (2012). MSC: 65C30 60H15 60H35 35R60 65N30 65N12 65F05 65F20 PDFBibTeX XMLCite \textit{H. G. Matthies} and \textit{E. Zander}, Linear Algebra Appl. 436, No. 10, 3819--3838 (2012; Zbl 1241.65016) Full Text: DOI
Tadej, Wojciech Defect of a Kronecker product of unitary matrices. (English) Zbl 1387.15032 Linear Algebra Appl. 436, No. 7, 1924-1959 (2012). MSC: 15B10 05B20 15A23 51F25 PDFBibTeX XMLCite \textit{W. Tadej}, Linear Algebra Appl. 436, No. 7, 1924--1959 (2012; Zbl 1387.15032) Full Text: DOI arXiv Link
Duggal, Bhagwati P.; Jeon, In Ho; Kim, In Hyoun On \(\ast\)-paranormal contractions and properties for \(\ast\)-class \(A\) operators. (English) Zbl 1234.47008 Linear Algebra Appl. 436, No. 5, 954-962 (2012). MSC: 47B20 47A10 47A80 PDFBibTeX XMLCite \textit{B. P. Duggal} et al., Linear Algebra Appl. 436, No. 5, 954--962 (2012; Zbl 1234.47008) Full Text: DOI
Farenick, Douglas Arveson’s criterion for unitary similarity. (English) Zbl 1215.15011 Linear Algebra Appl. 435, No. 4, 769-777 (2011). MSC: 15A21 15A60 PDFBibTeX XMLCite \textit{D. Farenick}, Linear Algebra Appl. 435, No. 4, 769--777 (2011; Zbl 1215.15011) Full Text: DOI arXiv
Elsner, L.; Monov, V. The bialternate matrix product revisited. (English) Zbl 1211.15009 Linear Algebra Appl. 434, No. 4, 1058-1066 (2011). Reviewer: Rodica Covaci (Cluj-Napoca) MSC: 15A15 15A18 15A69 PDFBibTeX XMLCite \textit{L. Elsner} and \textit{V. Monov}, Linear Algebra Appl. 434, No. 4, 1058--1066 (2011; Zbl 1211.15009) Full Text: DOI
Lim, Ming-Huat; Tan, Sin-Chee Rank one preservers between spaces of Boolean matrices. (English) Zbl 1214.15020 Linear Algebra Appl. 434, No. 2, 526-541 (2011). Reviewer: Bojan Kuzma (Ljubljana) MSC: 15A86 15A69 15A03 06E99 15B34 PDFBibTeX XMLCite \textit{M.-H. Lim} and \textit{S.-C. Tan}, Linear Algebra Appl. 434, No. 2, 526--541 (2011; Zbl 1214.15020) Full Text: DOI
Tie, Lin; Cai, Kai-Yuan; Lin, Yan Rearrangement inequalities for Hermitian matrices. (English) Zbl 1210.15022 Linear Algebra Appl. 434, No. 2, 443-456 (2011). Reviewer: Valeriu Prepeliţă (Bucureşti) MSC: 15A45 15B57 15A15 15A69 PDFBibTeX XMLCite \textit{L. Tie} et al., Linear Algebra Appl. 434, No. 2, 443--456 (2011; Zbl 1210.15022) Full Text: DOI
Puchała, Zbigniew; Gawron, Piotr; Miszczak, Jarosław Adam; Skowronek, Łukasz; Choi, Man-Duen; Życzkowski, Karol Product numerical range in a space with tensor product structure. (English) Zbl 1207.15025 Linear Algebra Appl. 434, No. 1, 327-342 (2011). Reviewer: Pei Yuan Wu (Hsinchu) MSC: 15A60 15A69 47A12 15A18 15B57 PDFBibTeX XMLCite \textit{Z. Puchała} et al., Linear Algebra Appl. 434, No. 1, 327--342 (2011; Zbl 1207.15025) Full Text: DOI arXiv
Hu, Jianhua Equivalent conditions for noncentral generalized Laplacianness and independence of matrix quadratic forms. (English) Zbl 1195.15025 Linear Algebra Appl. 433, No. 4, 796-809 (2010). Reviewer: Erich W. Ellers (Toronto) MSC: 15A63 62H10 62H15 15A69 15B52 PDFBibTeX XMLCite \textit{J. Hu}, Linear Algebra Appl. 433, No. 4, 796--809 (2010; Zbl 1195.15025) Full Text: DOI
Pate, Thomas H. Lower bound inequalities for norms of symmetrized tensor powers. (English) Zbl 1184.15018 Linear Algebra Appl. 432, No. 1, 116-133 (2010). Reviewer: Qing-Wen Wang (Shanghai) MSC: 15A45 15A63 15B57 15A69 15A60 15A42 PDFBibTeX XMLCite \textit{T. H. Pate}, Linear Algebra Appl. 432, No. 1, 116--133 (2010; Zbl 1184.15018) Full Text: DOI
Feng, Jun-E; Lam, James; Wei, Yimin Spectral properties of sums of certain Kronecker products. (English) Zbl 1191.15007 Linear Algebra Appl. 431, No. 9, 1691-1701 (2009). Reviewer: Erik Darpö (Oxford) MSC: 15A18 15A69 PDFBibTeX XMLCite \textit{J.-E Feng} et al., Linear Algebra Appl. 431, No. 9, 1691--1701 (2009; Zbl 1191.15007) Full Text: DOI
Oseledets, Ivan; Tyrtyshnikov, Eugene; Zamarashkin, Nickolai Matrix inversion cases with size-independent tensor rank estimates. (English) Zbl 1180.15005 Linear Algebra Appl. 431, No. 5-7, 558-570 (2009). Reviewer: Hans Havlicek (Wien) MSC: 15A09 15A69 15A03 PDFBibTeX XMLCite \textit{I. Oseledets} et al., Linear Algebra Appl. 431, No. 5--7, 558--570 (2009; Zbl 1180.15005) Full Text: DOI
Lim, Ming-Huat Linear rank one preservers between spaces of matrices with zero trace. (English) Zbl 1170.15001 Linear Algebra Appl. 430, No. 11-12, 2982-2996 (2009). Reviewer: Bojan Kuzma (Ljubljana) MSC: 15A04 15A69 15A03 PDFBibTeX XMLCite \textit{M.-H. Lim}, Linear Algebra Appl. 430, No. 11--12, 2982--2996 (2009; Zbl 1170.15001) Full Text: DOI
Yang, Zhongpeng; Liu, Shuangzhe; Trenkler, Götz Further inequalities involving the Khatri-Rao product. (English) Zbl 1179.15022 Linear Algebra Appl. 430, No. 10, 2696-2704 (2009). Reviewer: Václav Burjan (Praha) MSC: 15A45 15A69 15B48 15B57 PDFBibTeX XMLCite \textit{Z. Yang} et al., Linear Algebra Appl. 430, No. 10, 2696--2704 (2009; Zbl 1179.15022) Full Text: DOI
Tanaka, Hajime A note on the span of Hadamard products of vectors. (English) Zbl 1157.15032 Linear Algebra Appl. 430, No. 2-3, 865-867 (2009). Reviewer: Grozio Stanilov (Sofia) MSC: 15A69 15A03 PDFBibTeX XMLCite \textit{H. Tanaka}, Linear Algebra Appl. 430, No. 2--3, 865--867 (2009; Zbl 1157.15032) Full Text: DOI arXiv
Bai, Ruipu; An, Hongwei; Li, Zhenheng Centroid structures of \(n\)-Lie algebras. (English) Zbl 1221.17004 Linear Algebra Appl. 430, No. 1, 229-240 (2009). MSC: 17A42 17B99 17A36 PDFBibTeX XMLCite \textit{R. Bai} et al., Linear Algebra Appl. 430, No. 1, 229--240 (2009; Zbl 1221.17004) Full Text: DOI
Pate, Thomas H. Twisted inner products and contraction inequalities on spaces of contravariant and covariant tensors. (English) Zbl 1156.15017 Linear Algebra Appl. 429, No. 7, 1489-1503 (2008). Reviewer: Jayme Vaz (Campinas) MSC: 15A69 15A63 15A45 PDFBibTeX XMLCite \textit{T. H. Pate}, Linear Algebra Appl. 429, No. 7, 1489--1503 (2008; Zbl 1156.15017) Full Text: DOI
Wu, Junliang; Zou, Limin; Chen, Xiangping; Li, Shengjie The estimation of eigenvalues of sum, difference, and tensor product of matrices over quaternion division algebra. (English) Zbl 1142.15013 Linear Algebra Appl. 428, No. 11-12, 3023-3033 (2008). Reviewer: Yueh-er Kuo (Knoxville) MSC: 15A42 15B33 15A21 15A69 PDFBibTeX XMLCite \textit{J. Wu} et al., Linear Algebra Appl. 428, No. 11--12, 3023--3033 (2008; Zbl 1142.15013) Full Text: DOI
Sendov, Hristo S. The higher-order derivatives of spectral functions. (English) Zbl 1126.49039 Linear Algebra Appl. 424, No. 1, 240-281 (2007). MSC: 49R50 47A75 PDFBibTeX XMLCite \textit{H. S. Sendov}, Linear Algebra Appl. 424, No. 1, 240--281 (2007; Zbl 1126.49039) Full Text: DOI arXiv
Dahl, Geir; Leinaas, Jon Magne; Myrheim, Jan; Ovrum, Eirik A tensor product matrix approximation problem in quantum physics. (English) Zbl 1118.15027 Linear Algebra Appl. 420, No. 2-3, 711-725 (2007). MSC: 15A90 15A69 52A41 90C25 65F30 PDFBibTeX XMLCite \textit{G. Dahl} et al., Linear Algebra Appl. 420, No. 2--3, 711--725 (2007; Zbl 1118.15027) Full Text: DOI Link
Tadej, Wojciech Permutation equivalence classes of Kronecker products of unitary Fourier matrices. (English) Zbl 1106.65124 Linear Algebra Appl. 418, No. 2-3, 719-736 (2006). Reviewer: Manfred Tasche (Rostock) MSC: 65T50 15A69 PDFBibTeX XMLCite \textit{W. Tadej}, Linear Algebra Appl. 418, No. 2--3, 719--736 (2006; Zbl 1106.65124) Full Text: DOI arXiv
Huhtanen, Marko Real linear Kronecker product operations. (English) Zbl 1104.15021 Linear Algebra Appl. 418, No. 1, 347-361 (2006). Reviewer: Václav Burjan (Praha) MSC: 15A69 65F10 65F35 15A23 PDFBibTeX XMLCite \textit{M. Huhtanen}, Linear Algebra Appl. 418, No. 1, 347--361 (2006; Zbl 1104.15021) Full Text: DOI
Wu, Yaokun; Deng, Aiping Hoffman polynomials of nonnegative irreducible matrices and strongly connected digraphs. (English) Zbl 1083.05030 Linear Algebra Appl. 414, No. 1, 138-171 (2006). MSC: 05C50 15A24 05C20 PDFBibTeX XMLCite \textit{Y. Wu} and \textit{A. Deng}, Linear Algebra Appl. 414, No. 1, 138--171 (2006; Zbl 1083.05030) Full Text: DOI
Dirr, G.; Helmke, U.; Kleinsteuber, M. Lie algebra representations, nilpotent matrices, and the \(C\)-numerical range. (English) Zbl 1089.15027 Linear Algebra Appl. 413, No. 2-3, 534-566 (2006). Reviewer: Alexey Alimov (Moskva) MSC: 15A60 15A21 17B10 15A90 81P68 PDFBibTeX XMLCite \textit{G. Dirr} et al., Linear Algebra Appl. 413, No. 2--3, 534--566 (2006; Zbl 1089.15027) Full Text: DOI
Zhang, Xian; Cao, Chong-Guang Linear \(k\)-power/\(k\)-potent preservers between matrix spaces. (English) Zbl 1084.15009 Linear Algebra Appl. 412, No. 2-3, 373-379 (2006). Reviewer: Bojan Kuzma (Ljubljana) MSC: 15A04 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{C.-G. Cao}, Linear Algebra Appl. 412, No. 2--3, 373--379 (2006; Zbl 1084.15009) Full Text: DOI
Olshevsky, Vadim; Oseledets, Ivan; Tyrtyshnikov, Eugene Tensor properties of multilevel Toeplitz and related matrices. (English) Zbl 1082.15044 Linear Algebra Appl. 412, No. 1, 1-21 (2006). Reviewer: Yueh-er Kuo (Knoxville) MSC: 15A69 15A12 15B57 65F30 15A09 PDFBibTeX XMLCite \textit{V. Olshevsky} et al., Linear Algebra Appl. 412, No. 1, 1--21 (2006; Zbl 1082.15044) Full Text: DOI
Lim, Ming-Huat Rank-one nonincreasing additive mappings on second symmetric product spaces. (English) Zbl 1084.15008 Linear Algebra Appl. 402, 263-271 (2005). Reviewer: Jaroslav Zemánek (Warszawa) MSC: 15A04 15A03 15A69 PDFBibTeX XMLCite \textit{M.-H. Lim}, Linear Algebra Appl. 402, 263--271 (2005; Zbl 1084.15008) Full Text: DOI
Dias da Silva, J. A.; da Cruz, Henrique F. Equality of immanantal decomposable tensors. (English) Zbl 1073.15025 Linear Algebra Appl. 401, 29-46 (2005). Reviewer: Yueh-er Kuo (Knoxville) MSC: 15A69 PDFBibTeX XMLCite \textit{J. A. Dias da Silva} and \textit{H. F. da Cruz}, Linear Algebra Appl. 401, 29--46 (2005; Zbl 1073.15025) Full Text: DOI
Edwards, Roderick; Mcdonald, Judith J.; Tsatsomeros, Michael J. On matrices with common invariant cones with applications in neural and gene networks. (English) Zbl 1070.15017 Linear Algebra Appl. 398, 37-67 (2005). Reviewer: Yueh-er Kuo (Knoxville) MSC: 15B48 92B20 15A75 PDFBibTeX XMLCite \textit{R. Edwards} et al., Linear Algebra Appl. 398, 37--67 (2005; Zbl 1070.15017) Full Text: DOI
Pihlak, Margus Matrix integral. (English) Zbl 1059.15034 Linear Algebra Appl. 388, 315-325 (2004). Reviewer: Yueh-er Kuo (Knoxville) MSC: 15A69 PDFBibTeX XMLCite \textit{M. Pihlak}, Linear Algebra Appl. 388, 315--325 (2004; Zbl 1059.15034) Full Text: DOI
Ando, T. Cones and norms in the tensor product of matrix spaces. (English) Zbl 1041.15021 Linear Algebra Appl. 379, 3-41 (2004). Reviewer: Alexey Alimov (Moskva) MSC: 15A60 15B48 15A30 15A69 PDFBibTeX XMLCite \textit{T. Ando}, Linear Algebra Appl. 379, 3--41 (2004; Zbl 1041.15021) Full Text: DOI
Hou, Xiang-Dong Elementary divisors of tensor products and \(p\)-ranks of binomial matrices. (English) Zbl 1034.15010 Linear Algebra Appl. 374, 255-274 (2003). Reviewer: Fuad Kittaneh (Amman) MSC: 15A69 15A21 PDFBibTeX XMLCite \textit{X.-D. Hou}, Linear Algebra Appl. 374, 255--274 (2003; Zbl 1034.15010) Full Text: DOI
Cheon, Gi-Sang; Hwang, Suk-Geun; Shader, Bryan L.; Song, Seok-Zun Permanents of woven matrices. (English) Zbl 1020.15006 Linear Algebra Appl. 364, 223-233 (2003). Reviewer: Alexander Kovačec (Coimbra) MSC: 15A15 05C50 05B20 15B36 PDFBibTeX XMLCite \textit{G.-S. Cheon} et al., Linear Algebra Appl. 364, 223--233 (2003; Zbl 1020.15006) Full Text: DOI
Pittenger, Arthur O. Unextendible product bases and the construction of inseparable states. (English) Zbl 1017.15011 Linear Algebra Appl. 359, No. 1-3, 235-248 (2003). Reviewer: Yueh-er Kuo (Knoxville) MSC: 15A69 PDFBibTeX XMLCite \textit{A. O. Pittenger}, Linear Algebra Appl. 359, No. 1--3, 235--248 (2003; Zbl 1017.15011) Full Text: DOI arXiv
Pittenger, Arthur O.; Rubin, Morton H. Convexity and the separability problem of quantum mechanical density matrices. (English) Zbl 0999.15032 Linear Algebra Appl. 346, No. 1-3, 47-71 (2002). Reviewer: Yueh-er Kuo (Knoxville) MSC: 15A69 15A90 PDFBibTeX XMLCite \textit{A. O. Pittenger} and \textit{M. H. Rubin}, Linear Algebra Appl. 346, No. 1--3, 47--71 (2002; Zbl 0999.15032) Full Text: DOI arXiv
Fernandes, Rosário On the kernel of the derivation operator. (English) Zbl 1043.15026 Linear Algebra Appl. 337, No. 1-3, 121-138 (2001). Reviewer: Prem Narain (Faridabad) MSC: 15A69 15A04 PDFBibTeX XMLCite \textit{R. Fernandes}, Linear Algebra Appl. 337, No. 1--3, 121--138 (2001; Zbl 1043.15026) Full Text: DOI
Zhang, Fuzhen Schur complements and matrix inequalities in the Löwner ordering. (English) Zbl 0977.15008 Linear Algebra Appl. 321, No. 1-3, 399-410 (2000). Reviewer: Yueh-er Kuo (Knoxville) MSC: 15A45 15B48 15A69 PDFBibTeX XMLCite \textit{F. Zhang}, Linear Algebra Appl. 321, No. 1--3, 399--410 (2000; Zbl 0977.15008) Full Text: DOI
Harville, David A. Simple derivations for two Jacobians of basic importance in multivariate statistics. (English) Zbl 1157.62408 Linear Algebra Appl. 321, No. 1-3, 145-152 (2000). MSC: 62H05 15A04 15A69 PDFBibTeX XMLCite \textit{D. A. Harville}, Linear Algebra Appl. 321, No. 1--3, 145--152 (2000; Zbl 1157.62408) Full Text: DOI
Liu, Shuangzhe Matrix results on the Khatri-Rao and Tracy-Singh products. (English) Zbl 0937.15015 Linear Algebra Appl. 289, No. 1-3, 267-277 (1999). Reviewer: Robert Guralnick (Los Angeles) MSC: 15A45 15A30 15A69 PDFBibTeX XMLCite \textit{S. Liu}, Linear Algebra Appl. 289, No. 1--3, 267--277 (1999; Zbl 0937.15015) Full Text: DOI
Plestenjak, Bor A numerical algorithm for computing a basis for the root subspace at a nonderogatory eigenvalue of a multiparameter system. (English) Zbl 0936.65041 Linear Algebra Appl. 285, No. 1-3, 257-276 (1998). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{B. Plestenjak}, Linear Algebra Appl. 285, No. 1--3, 257--276 (1998; Zbl 0936.65041) Full Text: DOI
Moreno Galindo, A.; Rodríguez Palacios, A. Algebra norms on tensor products of algebras, and the norm extension problem. (English) Zbl 0887.15031 Linear Algebra Appl. 269, 257-305 (1998). Reviewer: Chen Zhijie (Shanghai) MSC: 15A69 15A30 PDFBibTeX XMLCite \textit{A. Moreno Galindo} and \textit{A. Rodríguez Palacios}, Linear Algebra Appl. 269, 257--305 (1998; Zbl 0887.15031) Full Text: DOI