Massey, Pedro Admissible subspaces and the subspace iteration method. (English) Zbl 07813312 BIT 64, No. 1, Paper No. 12, 36 p. (2024). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{P. Massey}, BIT 64, No. 1, Paper No. 12, 36 p. (2024; Zbl 07813312) Full Text: DOI
Huang, Shaowu; Wang, Qing-Wen New properties of a special matrix related to positive-definite matrices. (English) Zbl 07808047 Electron. J. Linear Algebra 40, 172-176 (2024). Reviewer: Minghua Lin (Xi’an) MSC: 15A42 15A18 15B48 PDFBibTeX XMLCite \textit{S. Huang} and \textit{Q.-W. Wang}, Electron. J. Linear Algebra 40, 172--176 (2024; Zbl 07808047) Full Text: DOI
Farnè, Matteo; Montanari, Angela Large factor model estimation by nuclear norm plus \(\ell_1\) norm penalization. (English) Zbl 07783453 J. Multivariate Anal. 199, Article ID 105244, 22 p. (2024). MSC: 62Hxx 62H25 65F55 15A18 PDFBibTeX XMLCite \textit{M. Farnè} and \textit{A. Montanari}, J. Multivariate Anal. 199, Article ID 105244, 22 p. (2024; Zbl 07783453) Full Text: DOI arXiv
Zhou, Ming; Argentati, Merico; Knyazev, Andrew V.; Neymeyr, Klaus Sharp majorization-type cluster robust bounds for block filters and eigensolvers. (English) Zbl 07783216 SIAM J. Matrix Anal. Appl. 44, No. 4, 1852-1878 (2023). MSC: 65F15 65N12 65N25 PDFBibTeX XMLCite \textit{M. Zhou} et al., SIAM J. Matrix Anal. Appl. 44, No. 4, 1852--1878 (2023; Zbl 07783216) Full Text: DOI arXiv
Bardhan, Bijoya; Sen, Mausumi; Sharma, Debashish Two inverse eigenvalue problems for matrices whose graphs are trees. (English) Zbl 1527.15013 AKCE Int. J. Graphs Comb. 20, No. 2, 120-124 (2023). MSC: 15A29 15A18 05C50 PDFBibTeX XMLCite \textit{B. Bardhan} et al., AKCE Int. J. Graphs Comb. 20, No. 2, 120--124 (2023; Zbl 1527.15013) Full Text: DOI
Kang, Hao Asymptotic behavior of the basic reproduction number in an age-structured SIS epidemic patch model. (English) Zbl 1522.35519 J. Math. Biol. 87, No. 3, Paper No. 46, 29 p. (2023). MSC: 35Q92 46N60 92D30 35B40 35P15 35A01 35A02 15A18 PDFBibTeX XMLCite \textit{H. Kang}, J. Math. Biol. 87, No. 3, Paper No. 46, 29 p. (2023; Zbl 1522.35519) Full Text: DOI
Seigal, Anna; Harrington, Heather A.; Nanda, Vidit Principal components along quiver representations. (English) Zbl 07735209 Found. Comput. Math. 23, No. 4, 1129-1165 (2023). Reviewer: Lucien Hennecart (Edinburgh) MSC: 16G20 15A22 15A18 PDFBibTeX XMLCite \textit{A. Seigal} et al., Found. Comput. Math. 23, No. 4, 1129--1165 (2023; Zbl 07735209) Full Text: DOI arXiv
Seeger, Alberto; Sossa, David Cone-constrained singular value problems. (English) Zbl 1528.15007 J. Convex Anal. 30, No. 4, 1285-1306 (2023). Reviewer: Ctirad Matonoha (Praha) MSC: 15A18 15A42 52A40 90C26 90C33 PDFBibTeX XMLCite \textit{A. Seeger} and \textit{D. Sossa}, J. Convex Anal. 30, No. 4, 1285--1306 (2023; Zbl 1528.15007) Full Text: Link
Jiang, Hansi; Chaudhuri, Arin A new method to improve the efficiency and accuracy of incremental singular value decomposition. (English) Zbl 1526.65012 Electron. J. Linear Algebra 39, 355-378 (2023). MSC: 65F15 15A18 15A23 68W27 PDFBibTeX XMLCite \textit{H. Jiang} and \textit{A. Chaudhuri}, Electron. J. Linear Algebra 39, 355--378 (2023; Zbl 1526.65012) Full Text: DOI Link
Ding, Xiucai; Ji, Hong Chang Spiked multiplicative random matrices and principal components. (English) Zbl 1525.15027 Stochastic Processes Appl. 163, 25-60 (2023). Reviewer: Sho Matsumoto (Kagoshima) MSC: 15B52 15A18 46L54 60B20 62H12 PDFBibTeX XMLCite \textit{X. Ding} and \textit{H. C. Ji}, Stochastic Processes Appl. 163, 25--60 (2023; Zbl 1525.15027) Full Text: DOI arXiv
Zhou, Siyun; Liu, Xin; Xu, Liwei Stochastic Gauss-Newton algorithms for online PCA. (English) Zbl 1520.65021 J. Sci. Comput. 96, No. 3, Paper No. 72, 34 p. (2023). MSC: 65F15 15A18 62H25 65C20 PDFBibTeX XMLCite \textit{S. Zhou} et al., J. Sci. Comput. 96, No. 3, Paper No. 72, 34 p. (2023; Zbl 1520.65021) Full Text: DOI arXiv
Liu, Lele; He, Changxiang The maximum principal ratio of graphs. (English) Zbl 1518.05125 Linear Multilinear Algebra 71, No. 10, 1691-1706 (2023). Reviewer: Mohammad Ali Hosseinzadeh (Āmol) MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{L. Liu} and \textit{C. He}, Linear Multilinear Algebra 71, No. 10, 1691--1706 (2023; Zbl 1518.05125) Full Text: DOI arXiv
Glivická, Jana; Sgallová, Ester; Šaroch, Jan Controlling distribution of prime sequences in discretely ordered principal ideal subrings of \(\mathbb{Q}[x]\). (English) Zbl 1517.13013 Proc. Am. Math. Soc. 151, No. 8, 3281-3290 (2023). Reviewer: Ali Benhissi (Monastir) MSC: 13F20 11N32 13F10 13F07 PDFBibTeX XMLCite \textit{J. Glivická} et al., Proc. Am. Math. Soc. 151, No. 8, 3281--3290 (2023; Zbl 1517.13013) Full Text: DOI arXiv
Auddy, Arnab; Yuan, Ming Perturbation bounds for (nearly) orthogonally decomposable tensors with statistical applications. (English) Zbl 07688061 Inf. Inference 12, No. 2, 1044-1072 (2023). MSC: 62-XX 15A69 15A18 62H25 65F25 PDFBibTeX XMLCite \textit{A. Auddy} and \textit{M. Yuan}, Inf. Inference 12, No. 2, 1044--1072 (2023; Zbl 07688061) Full Text: DOI arXiv
Arela-Pérez, S.; Lozano, Charlie; Nina, Hans; Pickmann-Soto, H.; Rodríguez, Jonnathan The new inverse eigenvalue problems for periodic and generalized periodic Jacobi matrices from their extremal spectral data. (English) Zbl 1504.15061 Linear Algebra Appl. 659, 55-72 (2023). MSC: 15A29 15A18 47B36 PDFBibTeX XMLCite \textit{S. Arela-Pérez} et al., Linear Algebra Appl. 659, 55--72 (2023; Zbl 1504.15061) Full Text: DOI
Bauer, Jan O.; Drabant, Bernhard Regression based thresholds in principal loading analysis. (English) Zbl 1520.62077 J. Multivariate Anal. 193, Article ID 105103, 10 p. (2023). MSC: 62H25 15A42 15A18 62J05 PDFBibTeX XMLCite \textit{J. O. Bauer} and \textit{B. Drabant}, J. Multivariate Anal. 193, Article ID 105103, 10 p. (2023; Zbl 1520.62077) Full Text: DOI arXiv
Ding, Xiucai; Yang, Fan Edge statistics of large dimensional deformed rectangular matrices. (English) Zbl 1498.60031 J. Multivariate Anal. 192, Article ID 105051, 22 p. (2022). MSC: 60B20 15B52 15A18 62H25 46L54 PDFBibTeX XMLCite \textit{X. Ding} and \textit{F. Yang}, J. Multivariate Anal. 192, Article ID 105051, 22 p. (2022; Zbl 1498.60031) Full Text: DOI arXiv
Liu, Lele; Hu, Shengming; He, Changxiang Maximum principal ratio of the signless Laplacian of graphs. (English) Zbl 1497.05153 Linear Algebra Appl. 653, 339-356 (2022). MSC: 05C50 05C35 05C40 15A18 PDFBibTeX XMLCite \textit{L. Liu} et al., Linear Algebra Appl. 653, 339--356 (2022; Zbl 1497.05153) Full Text: DOI arXiv
Nishimura, Takeshi Informed principal problems in bilateral trading. (English) Zbl 1498.91261 J. Econ. Theory 204, Article ID 105498, 31 p. (2022). MSC: 91B60 PDFBibTeX XMLCite \textit{T. Nishimura}, J. Econ. Theory 204, Article ID 105498, 31 p. (2022; Zbl 1498.91261) Full Text: DOI arXiv
Kroshnin, Alexey; Stepanov, Eugene; Trevisan, Dario Infinite multidimensional scaling for metric measure spaces. (English) Zbl 07574254 ESAIM, Control Optim. Calc. Var. 28, Paper No. 58, 27 p. (2022). MSC: 62R20 47G10 15A18 62H25 PDFBibTeX XMLCite \textit{A. Kroshnin} et al., ESAIM, Control Optim. Calc. Var. 28, Paper No. 58, 27 p. (2022; Zbl 07574254) Full Text: DOI arXiv
Zhu, Hanbing; Li, Yehua; Liu, Baisen; Yao, Weixin; Zhang, Riquan Extreme quantile estimation for partial functional linear regression models with heavy-tailed distributions. (English. French summary) Zbl 1492.62089 Can. J. Stat. 50, No. 1, 267-286 (2022). MSC: 62G32 62H12 62R10 62H25 PDFBibTeX XMLCite \textit{H. Zhu} et al., Can. J. Stat. 50, No. 1, 267--286 (2022; Zbl 1492.62089) Full Text: DOI
Zadeh, Pourya Habib; Sra, Suvrit Introducing discrepancy values of matrices with application to bounding norms of commutators. (English) Zbl 1494.15022 Linear Algebra Appl. 651, 359-384 (2022). MSC: 15A60 15A27 15A18 47A30 PDFBibTeX XMLCite \textit{P. H. Zadeh} and \textit{S. Sra}, Linear Algebra Appl. 651, 359--384 (2022; Zbl 1494.15022) Full Text: DOI arXiv
Zeng, Yicheng; Zhu, Lixing Order determination for spiked type models. (English) Zbl 1524.62288 Stat. Sin. 32, No. 3, 1633-1659 (2022). MSC: 62H25 60B20 15B52 15A18 PDFBibTeX XMLCite \textit{Y. Zeng} and \textit{L. Zhu}, Stat. Sin. 32, No. 3, 1633--1659 (2022; Zbl 1524.62288) Full Text: DOI arXiv
Srinivasan, Anitha Infinitely many sign changes of the Liouville function on \(X^2+D\). (English) Zbl 1498.11197 Proc. Am. Math. Soc. 150, No. 9, 3799-3809 (2022). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11N32 11D09 11E16 11R29 PDFBibTeX XMLCite \textit{A. Srinivasan}, Proc. Am. Math. Soc. 150, No. 9, 3799--3809 (2022; Zbl 1498.11197) Full Text: DOI arXiv
Li, Kangqiang; Bao, Han; Zhang, Lixin Robust covariance estimation for distributed principal component analysis. (English) Zbl 1490.62148 Metrika 85, No. 6, 707-732 (2022). MSC: 62H25 62H12 62J10 62G32 62G35 PDFBibTeX XMLCite \textit{K. Li} et al., Metrika 85, No. 6, 707--732 (2022; Zbl 1490.62148) Full Text: DOI arXiv
Beyn, Wolf-Jürgen; Froyland, Gary; Hüls, Thorsten Angular values of nonautonomous and random linear dynamical systems. I: Fundamentals. (English) Zbl 1498.37040 SIAM J. Appl. Dyn. Syst. 21, No. 2, 1245-1286 (2022). MSC: 37C60 37H10 37A05 37A30 39A06 65Q10 15A18 PDFBibTeX XMLCite \textit{W.-J. Beyn} et al., SIAM J. Appl. Dyn. Syst. 21, No. 2, 1245--1286 (2022; Zbl 1498.37040) Full Text: DOI arXiv
Liu, Yan; Bai, Zhidong; Li, Hua; Hu, Jiang; Lv, Zhihui; Zheng, Shurong RDS free CLT for spiked eigenvalues of high-dimensional covariance matrices. (English) Zbl 1487.62066 Stat. Probab. Lett. 187, Article ID 109501, 7 p. (2022). MSC: 62H25 60B20 62E20 15A18 PDFBibTeX XMLCite \textit{Y. Liu} et al., Stat. Probab. Lett. 187, Article ID 109501, 7 p. (2022; Zbl 1487.62066) Full Text: DOI
Bao, Zhigang; Ding, Xiucai; Wang, Jingming; Wang, Ke Statistical inference for principal components of spiked covariance matrices. (English) Zbl 1486.62180 Ann. Stat. 50, No. 2, 1144-1169 (2022). MSC: 62H25 60B20 15A18 15B52 62H15 PDFBibTeX XMLCite \textit{Z. Bao} et al., Ann. Stat. 50, No. 2, 1144--1169 (2022; Zbl 1486.62180) Full Text: DOI arXiv
Pascoe, J. E.; Tully-Doyle, Ryan Monotonicity of the principal pivot transform. (English) Zbl 1490.15009 Linear Algebra Appl. 643, 161-165 (2022). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 15A10 15B48 47A56 PDFBibTeX XMLCite \textit{J. E. Pascoe} and \textit{R. Tully-Doyle}, Linear Algebra Appl. 643, 161--165 (2022; Zbl 1490.15009) Full Text: DOI arXiv
Kim, Mihyun; Kokoszka, Piotr Extremal dependence measure for functional data. (English) Zbl 1520.62428 J. Multivariate Anal. 189, Article ID 104887, 20 p. (2022). MSC: 62R10 62G32 62H25 62M10 60G70 62E20 PDFBibTeX XMLCite \textit{M. Kim} and \textit{P. Kokoszka}, J. Multivariate Anal. 189, Article ID 104887, 20 p. (2022; Zbl 1520.62428) Full Text: DOI
Fernandes, Rosário; Furtado, Susana Efficiency of the principal eigenvector of some triple perturbed consistent matrices. (English) Zbl 1490.91062 Eur. J. Oper. Res. 298, No. 3, 1007-1015 (2022). MSC: 91B06 05C40 15A18 90B50 PDFBibTeX XMLCite \textit{R. Fernandes} and \textit{S. Furtado}, Eur. J. Oper. Res. 298, No. 3, 1007--1015 (2022; Zbl 1490.91062) Full Text: DOI
Mashayekhi, S.; Karbassi, S. M.; Shahzadefazeli, S. A. Inverse eigenvalue problem for bordered diagonal matrices. (English) Zbl 1499.15035 J. Linear Topol. Algebra 10, No. 4, 269-276 (2021). MSC: 15A18 15A29 PDFBibTeX XMLCite \textit{S. Mashayekhi} et al., J. Linear Topol. Algebra 10, No. 4, 269--276 (2021; Zbl 1499.15035)
Zhao, Lijun Submatrix constrained left and right inverse eigenvalue problem for centrosymmetric matrices. (English) Zbl 07479290 Inverse Probl. Sci. Eng. 29, No. 10, 1412-1428 (2021). MSC: 15A18 15A29 65F18 PDFBibTeX XMLCite \textit{L. Zhao}, Inverse Probl. Sci. Eng. 29, No. 10, 1412--1428 (2021; Zbl 07479290) Full Text: DOI
Gnecco, Giorgio; Bacigalupo, Andrea Convex combination of data matrices: PCA perturbation bounds for multi-objective optimal design of mechanical metafilters. (English) Zbl 1493.62368 Math. Found. Comput. 4, No. 4, 253-269 (2021). MSC: 62H25 15A18 47A55 74M05 74P10 PDFBibTeX XMLCite \textit{G. Gnecco} and \textit{A. Bacigalupo}, Math. Found. Comput. 4, No. 4, 253--269 (2021; Zbl 1493.62368) Full Text: DOI
Yi, Fuxia Inverse eigenvalue and vector pair problem for generalized arrow matrix. (Chinese. English summary) Zbl 1488.15035 Math. Pract. Theory 51, No. 11, 247-256 (2021). MSC: 15A29 15A18 PDFBibTeX XMLCite \textit{F. Yi}, Math. Pract. Theory 51, No. 11, 247--256 (2021; Zbl 1488.15035)
Massey, Pedro; Stojanoff, Demetrio; Zárate, Sebastián Absolute variation of Ritz values, principal angles, and spectral spread. (English) Zbl 1479.15024 SIAM J. Matrix Anal. Appl. 42, No. 4, 1506-1527 (2021). MSC: 15A60 15A42 PDFBibTeX XMLCite \textit{P. Massey} et al., SIAM J. Matrix Anal. Appl. 42, No. 4, 1506--1527 (2021; Zbl 1479.15024) Full Text: DOI arXiv
Groisser, David; Jung, Sungkyu; Schwartzman, Armin Uniqueness questions in a scaling-rotation geometry on the space of symmetric positive-definite matrices. (English) Zbl 1486.53043 Differ. Geom. Appl. 79, Article ID 101798, 40 p. (2021). Reviewer: Lakehal Belarbi (Mostaganem) MSC: 53C20 53C15 57R15 53C22 51F25 15A18 PDFBibTeX XMLCite \textit{D. Groisser} et al., Differ. Geom. Appl. 79, Article ID 101798, 40 p. (2021; Zbl 1486.53043) Full Text: DOI arXiv
Wang, Jing; Kang, Liying; Shan, Erfang The principal eigenvector to \(\alpha\)-spectral radius of hypergraphs. (English) Zbl 1479.05213 J. Comb. Optim. 42, No. 2, 258-275 (2021). MSC: 05C50 05C65 15A18 PDFBibTeX XMLCite \textit{J. Wang} et al., J. Comb. Optim. 42, No. 2, 258--275 (2021; Zbl 1479.05213) Full Text: DOI
Cardoso, Kauê; Trevisan, Vilmar Principal eigenvectors of general hypergraphs. (English) Zbl 1472.05094 Linear Multilinear Algebra 69, No. 14, 2641-2656 (2021). MSC: 05C50 05C65 05C35 15A69 15A18 PDFBibTeX XMLCite \textit{K. Cardoso} and \textit{V. Trevisan}, Linear Multilinear Algebra 69, No. 14, 2641--2656 (2021; Zbl 1472.05094) Full Text: DOI arXiv
Cardoso, Kauê Principal eigenvector of the signless Laplacian matrix. (English) Zbl 1476.05110 Comput. Appl. Math. 40, No. 2, Paper No. 50, 14 p. (2021). MSC: 05C50 05C65 15A18 PDFBibTeX XMLCite \textit{K. Cardoso}, Comput. Appl. Math. 40, No. 2, Paper No. 50, 14 p. (2021; Zbl 1476.05110) Full Text: DOI arXiv
Drees, Holger; Sabourin, Anne Principal component analysis for multivariate extremes. (English) Zbl 1498.62097 Electron. J. Stat. 15, No. 1, 908-943 (2021). MSC: 62G32 62G30 62H25 60G70 PDFBibTeX XMLCite \textit{H. Drees} and \textit{A. Sabourin}, Electron. J. Stat. 15, No. 1, 908--943 (2021; Zbl 1498.62097) Full Text: DOI arXiv
Ding, Xiucai; Yang, Fan Spiked separable covariance matrices and principal components. (English) Zbl 1469.15035 Ann. Stat. 49, No. 2, 1113-1138 (2021). Reviewer: Francisco Marcellán (Leganes) MSC: 15B52 15A18 60B20 62E20 PDFBibTeX XMLCite \textit{X. Ding} and \textit{F. Yang}, Ann. Stat. 49, No. 2, 1113--1138 (2021; Zbl 1469.15035) Full Text: DOI arXiv
Bauer, Jan O.; Drabant, Bernhard Principal loading analysis. (English) Zbl 1473.62201 J. Multivariate Anal. 184, Article ID 104754, 10 p. (2021). Reviewer: Denis Sidorov (Irkutsk) MSC: 62H25 62J10 15A18 15A42 65F15 PDFBibTeX XMLCite \textit{J. O. Bauer} and \textit{B. Drabant}, J. Multivariate Anal. 184, Article ID 104754, 10 p. (2021; Zbl 1473.62201) Full Text: DOI arXiv
Kim, Joonpyo; Park, Seoncheol; Kwon, Junhyeon; Lim, Yaeji; Oh, Hee-Seok Estimation of spatio-temporal extreme distribution using a quantile factor model. (English) Zbl 1466.62322 Extremes 24, No. 1, 177-195 (2021). MSC: 62G32 62G08 62H25 60F10 62P12 PDFBibTeX XMLCite \textit{J. Kim} et al., Extremes 24, No. 1, 177--195 (2021; Zbl 1466.62322) Full Text: DOI
Sharma, Debashish; Sen, Mausumi The minimax inverse eigenvalue problem for matrices whose graph is a generalized star of depth 2. (English) Zbl 1462.05243 Linear Algebra Appl. 621, 334-344 (2021). MSC: 05C50 15A18 65F18 PDFBibTeX XMLCite \textit{D. Sharma} and \textit{M. Sen}, Linear Algebra Appl. 621, 334--344 (2021; Zbl 1462.05243) Full Text: DOI
Massey, Pedro; Stojanoff, Demetrio; Zárate, Sebastián The spectral spread of Hermitian matrices. (English) Zbl 1459.42044 Linear Algebra Appl. 616, 19-44 (2021). MSC: 42C15 15A60 47B15 15A42 15A18 PDFBibTeX XMLCite \textit{P. Massey} et al., Linear Algebra Appl. 616, 19--44 (2021; Zbl 1459.42044) Full Text: DOI arXiv
Chen, Yuxin; Cheng, Chen; Fan, Jianqing Asymmetry helps: eigenvalue and eigenvector analyses of asymmetrically perturbed low-rank matrices. (English) Zbl 1461.62085 Ann. Stat. 49, No. 1, 435-458 (2021). MSC: 62H25 62H12 62M15 15A18 PDFBibTeX XMLCite \textit{Y. Chen} et al., Ann. Stat. 49, No. 1, 435--458 (2021; Zbl 1461.62085) Full Text: DOI arXiv Euclid
Patyi, Imre The Grauert-Oka principle in a Banach space. (English) Zbl 1460.32028 J. Math. Anal. Appl. 495, No. 1, Article ID 124711, 17 p. (2021). Reviewer: Richard M. Aron (Kent) MSC: 32K12 46G20 PDFBibTeX XMLCite \textit{I. Patyi}, J. Math. Anal. Appl. 495, No. 1, Article ID 124711, 17 p. (2021; Zbl 1460.32028) Full Text: DOI
Cantó, Begoña; Cantó, Rafael; Urbano, Ana M. Irreducible totally nonnegative matrices with a prescribed Jordan structure. (English) Zbl 1457.15032 Linear Algebra Appl. 609, 129-151 (2021). MSC: 15B48 15A18 15A21 PDFBibTeX XMLCite \textit{B. Cantó} et al., Linear Algebra Appl. 609, 129--151 (2021; Zbl 1457.15032) Full Text: DOI
Wang, Wan-Lun; Lin, Tsung-I Automated learning of mixtures of factor analysis models with missing information. (English) Zbl 1474.62191 Test 29, No. 4, 1098-1124 (2020). MSC: 62H12 62H25 62H30 PDFBibTeX XMLCite \textit{W.-L. Wang} and \textit{T.-I Lin}, Test 29, No. 4, 1098--1124 (2020; Zbl 1474.62191) Full Text: DOI
Shang, Han Lin A comparison of Hurst exponent estimators in long-range dependent curve time series. (English) Zbl 1494.62019 J. Time Ser. Econom. 12, No. 1, Article ID 20190009, 39 p. (2020). MSC: 62M10 62M15 62G32 PDFBibTeX XMLCite \textit{H. L. Shang}, J. Time Ser. Econom. 12, No. 1, Article ID 20190009, 39 p. (2020; Zbl 1494.62019) Full Text: DOI arXiv
Arapostathis, Aristotle; Borkar, Vivek S. “Controlled” versions of the Collatz-Wielandt and Donsker-Varadhan formulae. (English) Zbl 1472.15009 Joshua, V. C. (ed.) et al., Applied probability and stochastic processes. Selected papers based on the presentations at the international conference, Kerala, India, January, 7–10 2019. In honour of Prof. Dr. A. Krishnamoorthy. Singapore: Springer. Infosys Sci. Found. Ser., 199-214 (2020). MSC: 15A18 93C05 49L20 90C39 PDFBibTeX XMLCite \textit{A. Arapostathis} and \textit{V. S. Borkar}, in: Applied probability and stochastic processes. Selected papers based on the presentations at the international conference, Kerala, India, January, 7--10 2019. In honour of Prof. Dr. A. Krishnamoorthy. Singapore: Springer. 199--214 (2020; Zbl 1472.15009) Full Text: DOI arXiv
Wu, Chunjie Some results on the principal eigenvector. (English) Zbl 1474.05267 Chin. Q. J. Math. 35, No. 4, 401-409 (2020). MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{C. Wu}, Chin. Q. J. Math. 35, No. 4, 401--409 (2020; Zbl 1474.05267) Full Text: DOI
Kandanaarachchi, Sevvandi; Muñoz, Mario A.; Hyndman, Rob J.; Smith-Miles, Kate On normalization and algorithm selection for unsupervised outlier detection. (English) Zbl 1464.62281 Data Min. Knowl. Discov. 34, No. 2, 309-354 (2020). MSC: 62G32 62H25 60F10 PDFBibTeX XMLCite \textit{S. Kandanaarachchi} et al., Data Min. Knowl. Discov. 34, No. 2, 309--354 (2020; Zbl 1464.62281) Full Text: DOI Link
McDonald, J. J.; Nandi, R.; Sivakumar, K. C.; Sushmitha, P.; Tsatsomeros, M. J.; Wendler, Enzo; Wendler, Megan M-matrix and inverse M-matrix extensions. (English) Zbl 1457.15033 Spec. Matrices 8, 186-203 (2020). Reviewer: Francisco Marcellán (Leganes) MSC: 15B48 15A23 15A09 15A18 PDFBibTeX XMLCite \textit{J. J. McDonald} et al., Spec. Matrices 8, 186--203 (2020; Zbl 1457.15033) Full Text: DOI
Capuzzo Dolcetta, Italo Perron-Frobenius, principal eigenvalue, maximum principle: a personal itinerary. (English) Zbl 1454.35076 Rend. Mat. Appl., VII. Ser. 41, No. 3-4, 237-250 (2020). MSC: 35J15 35J47 35J87 15A18 47H25 49L25 49R05 PDFBibTeX XMLCite \textit{I. Capuzzo Dolcetta}, Rend. Mat. Appl., VII. Ser. 41, No. 3--4, 237--250 (2020; Zbl 1454.35076) Full Text: Link
Johnstone, Iain M.; Onatski, Alexei Testing in high-dimensional spiked models. (English) Zbl 1452.62192 Ann. Stat. 48, No. 3, 1231-1254 (2020). Reviewer: Arakaparampil M. Mathai (Montréal) MSC: 62E20 62H10 62H15 62H25 15A18 PDFBibTeX XMLCite \textit{I. M. Johnstone} and \textit{A. Onatski}, Ann. Stat. 48, No. 3, 1231--1254 (2020; Zbl 1452.62192) Full Text: DOI arXiv Euclid
Adams, Henry; Blumstein, Mark; Kassab, Lara Multidimensional scaling on metric measure spaces. (English) Zbl 1441.62934 Rocky Mt. J. Math. 50, No. 2, 397-413 (2020). MSC: 62R20 62H25 51F99 15A18 47A05 PDFBibTeX XMLCite \textit{H. Adams} et al., Rocky Mt. J. Math. 50, No. 2, 397--413 (2020; Zbl 1441.62934) Full Text: DOI arXiv Euclid
Tyler, David E.; Yi, Mengxi Lassoing eigenvalues. (English) Zbl 1441.62189 Biometrika 107, No. 2, 397-414 (2020). MSC: 62J07 62H25 62H12 15A18 PDFBibTeX XMLCite \textit{D. E. Tyler} and \textit{M. Yi}, Biometrika 107, No. 2, 397--414 (2020; Zbl 1441.62189) Full Text: DOI arXiv
Barigozzi, Matteo; Trapani, Lorenzo Sequential testing for structural stability in approximate factor models. (English) Zbl 1441.62208 Stochastic Processes Appl. 130, No. 8, 5149-5187 (2020). MSC: 62L10 62L12 62H25 62M10 62P20 62M07 15A18 PDFBibTeX XMLCite \textit{M. Barigozzi} and \textit{L. Trapani}, Stochastic Processes Appl. 130, No. 8, 5149--5187 (2020; Zbl 1441.62208) Full Text: DOI arXiv
Massey, Pedro G.; Stojanoff, Demetrio; Zarate, Sebastian Majorization bounds for Ritz values of self-adjoint matrices. (English) Zbl 1440.42159 SIAM J. Matrix Anal. Appl. 41, No. 2, 554-572 (2020). MSC: 42C15 15A60 PDFBibTeX XMLCite \textit{P. G. Massey} et al., SIAM J. Matrix Anal. Appl. 41, No. 2, 554--572 (2020; Zbl 1440.42159) Full Text: DOI arXiv
Sun, Shaowei; Das, Kinkar Chandra A conjecture on the spectral radius of graphs. (English) Zbl 1437.05148 Linear Algebra Appl. 588, 74-80 (2020). MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{S. Sun} and \textit{K. C. Das}, Linear Algebra Appl. 588, 74--80 (2020; Zbl 1437.05148) Full Text: DOI
Eftekhari, Armin; Hauser, Raphael A. Principal component analysis by optimization of symmetric functions has no spurious local optima. (English) Zbl 1430.90468 SIAM J. Optim. 30, No. 1, 439-463 (2020). MSC: 90C26 62H25 15A23 15A18 PDFBibTeX XMLCite \textit{A. Eftekhari} and \textit{R. A. Hauser}, SIAM J. Optim. 30, No. 1, 439--463 (2020; Zbl 1430.90468) Full Text: DOI arXiv
Prasadan, Arvind; Nadakuditi, Raj Rao; Paul, Debashis Sparse equisigned PCA: algorithms and performance bounds in the noisy rank-1 setting. (English) Zbl 1429.65091 Electron. J. Stat. 14, No. 1, 345-385 (2020). MSC: 65F50 62H25 62H15 62F03 60G35 15A18 PDFBibTeX XMLCite \textit{A. Prasadan} et al., Electron. J. Stat. 14, No. 1, 345--385 (2020; Zbl 1429.65091) Full Text: DOI arXiv Euclid
Taguchi, Y.-h. Unsupervised feature extraction applied to bioinformatics. A PCA based and TD based approach. (English) Zbl 1455.62004 Unsupervised and Semi-Supervised Learning. Cham: Springer (ISBN 978-3-030-22455-4/hbk; 978-3-030-22456-1/ebook). xviii, 321 p. (2020). Reviewer: Ludwig Paditz (Dresden) MSC: 62-02 62R07 62G10 62H25 62P10 68T05 92-08 PDFBibTeX XMLCite \textit{Y. h. Taguchi}, Unsupervised feature extraction applied to bioinformatics. A PCA based and TD based approach. Cham: Springer (2020; Zbl 1455.62004) Full Text: DOI
Lu, Neng-Pin Using principal eigenvectors of adjacency matrices with added diagonal weights to compose centrality measures and identify bowtie structures for a digraph. (English) Zbl 1485.91191 J. Math. Sociol. 43, No. 3, 164-178 (2019). MSC: 91D30 15A18 PDFBibTeX XMLCite \textit{N.-P. Lu}, J. Math. Sociol. 43, No. 3, 164--178 (2019; Zbl 1485.91191) Full Text: DOI
Hao, Huanhuan Principal eigenvectors of nonnegative tensors and hypergraphs. (English) Zbl 1463.05336 J. Univ. Sci. Technol. China 49, No. 11, 897-901 (2019). MSC: 05C50 05C65 15A18 PDFBibTeX XMLCite \textit{H. Hao}, J. Univ. Sci. Technol. China 49, No. 11, 897--901 (2019; Zbl 1463.05336) Full Text: DOI
Janzamin, Majid; Ge, Rong; Kossaifi, Jean; Anandkumar, Anima Spectral learning on matrices and tensors. (English) Zbl 1436.68004 Found. Trends Mach. Learn. 12, No. 5-6, 1-148 (2019). Reviewer: Martin Holena (Praha) MSC: 68-02 15A18 15A23 15A69 62H25 65F99 68T05 68T07 PDFBibTeX XMLCite \textit{M. Janzamin} et al., Found. Trends Mach. Learn. 12, No. 5--6, 1--148 (2019; Zbl 1436.68004) Full Text: DOI arXiv Link
Bao, Zhigang Tracy-Widom limit for Kendall’s tau. (English) Zbl 1436.62191 Ann. Stat. 47, No. 6, 3504-3532 (2019). Reviewer: Fahrettin Özbey (Bitlis) MSC: 62H10 60B20 62H25 62G30 15B52 15A18 PDFBibTeX XMLCite \textit{Z. Bao}, Ann. Stat. 47, No. 6, 3504--3532 (2019; Zbl 1436.62191) Full Text: DOI arXiv Euclid
Fan, Jianqing; Wang, Dong; Wang, Kaizheng; Zhu, Ziwei Distributed estimation of principal eigenspaces. (English) Zbl 1450.62067 Ann. Stat. 47, No. 6, 3009-3031 (2019). Reviewer: Flavia-Corina Mitroi-Symeonidis (Bucureşti) MSC: 62H25 62E10 60E15 68T05 62R07 62G32 PDFBibTeX XMLCite \textit{J. Fan} et al., Ann. Stat. 47, No. 6, 3009--3031 (2019; Zbl 1450.62067) Full Text: DOI arXiv Euclid
Dey, Rounak; Lee, Seunggeun Asymptotic properties of principal component analysis and shrinkage-bias adjustment under the generalized spiked population model. (English) Zbl 1422.62210 J. Multivariate Anal. 173, 145-164 (2019). MSC: 62H25 62H12 15A18 15B52 PDFBibTeX XMLCite \textit{R. Dey} and \textit{S. Lee}, J. Multivariate Anal. 173, 145--164 (2019; Zbl 1422.62210) Full Text: DOI arXiv Link
Chen, Jiangning Convergence rate of Krasulina estimator. (English) Zbl 1428.62256 Stat. Probab. Lett. 155, Article ID 108562, 11 p. (2019). MSC: 62H25 15A18 PDFBibTeX XMLCite \textit{J. Chen}, Stat. Probab. Lett. 155, Article ID 108562, 11 p. (2019; Zbl 1428.62256) Full Text: DOI arXiv
Kim, Mihyun; Kokoszka, Piotr Hill estimator of projections of functional data on principal components. (English) Zbl 1418.62218 Statistics 53, No. 4, 699-720 (2019). MSC: 62G32 62H25 PDFBibTeX XMLCite \textit{M. Kim} and \textit{P. Kokoszka}, Statistics 53, No. 4, 699--720 (2019; Zbl 1418.62218) Full Text: DOI
Álvarez-Vizoso, J.; Arn, Robert; Kirby, Michael; Peterson, Chris; Draper, Bruce Geometry of curves in \(\mathbb{R}^n\) from the local singular value decomposition. (English) Zbl 1415.53001 Linear Algebra Appl. 571, 180-202 (2019). Reviewer: Laurian Ioan Piscoran (Baia Mare) MSC: 53A04 15A18 53A07 PDFBibTeX XMLCite \textit{J. Álvarez-Vizoso} et al., Linear Algebra Appl. 571, 180--202 (2019; Zbl 1415.53001) Full Text: DOI
Drineas, Petros; Ipsen, Ilse C. F. Low-rank matrix approximations do not need a singular value gap. (English) Zbl 1455.65066 SIAM J. Matrix Anal. Appl. 40, No. 1, 299-319 (2019). MSC: 65F55 65F15 15A18 15A42 PDFBibTeX XMLCite \textit{P. Drineas} and \textit{I. C. F. Ipsen}, SIAM J. Matrix Anal. Appl. 40, No. 1, 299--319 (2019; Zbl 1455.65066) Full Text: DOI arXiv
Chen, Jia; Wang, Gang; Giannakis, Georgios B. Nonlinear dimensionality reduction for discriminative analytics of multiple datasets. (English) Zbl 1414.62207 IEEE Trans. Signal Process. 67, No. 3, 740-752 (2019). MSC: 62H25 15A18 PDFBibTeX XMLCite \textit{J. Chen} et al., IEEE Trans. Signal Process. 67, No. 3, 740--752 (2019; Zbl 1414.62207) Full Text: DOI arXiv
Zhang, Huamin The eigenvalues range of a class of matrices and some applications in Cauchy-Schwarz inequality and iterative methods. (English) Zbl 1426.15012 Appl. Math. Comput. 321, 37-48 (2018). MSC: 15A18 65F30 PDFBibTeX XMLCite \textit{H. Zhang}, Appl. Math. Comput. 321, 37--48 (2018; Zbl 1426.15012) Full Text: DOI
Bénasséni, Jacques A correction of approximations used in sensitivity study of principal component analysis. (English) Zbl 1417.62162 Comput. Stat. 33, No. 4, 1939-1955 (2018). MSC: 62H25 15A18 62-08 PDFBibTeX XMLCite \textit{J. Bénasséni}, Comput. Stat. 33, No. 4, 1939--1955 (2018; Zbl 1417.62162) Full Text: DOI
Archimbaud, Aurore Unsupervised outlier detection in quality control: an overview. (Détection non-supervisée d’observations atypiques en contrôle de qualité : un survol.) (French. English summary) Zbl 1410.62213 J. SFdS 159, No. 3, 1-39 (2018). MSC: 62P30 62H12 62H25 62G32 PDFBibTeX XMLCite \textit{A. Archimbaud}, J. SFdS 159, No. 3, 1--39 (2018; Zbl 1410.62213) Full Text: Link
Forastiere, Laura; Mealli, Fabrizia; Miratrix, Luke Posterior predictive \(p\)-values with Fisher randomization tests in noncompliance settings: test statistics vs discrepancy measures. (English) Zbl 1407.62075 Bayesian Anal. 13, No. 3, 681-701 (2018). MSC: 62F15 62A01 62G10 PDFBibTeX XMLCite \textit{L. Forastiere} et al., Bayesian Anal. 13, No. 3, 681--701 (2018; Zbl 1407.62075) Full Text: DOI arXiv Euclid
Tsakiris, Manolis C.; Vidal, René Dual principal component pursuit. (English) Zbl 1444.62081 J. Mach. Learn. Res. 19, Paper No. 18, 50 p. (2018). MSC: 62H25 62G35 62G32 90C05 PDFBibTeX XMLCite \textit{M. C. Tsakiris} and \textit{R. Vidal}, J. Mach. Learn. Res. 19, Paper No. 18, 50 p. (2018; Zbl 1444.62081) Full Text: arXiv Link
Krupskii, Pavel; Huser, Raphaël; Genton, Marc G. Factor copula models for replicated spatial data. (English) Zbl 1398.62256 J. Am. Stat. Assoc. 113, No. 521, 467-479 (2018). MSC: 62M30 62G32 62H05 62H25 PDFBibTeX XMLCite \textit{P. Krupskii} et al., J. Am. Stat. Assoc. 113, No. 521, 467--479 (2018; Zbl 1398.62256) Full Text: DOI arXiv Link
Yi, Fuxia; Wang, Jinlin Extremal inverse eigenvalue problem for a kind of special matrices. (Chinese. English summary) Zbl 1413.15031 Math. Pract. Theory 48, No. 5, 180-188 (2018). MSC: 15A29 15A18 PDFBibTeX XMLCite \textit{F. Yi} and \textit{J. Wang}, Math. Pract. Theory 48, No. 5, 180--188 (2018; Zbl 1413.15031)
Yi, Fuxia; Wang, Jinlin; Yuan, Daming The inverse eigenvalue problems for a class of special matrix. (Chinese. English summary) Zbl 1413.15032 Math. Pract. Theory 48, No. 2, 170-178 (2018). MSC: 15A29 15A18 PDFBibTeX XMLCite \textit{F. Yi} et al., Math. Pract. Theory 48, No. 2, 170--178 (2018; Zbl 1413.15032)
Pan, Yunlan; Qin, Li On the generalized Jacobi matrix’s inverse eigenvalue problem with partial given eigenvalues and the leading principal submatrix. (Chinese. English summary) Zbl 1413.15029 J. Zhejiang Norm. Univ., Nat. Sci. 41, No. 2, 130-137 (2018). MSC: 15A29 15A18 PDFBibTeX XMLCite \textit{Y. Pan} and \textit{L. Qin}, J. Zhejiang Norm. Univ., Nat. Sci. 41, No. 2, 130--137 (2018; Zbl 1413.15029) Full Text: DOI
Holodnak, John T.; Ipsen, Ilse C. F.; Smith, Ralph C. A probabilistic subspace bound with application to active subspaces. (English) Zbl 1448.60111 SIAM J. Matrix Anal. Appl. 39, No. 3, 1208-1220 (2018). MSC: 60G60 65C30 65F15 65D05 15A18 15A23 15A60 PDFBibTeX XMLCite \textit{J. T. Holodnak} et al., SIAM J. Matrix Anal. Appl. 39, No. 3, 1208--1220 (2018; Zbl 1448.60111) Full Text: DOI arXiv
Kokoszka, Piotr; Xiong, Qian Extremes of projections of functional time series on data-driven basis systems. (English) Zbl 1398.62235 Extremes 21, No. 2, 177-204 (2018). Reviewer: Miroslav M. Ristić (Niš) MSC: 62M10 62E20 62G32 60F05 62H25 PDFBibTeX XMLCite \textit{P. Kokoszka} and \textit{Q. Xiong}, Extremes 21, No. 2, 177--204 (2018; Zbl 1398.62235) Full Text: DOI
Huang, Jiaoyang Mesoscopic perturbations of large random matrices. (English) Zbl 1390.15121 Random Matrices Theory Appl. 7, No. 2, Article ID 1850004, 23 p. (2018). MSC: 15B52 15A18 60F05 60B20 62H25 PDFBibTeX XMLCite \textit{J. Huang}, Random Matrices Theory Appl. 7, No. 2, Article ID 1850004, 23 p. (2018; Zbl 1390.15121) Full Text: DOI arXiv
Li, Haifeng; Zhou, Jiang; Bu, Changjiang Principal eigenvectors and spectral radii of uniform hypergraphs. (English) Zbl 1436.05062 Linear Algebra Appl. 544, 273-285 (2018). MSC: 05C50 05C65 15A69 15A18 PDFBibTeX XMLCite \textit{H. Li} et al., Linear Algebra Appl. 544, 273--285 (2018; Zbl 1436.05062) Full Text: DOI arXiv
Zheng, Ya-nan; Wu, Wei On a class of semi-positive tensors in tensor complementarity problem. (English) Zbl 1388.15023 J. Optim. Theory Appl. 177, No. 1, 127-136 (2018). MSC: 15A69 15A18 15A72 90C33 PDFBibTeX XMLCite \textit{Y.-n. Zheng} and \textit{W. Wu}, J. Optim. Theory Appl. 177, No. 1, 127--136 (2018; Zbl 1388.15023) Full Text: DOI
García-Escudero, Luis Angel; Greselin, Francesca; Iscar, Agustin Mayo Robust, fuzzy, and parsimonious clustering, based on mixtures of factor analyzers. (English) Zbl 1450.62075 Int. J. Approx. Reasoning 94, 60-75 (2018). MSC: 62H30 62H25 62H86 62G32 68T05 PDFBibTeX XMLCite \textit{L. A. García-Escudero} et al., Int. J. Approx. Reasoning 94, 60--75 (2018; Zbl 1450.62075) Full Text: DOI Link
Drineas, Petros; Ipsen, Ilse C. F.; Kontopoulou, Eugenia-Maria; Magdon-Ismail, Malik Structural convergence results for approximation of dominant subspaces from block Krylov spaces. (English) Zbl 1390.15027 SIAM J. Matrix Anal. Appl. 39, No. 2, 567-586 (2018). MSC: 15A18 15A42 65F15 65F20 68W20 PDFBibTeX XMLCite \textit{P. Drineas} et al., SIAM J. Matrix Anal. Appl. 39, No. 2, 567--586 (2018; Zbl 1390.15027) Full Text: DOI arXiv
Xu, Wei-Ru; Chen, Guo-Liang On inverse eigenvalue problems for two kinds of special banded matrices. (English) Zbl 1488.15034 Filomat 31, No. 2, 371-385 (2017). MSC: 15A29 15A12 15A18 PDFBibTeX XMLCite \textit{W.-R. Xu} and \textit{G.-L. Chen}, Filomat 31, No. 2, 371--385 (2017; Zbl 1488.15034) Full Text: DOI
Zhao, Li-Jun; Huang, Ru Inverse eigenvalue problems for centrosymmetric matrices under a central principal submatrix constraint. (English) Zbl 1427.15040 J. Math. Comput. Sci., JMCS 17, No. 4, 477-487 (2017). MSC: 15B57 15A18 65F99 PDFBibTeX XMLCite \textit{L.-J. Zhao} and \textit{R. Huang}, J. Math. Comput. Sci., JMCS 17, No. 4, 477--487 (2017; Zbl 1427.15040) Full Text: DOI
Little, Anna V.; Maggioni, Mauro; Rosasco, Lorenzo Multiscale geometric methods for data sets. I: Multiscale SVD, noise and curvature. (English) Zbl 06770640 Appl. Comput. Harmon. Anal. 43, No. 3, 504-567 (2017). MSC: 62H25 60E05 PDFBibTeX XMLCite \textit{A. V. Little} et al., Appl. Comput. Harmon. Anal. 43, No. 3, 504--567 (2017; Zbl 06770640) Full Text: DOI Link
Tian, Ying; Li, Shunyong; Zhang, Xiaoqin A new modified EM algorithm based on MCLasso in compositional data. (Chinese. English summary) Zbl 1374.62074 J. Yunnan Minzu Univ., Nat. Sci. 26, No. 1, 50-54 (2017). MSC: 62H25 PDFBibTeX XMLCite \textit{Y. Tian} et al., J. Yunnan Minzu Univ., Nat. Sci. 26, No. 1, 50--54 (2017; Zbl 1374.62074)
Audigier, Vincent; Husson, François; Josse, Julie MIMCA: multiple imputation for categorical variables with multiple correspondence analysis. (English) Zbl 1505.62485 Stat. Comput. 27, No. 2, 501-518 (2017). MSC: 62H25 62-08 PDFBibTeX XMLCite \textit{V. Audigier} et al., Stat. Comput. 27, No. 2, 501--518 (2017; Zbl 1505.62485) Full Text: DOI arXiv
Audigier, Vincent; Husson, François; Josse, Julie Multiple imputation for continuous variables using a Bayesian principal component analysis. (English) Zbl 1510.62262 J. Stat. Comput. Simulation 86, No. 11, 2140-2156 (2016). MSC: 62H25 62F15 62-08 PDFBibTeX XMLCite \textit{V. Audigier} et al., J. Stat. Comput. Simulation 86, No. 11, 2140--2156 (2016; Zbl 1510.62262) Full Text: DOI arXiv
Audigier, Vincent; Husson, François; Josse, Julie A principal component method to impute missing values for mixed data. (English) Zbl 1414.62206 Adv. Data Anal. Classif., ADAC 10, No. 1, 5-26 (2016). MSC: 62H25 PDFBibTeX XMLCite \textit{V. Audigier} et al., Adv. Data Anal. Classif., ADAC 10, No. 1, 5--26 (2016; Zbl 1414.62206) Full Text: DOI arXiv
Zheng, Charles Z. Goethe’s secret reserve price. (English) Zbl 1398.91301 Int. J. Econ. Theory 12, No. 1, 41-48 (2016). MSC: 91B26 PDFBibTeX XMLCite \textit{C. Z. Zheng}, Int. J. Econ. Theory 12, No. 1, 41--48 (2016; Zbl 1398.91301) Full Text: DOI