Che, Maolin; Wei, Yimin; Yan, Hong Randomized algorithms for the low multilinear rank approximations of tensors. (English) Zbl 07309646 J. Comput. Appl. Math. 390, Article ID 113380, 20 p. (2021). MSC: 65F 68W20 15A69 PDF BibTeX XML Cite \textit{M. Che} et al., J. Comput. Appl. Math. 390, Article ID 113380, 20 p. (2021; Zbl 07309646) Full Text: DOI
Yu, Cui-E; Liu, Xin; Zhang, Yang On elliptic biquaternion matrices. (English) Zbl 07309509 Adv. Appl. Clifford Algebr. 31, No. 1, Paper No. 5, 14 p. (2021). MSC: 15B33 15A24 15A23 15A18 15A66 15A67 PDF BibTeX XML Cite \textit{C.-E Yu} et al., Adv. Appl. Clifford Algebr. 31, No. 1, Paper No. 5, 14 p. (2021; Zbl 07309509) Full Text: DOI
Wang, Wuyi; Su, Liangjun Identifying latent group structures in nonlinear panels. (English) Zbl 07306275 J. Econom. 220, No. 2, 272-295 (2021). MSC: 62 91 PDF BibTeX XML Cite \textit{W. Wang} and \textit{L. Su}, J. Econom. 220, No. 2, 272--295 (2021; Zbl 07306275) Full Text: DOI
Kulikova, Maria V.; Tsyganova, J. V.; Kulikov, G. Yu. SVD-based state and parameter estimation approach for generalized Kalman filtering with application to GARCH-in-Mean estimation. (English) Zbl 07305170 J. Comput. Appl. Math. 387, Article ID 112487, 13 p. (2021). MSC: 93E11 93C35 PDF BibTeX XML Cite \textit{M. V. Kulikova} et al., J. Comput. Appl. Math. 387, Article ID 112487, 13 p. (2021; Zbl 07305170) Full Text: DOI
Zimmermann, Ralf A geometric approach to subspace updates and orthogonal matrix decompositions under rank-one modifications. (English) Zbl 07298452 Math. Comput. 90, No. 328, 671-688 (2021). MSC: 15B10 15A23 65F15 65F25 PDF BibTeX XML Cite \textit{R. Zimmermann}, Math. Comput. 90, No. 328, 671--688 (2021; Zbl 07298452) Full Text: DOI
Andruchow, Esteban Unitary operators with decomposable corners. (English) Zbl 07296629 Banach J. Math. Anal. 15, No. 1, Paper No. 10, 25 p. (2021). MSC: 47Axx 47A20 47B35 PDF BibTeX XML Cite \textit{E. Andruchow}, Banach J. Math. Anal. 15, No. 1, Paper No. 10, 25 p. (2021; Zbl 07296629) Full Text: DOI
Axelsson, Owe A survey of optimal control problems for PDEs. (English) Zbl 1446.65159 Dimov, Ivan (ed.) et al., Advances in high performance computing. Results of the international conference on high performance computing, Borovets, Bulgaria, September 2–6, 2019. Cham: Springer. Stud. Comput. Intell. 902, 376-390 (2021). MSC: 65N30 65N55 65N20 65K10 65F10 65F08 65Y05 49J20 49M25 15A18 PDF BibTeX XML Cite \textit{O. Axelsson}, Stud. Comput. Intell. 902, 376--390 (2021; Zbl 1446.65159) Full Text: DOI
Yuan, Yongxin; Chen, Jinghua An inverse eigenvalue problem for Hamiltonian matrices. (English) Zbl 1451.65039 J. Comput. Appl. Math. 381, Article ID 113031, 8 p. (2021). MSC: 65F18 15A29 15A18 PDF BibTeX XML Cite \textit{Y. Yuan} and \textit{J. Chen}, J. Comput. Appl. Math. 381, Article ID 113031, 8 p. (2021; Zbl 1451.65039) Full Text: DOI
Ergashev, T. G.; Hasanov, A. Holmgren problem for elliptic equation with singular coefficients. (English) Zbl 07314745 Vestn. KRAUNTS, Fiz.-Mat. Nauki 2020, No. 3(32), 114-126 (2020). MSC: 35A08 35J25 35J70 35J75 PDF BibTeX XML Cite \textit{T. G. Ergashev} and \textit{A. Hasanov}, Vestn. KRAUNTS, Fiz.-Mat. Nauki 2020, No. 3(32), 114--126 (2020; Zbl 07314745) Full Text: DOI MNR
Malec, Lukáš; Janovský, Vladimír Connecting the multivariate partial least squares with canonical analysis: a path-following approach. (English) Zbl 07311725 Adv. Data Anal. Classif., ADAC 14, No. 3, 589-609 (2020). MSC: 62H20 46N10 62P20 PDF BibTeX XML Cite \textit{L. Malec} and \textit{V. Janovský}, Adv. Data Anal. Classif., ADAC 14, No. 3, 589--609 (2020; Zbl 07311725) Full Text: DOI
Xie, Ting; Zhang, Taiping The fast clustering algorithm for the big data based on K-means. (English) Zbl 07308340 Int. J. Wavelets Multiresolut. Inf. Process. 18, No. 6, Article ID 2050053, 15 p. (2020). MSC: 22E46 53C35 57S20 PDF BibTeX XML Cite \textit{T. Xie} and \textit{T. Zhang}, Int. J. Wavelets Multiresolut. Inf. Process. 18, No. 6, Article ID 2050053, 15 p. (2020; Zbl 07308340) Full Text: DOI
Reynolds-Barredo, J. M.; Peraza-Rodríguez, H.; Sanchez, R.; Tribaldos, V. A novel efficient solver for Ampere’s equation in general toroidal topologies based on singular value decomposition techniques. (English) Zbl 07303172 J. Comput. Phys. 406, Article ID 109214, 15 p. (2020). MSC: 78M12 78A30 76W05 PDF BibTeX XML Cite \textit{J. M. Reynolds-Barredo} et al., J. Comput. Phys. 406, Article ID 109214, 15 p. (2020; Zbl 07303172) Full Text: DOI
Yang, Yuning The epsilon-alternating least squares for orthogonal low-rank tensor approximation and its global convergence. (English) Zbl 07301510 SIAM J. Matrix Anal. Appl. 41, No. 4, 1797-1825 (2020). MSC: 90C26 15A18 15A69 41A50 PDF BibTeX XML Cite \textit{Y. Yang}, SIAM J. Matrix Anal. Appl. 41, No. 4, 1797--1825 (2020; Zbl 07301510) Full Text: DOI
Zhang, Haoran; Chen, Yunxiao; Li, Xiaoou A note on exploratory item factor analysis by singular value decomposition. (English) Zbl 07300264 Psychometrika 85, No. 2, 358-372 (2020). MSC: 62P15 62H25 PDF BibTeX XML Cite \textit{H. Zhang} et al., Psychometrika 85, No. 2, 358--372 (2020; Zbl 07300264) Full Text: DOI
Guo, Qianping; Leng, Jinsong; Li, Houbiao The construction of finite frames based on matrices. (English) Zbl 07296035 Math. Pract. Theory 50, No. 12, 168-172 (2020). MSC: 42C15 PDF BibTeX XML Cite \textit{Q. Guo} et al., Math. Pract. Theory 50, No. 12, 168--172 (2020; Zbl 07296035)
Chen, Hongli Initialization of nonnegative matrix factorization based on Monte Carlo method. (English) Zbl 07295479 J. Math., Wuhan Univ. 40, No. 4, 498-504 (2020). MSC: 65F30 15A23 PDF BibTeX XML Cite \textit{H. Chen}, J. Math., Wuhan Univ. 40, No. 4, 498--504 (2020; Zbl 07295479) Full Text: DOI
Choudhary, A.; Martha, S. C.; Chakrabarti, A. Modified method for the solution of dual trigonometric series relations. (English) Zbl 1452.65073 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 90, No. 3, 437-445 (2020). MSC: 65F20 93E24 PDF BibTeX XML Cite \textit{A. Choudhary} et al., Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 90, No. 3, 437--445 (2020; Zbl 1452.65073) Full Text: DOI
Reitberger, Günther; Sauer, Tomas Background subtraction using adaptive singular value decomposition. (English) Zbl 07289207 J. Math. Imaging Vis. 62, No. 8, 1159-1172 (2020). MSC: 68 94 PDF BibTeX XML Cite \textit{G. Reitberger} and \textit{T. Sauer}, J. Math. Imaging Vis. 62, No. 8, 1159--1172 (2020; Zbl 07289207) Full Text: DOI
Deidda, Gian Piero; Díaz de Alba, Patricia; Rodriguez, Giuseppe; Vignoli, Giulio Inversion of multiconfiguration complex EMI data with minimum gradient support regularization: a case study. (English) Zbl 1451.86009 Math. Geosci. 52, No. 7, 945-970 (2020). MSC: 86A22 86-08 PDF BibTeX XML Cite \textit{G. P. Deidda} et al., Math. Geosci. 52, No. 7, 945--970 (2020; Zbl 1451.86009) Full Text: DOI
Wang, Li; Zhang, Lei-hong; Bai, Zhaojun; Li, Ren-Cang Orthogonal canonical correlation analysis and applications. (English) Zbl 07276054 Optim. Methods Softw. 35, No. 4, 787-807 (2020). MSC: 65F15 15A18 90C90 PDF BibTeX XML Cite \textit{L. Wang} et al., Optim. Methods Softw. 35, No. 4, 787--807 (2020; Zbl 07276054) Full Text: DOI
Marques, Osni; Demmel, James; Vasconcelos, Paulo B. Bidiagonal SVD computation via an associated tridiagonal eigenproblem. (English) Zbl 07272245 ACM Trans. Math. Softw. 46, No. 2, Article No. 14, 25 p. (2020). MSC: 65 PDF BibTeX XML Cite \textit{O. Marques} et al., ACM Trans. Math. Softw. 46, No. 2, Article No. 14, 25 p. (2020; Zbl 07272245) Full Text: DOI
Ballard, Grey; Klinvex, Alicia; Kolda, Tamara G. TuckerMPI: a parallel C++/MPI software package for large-scale data compression via the Tucker tensor decomposition. (English) Zbl 07272244 ACM Trans. Math. Softw. 46, No. 2, Article No. 13, 31 p. (2020). MSC: 65 PDF BibTeX XML Cite \textit{G. Ballard} et al., ACM Trans. Math. Softw. 46, No. 2, Article No. 13, 31 p. (2020; Zbl 07272244) Full Text: DOI
Singer, Sanja; Napoli, Edoardo Di; Novaković, Vedran; Čaklović, Gayatri The LAPW method with eigendecomposition based on the Hari-Zimmermann generalized hyperbolic SVD. (English) Zbl 1452.65071 SIAM J. Sci. Comput. 42, No. 5, C265-C293 (2020). MSC: 65F15 65F25 65Y05 65Z05 PDF BibTeX XML Cite \textit{S. Singer} et al., SIAM J. Sci. Comput. 42, No. 5, C265--C293 (2020; Zbl 1452.65071) Full Text: DOI
Zimmermann, Ralf Hermite interpolation and data processing errors on Riemannian matrix manifolds. (English) Zbl 1452.65085 SIAM J. Sci. Comput. 42, No. 5, A2593-A2619 (2020). MSC: 65F60 15A16 41A05 53-08 PDF BibTeX XML Cite \textit{R. Zimmermann}, SIAM J. Sci. Comput. 42, No. 5, A2593--A2619 (2020; Zbl 1452.65085) Full Text: DOI
Kaur, Amandeep; Martha, S. C.; Chakrabarti, A. An algebraic method of solution of a water wave scattering problem involving an asymmetrical trench. (English) Zbl 07261296 Comput. Appl. Math. 39, No. 3, Paper No. 229, 19 p. (2020). MSC: 76B15 65F20 PDF BibTeX XML Cite \textit{A. Kaur} et al., Comput. Appl. Math. 39, No. 3, Paper No. 229, 19 p. (2020; Zbl 07261296) Full Text: DOI
Intawichai, Siriwan; Chaturantabut, Saifon A numerical study of efficient sampling strategies for randomized singular value decomposition. (English) Zbl 07256146 Thai J. Math., Spec. Iss.: Annual Meeting in Mathematics 2019, 371-385 (2020). MSC: 65F15 65F30 PDF BibTeX XML Cite \textit{S. Intawichai} and \textit{S. Chaturantabut}, Thai J. Math. , 371--385 (2020; Zbl 07256146) Full Text: Link
Cai, Zhanrui; Li, Runze; Zhu, Liping Online sufficient dimension reduction through sliced inverse regression. (English) Zbl 07255041 J. Mach. Learn. Res. 21, Paper No. 10, 25 p. (2020). MSC: 68T05 PDF BibTeX XML Cite \textit{Z. Cai} et al., J. Mach. Learn. Res. 21, Paper No. 10, 25 p. (2020; Zbl 07255041) Full Text: Link
Hubmer, Simon; Ramlau, Ronny A frame decomposition of the atmospheric tomography operator. (English) Zbl 1448.78011 Inverse Probl. 36, No. 9, Article ID 094001, 26 p. (2020). MSC: 78A10 78A46 47A52 65R10 94A08 86A10 85A25 PDF BibTeX XML Cite \textit{S. Hubmer} and \textit{R. Ramlau}, Inverse Probl. 36, No. 9, Article ID 094001, 26 p. (2020; Zbl 1448.78011) Full Text: DOI
Polyakova, Anna P.; Svetov, Ivan E.; Hahn, Bernadette N. The singular value decomposition of the operators of the dynamic ray transforms acting on 2D vector fields. (English) Zbl 07250780 Sergeyev, Yaroslav D. (ed.) et al., Numerical computations: theory and algorithms. Third international conference, NUMTA 2019, Crotone, Italy, June 15–21, 2019. Revised selected papers. Part II. Cham: Springer (ISBN 978-3-030-40615-8/pbk; 978-3-030-40616-5/ebook). Lecture Notes in Computer Science 11974, 446-453 (2020). MSC: 65 PDF BibTeX XML Cite \textit{A. P. Polyakova} et al., Lect. Notes Comput. Sci. 11974, 446--453 (2020; Zbl 07250780) Full Text: DOI
Raza, Akmal; Arshad, Khan Non-uniform Haar wavelet method for solving singularly perturbed differential difference equations of neuronal variability. (English) Zbl 1441.65121 Appl. Appl. Math., Spec. Iss. 6, 56-70 (2020). MSC: 65N99 65N35 65N55 65L10 PDF BibTeX XML Cite \textit{A. Raza} and \textit{K. Arshad}, Appl. Appl. Math. , 56--70 (2020; Zbl 1441.65121) Full Text: Link
Aishima, Kensuke Strong convergence for the dynamic mode decomposition based on the total least squares to noisy datasets. (English) Zbl 1448.62090 JSIAM Lett. 12, 33-36 (2020). MSC: 62H25 37A30 60G60 PDF BibTeX XML Cite \textit{K. Aishima}, JSIAM Lett. 12, 33--36 (2020; Zbl 1448.62090) Full Text: DOI
Ali, Mazen; Nouy, Anthony Singular value decomposition in Sobolev spaces: part I. (English) Zbl 07242731 Z. Anal. Anwend. 39, No. 3, 349-369 (2020). MSC: 46E35 46N40 65J99 PDF BibTeX XML Cite \textit{M. Ali} and \textit{A. Nouy}, Z. Anal. Anwend. 39, No. 3, 349--369 (2020; Zbl 07242731) Full Text: DOI
Ito, Kazufumi; Jin, Bangti Regularized linear inversion with randomized singular value decomposition. (English) Zbl 1451.65043 Beilina, Larisa (ed.) et al., Mathematical and numerical approaches for multi-wave inverse problems. Selected papers based on the presentations at the conference, CIRM, Marseille, France, April 1–5, 2019. Cham: Springer. Springer Proc. Math. Stat. 328, 45-72 (2020). MSC: 65F22 65F20 PDF BibTeX XML Cite \textit{K. Ito} and \textit{B. Jin}, Springer Proc. Math. Stat. 328, 45--72 (2020; Zbl 1451.65043) Full Text: DOI
Chen, Ke; Li, Qin; Lu, Jianfeng; Wright, Stephen J. Randomized sampling for basis function construction in generalized finite element methods. (English) Zbl 1446.65162 Multiscale Model. Simul. 18, No. 2, 1153-1177 (2020). MSC: 65N30 62D05 65F15 PDF BibTeX XML Cite \textit{K. Chen} et al., Multiscale Model. Simul. 18, No. 2, 1153--1177 (2020; Zbl 1446.65162) Full Text: DOI
Liu, Youming; Qi, Xinyu Optimality of singular vector perturbation under maximum norm. (English) Zbl 1446.15010 Math. Methods Appl. Sci. 43, No. 8, 5010-5018 (2020). MSC: 15A60 15A29 15A18 65F15 68T05 PDF BibTeX XML Cite \textit{Y. Liu} and \textit{X. Qi}, Math. Methods Appl. Sci. 43, No. 8, 5010--5018 (2020; Zbl 1446.15010) Full Text: DOI
Zhang, Shuai; Yang, Xuexia Research and simulation of blind watermarking algorithms based on DWT-SVD of non-square image. (Chinese. English summary) Zbl 1449.94068 J. North Univ. China, Nat. Sci. 41, No. 1, 49-54 (2020). MSC: 94A60 94A08 42C40 PDF BibTeX XML Cite \textit{S. Zhang} and \textit{X. Yang}, J. North Univ. China, Nat. Sci. 41, No. 1, 49--54 (2020; Zbl 1449.94068) Full Text: DOI
Golubev, G. K. On adaptive estimation of linear functionals from observations against white noise. (English. Russian original) Zbl 07226809 Probl. Inf. Transm. 56, No. 2, 185-200 (2020); translation from Probl. Peredachi Inf. 56, No. 2, 95-111 (2020). MSC: 62R10 62H12 62J05 62B10 62M05 62M15 60H40 PDF BibTeX XML Cite \textit{G. K. Golubev}, Probl. Inf. Transm. 56, No. 2, 185--200 (2020; Zbl 07226809); translation from Probl. Peredachi Inf. 56, No. 2, 95--111 (2020) Full Text: DOI
Göllmann, Laurenz Linear algebra in the algebraic context. 2nd revised and expanded edition. (Lineare Algebra im algebraischen Kontext.) (German) Zbl 1437.15001 Lehrbuch. Berlin: Springer Spektrum (ISBN 978-3-662-61737-3/pbk; 978-3-662-61738-0/ebook). xiv, 611 p. (2020). MSC: 15-01 00A05 15A03 15A06 15A15 15A18 15A21 15A23 15A63 PDF BibTeX XML Cite \textit{L. Göllmann}, Lineare Algebra im algebraischen Kontext. 2nd revised and expanded edition. Berlin: Springer Spektrum (2020; Zbl 1437.15001) Full Text: DOI
Song, Guangjing; Ng, Michael K.; Zhang, Xiongjun Robust tensor completion using transformed tensor singular value decomposition. (English) Zbl 07217207 Numer. Linear Algebra Appl. 27, No. 3, e2299, 27 p. (2020). MSC: 15A04 65F99 90C25 PDF BibTeX XML Cite \textit{G. Song} et al., Numer. Linear Algebra Appl. 27, No. 3, e2299, 27 p. (2020; Zbl 07217207) Full Text: DOI
Meng, Lingsheng; Zheng, Bing; Wei, Yimin Condition numbers of the multidimensional total least squares problems having more than one solution. (English) Zbl 1451.65045 Numer. Algorithms 84, No. 3, 887-908 (2020). Reviewer: Constantin Popa (Constanţa) MSC: 65F35 65F20 PDF BibTeX XML Cite \textit{L. Meng} et al., Numer. Algorithms 84, No. 3, 887--908 (2020; Zbl 1451.65045) Full Text: DOI
Phalippou, P.; Bouabdallah, S.; Breitkopf, P.; Villon, P.; Zarroug, M. ‘On-the-fly’ snapshots selection for proper orthogonal decomposition with application to nonlinear dynamics. (English) Zbl 1442.65058 Comput. Methods Appl. Mech. Eng. 367, Article ID 113120, 16 p. (2020). MSC: 65F15 PDF BibTeX XML Cite \textit{P. Phalippou} et al., Comput. Methods Appl. Mech. Eng. 367, Article ID 113120, 16 p. (2020; Zbl 1442.65058) Full Text: DOI
Sebacher, Bogdan; Hanea, Remus Channelized reservoir estimation using a low-dimensional parameterization based on high-order singular value decomposition. (English) Zbl 1434.86017 Comput. Geosci. 24, No. 2, 509-531 (2020). MSC: 86-10 76S05 86A32 65F15 PDF BibTeX XML Cite \textit{B. Sebacher} and \textit{R. Hanea}, Comput. Geosci. 24, No. 2, 509--531 (2020; Zbl 1434.86017) Full Text: DOI
Liu, Qiaohua; Wei, Musheng; Chen, Cuiping A note on the matrix-scaled total least squares problems with multiple solutions. (English) Zbl 1441.65034 Appl. Math. Lett. 103, Article ID 106181, 6 p. (2020). MSC: 65F10 65F15 PDF BibTeX XML Cite \textit{Q. Liu} et al., Appl. Math. Lett. 103, Article ID 106181, 6 p. (2020; Zbl 1441.65034) Full Text: DOI
Che, Maolin; Wei, Yimin; Yan, Hong The computation of low multilinear rank approximations of tensors via power scheme and random projection. (English) Zbl 07206106 SIAM J. Matrix Anal. Appl. 41, No. 2, 605-636 (2020). MSC: 65D15 15A18 15A69 65F15 65F10 65D40 68W20 PDF BibTeX XML Cite \textit{M. Che} et al., SIAM J. Matrix Anal. Appl. 41, No. 2, 605--636 (2020; Zbl 07206106) Full Text: DOI
Poskitt, Donald S. On singular spectrum analysis and stepwise time series reconstruction. (English) Zbl 1442.62204 J. Time Ser. Anal. 41, No. 1, 67-94 (2020). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 62M10 62M15 62G09 62H25 PDF BibTeX XML Cite \textit{D. S. Poskitt}, J. Time Ser. Anal. 41, No. 1, 67--94 (2020; Zbl 1442.62204) Full Text: DOI
Shen, Yuan; Liu, Xin An alternating minimization method for matrix completion problems. (English) Zbl 1441.15020 Discrete Contin. Dyn. Syst., Ser. S 13, No. 6, 1757-1772 (2020). MSC: 15A83 15A23 15A18 65F15 65K05 90C06 PDF BibTeX XML Cite \textit{Y. Shen} and \textit{X. Liu}, Discrete Contin. Dyn. Syst., Ser. S 13, No. 6, 1757--1772 (2020; Zbl 1441.15020) Full Text: DOI
Abłamowicz, Rafał The Moore-Penrose inverse and singular value decomposition of split quaternions. (English) Zbl 1444.15004 Adv. Appl. Clifford Algebr. 30, No. 3, Paper No. 33, 20 p. (2020). Reviewer: Hans-Peter Schröcker (Innsbruck) MSC: 15A09 15A18 15A66 15A23 PDF BibTeX XML Cite \textit{R. Abłamowicz}, Adv. Appl. Clifford Algebr. 30, No. 3, Paper No. 33, 20 p. (2020; Zbl 1444.15004) Full Text: DOI
Bouveyron, Charles; Latouche, Pierre; Mattei, Pierre-alexandre Exact dimensionality selection for Bayesian PCA. (English) Zbl 1442.62135 Scand. J. Stat. 47, No. 1, 196-211 (2020). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 62H25 62F07 62F15 PDF BibTeX XML Cite \textit{C. Bouveyron} et al., Scand. J. Stat. 47, No. 1, 196--211 (2020; Zbl 1442.62135) Full Text: DOI
Bossmann, Florian; Ma, Jianwei Enhanced image approximation using shifted rank-1 reconstruction. (English) Zbl 1439.65057 Inverse Probl. Imaging 14, No. 2, 267-290 (2020). MSC: 65F55 65F18 68W20 68U10 86A22 PDF BibTeX XML Cite \textit{F. Bossmann} and \textit{J. Ma}, Inverse Probl. Imaging 14, No. 2, 267--290 (2020; Zbl 1439.65057) Full Text: DOI
Wu, Nianci; Xiang, Hua Randomized QLP decomposition. (English) Zbl 1439.65060 Linear Algebra Appl. 599, 18-35 (2020). MSC: 65F55 65F15 68W20 PDF BibTeX XML Cite \textit{N. Wu} and \textit{H. Xiang}, Linear Algebra Appl. 599, 18--35 (2020; Zbl 1439.65060) Full Text: DOI
Miminis, George The feedback search algorithm: estimating the distance of semi-explicit systems to \(\mathcal{R}\)-uncontrollability. (English) Zbl 1441.93035 J. Comput. Appl. Math. 373, Article ID 112308, 16 p. (2020). MSC: 93B05 90C26 93B52 PDF BibTeX XML Cite \textit{G. Miminis}, J. Comput. Appl. Math. 373, Article ID 112308, 16 p. (2020; Zbl 1441.93035) Full Text: DOI
Liao, Liang; Maybank, Stephen John Generalized visual information analysis via tensorial algebra. (English) Zbl 1434.68588 J. Math. Imaging Vis. 62, No. 4, 560-584 (2020). MSC: 68T45 15A72 62H25 62H30 62H35 94A08 PDF BibTeX XML Cite \textit{L. Liao} and \textit{S. J. Maybank}, J. Math. Imaging Vis. 62, No. 4, 560--584 (2020; Zbl 1434.68588) Full Text: DOI
Baraket, Sami; Bazarbacha, Imen; Chetouane, Rima Singular limit solutions for a 2-dimensional semilinear elliptic system of Liouville type in some general case adding singular sources. I. (English) Zbl 1436.35148 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 196, Article ID 111799, 51 p. (2020). MSC: 35J57 35B25 46E35 65M55 PDF BibTeX XML Cite \textit{S. Baraket} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 196, Article ID 111799, 51 p. (2020; Zbl 1436.35148) Full Text: DOI
Baraket, Sami; Bazarbacha, Imen; Chetouane, Rima Singular limit solutions for a 2-dimensional semilinear elliptic system of Liouville type in some general case adding singular sources. II. (English) Zbl 1436.35182 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 196, Article ID 111677, 95 p. (2020). MSC: 35J65 35B25 46E35 65M55 PDF BibTeX XML Cite \textit{S. Baraket} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 196, Article ID 111677, 95 p. (2020; Zbl 1436.35182) Full Text: DOI
Yang, Chaojun; Zhang, Fuzhen Harnack type inequalities for matrices in majorization. (English) Zbl 1437.15028 Linear Algebra Appl. 588, 196-209 (2020). Reviewer: George Stoica (Saint John) MSC: 15A42 15A45 15A18 47L25 PDF BibTeX XML Cite \textit{C. Yang} and \textit{F. Zhang}, Linear Algebra Appl. 588, 196--209 (2020; Zbl 1437.15028) Full Text: DOI
Zhao, Xinzhu; Dong, Bo; Yu, Bo Unfoldings and the rank-one approximation of the tensor. (English) Zbl 07183957 J. Comput. Appl. Math. 375, Article ID 112794, 11 p. (2020). MSC: 65 68 PDF BibTeX XML Cite \textit{X. Zhao} et al., J. Comput. Appl. Math. 375, Article ID 112794, 11 p. (2020; Zbl 07183957) Full Text: DOI
Chen, Ting-Li; Huang, Su-Yun; Wang, Weichung A consistency theorem for randomized singular value decomposition. (English) Zbl 1435.62215 Stat. Probab. Lett. 161, Article ID 108743, 6 p. (2020). MSC: 62H25 62R07 68W20 62-08 PDF BibTeX XML Cite \textit{T.-L. Chen} et al., Stat. Probab. Lett. 161, Article ID 108743, 6 p. (2020; Zbl 1435.62215) Full Text: DOI
Wang, Xuezhong; Che, Maolin; Wei, Yimin Tensor neural network models for tensor singular value decompositions. (English) Zbl 1441.65040 Comput. Optim. Appl. 75, No. 3, 753-777 (2020). MSC: 65F15 15A18 15A69 65F10 PDF BibTeX XML Cite \textit{X. Wang} et al., Comput. Optim. Appl. 75, No. 3, 753--777 (2020; Zbl 1441.65040) Full Text: DOI
Zhang, Feng; Wang, Wendong; Huang, Jianwen; Wang, Jianjun; Wang, Yao RIP-based performance guarantee for low-tubal-rank tensor recovery. (English) Zbl 07181164 J. Comput. Appl. Math. 374, Article ID 112767, 14 p. (2020). MSC: 90C25 65J22 53A45 15A69 PDF BibTeX XML Cite \textit{F. Zhang} et al., J. Comput. Appl. Math. 374, Article ID 112767, 14 p. (2020; Zbl 07181164) Full Text: DOI
Moon, Sunghwan Orthogonal function series formulas for inversion of the spherical Radon transform. (English) Zbl 1444.44003 Inverse Probl. 36, No. 3, Article ID 035007, 17 p. (2020). MSC: 44A12 PDF BibTeX XML Cite \textit{S. Moon}, Inverse Probl. 36, No. 3, Article ID 035007, 17 p. (2020; Zbl 1444.44003) Full Text: DOI
Cuyt, Annie; Lee, Wen-shin How to get high resolution results from sparse and coarsely sampled data. (English) Zbl 1442.94020 Appl. Comput. Harmon. Anal. 48, No. 3, 1066-1087 (2020). Reviewer: Manfred Tasche (Rostock) MSC: 94A12 41A30 65F15 65F20 PDF BibTeX XML Cite \textit{A. Cuyt} and \textit{W.-s. Lee}, Appl. Comput. Harmon. Anal. 48, No. 3, 1066--1087 (2020; Zbl 1442.94020) Full Text: DOI
Faßbender, Heike; Halwaß, Martin On the singular value decomposition of (skew-)involutory and (skew-)coninvolutory matrices. (English) Zbl 1433.15013 Spec. Matrices 8, 1-13 (2020). MSC: 15A18 15A23 PDF BibTeX XML Cite \textit{H. Faßbender} and \textit{M. Halwaß}, Spec. Matrices 8, 1--13 (2020; Zbl 1433.15013) Full Text: DOI
Ku, JaEun; Reichel, Lothar A novel iterative method for discrete Helmholtz decomposition. (English) Zbl 1440.65266 Appl. Numer. Math. 151, 161-171 (2020). MSC: 65N55 65N30 65F10 65F35 35J25 PDF BibTeX XML Cite \textit{J. Ku} and \textit{L. Reichel}, Appl. Numer. Math. 151, 161--171 (2020; Zbl 1440.65266) Full Text: DOI
Wu, Lei Boundary layer of transport equation with in-flow boundary. (English) Zbl 1435.35034 Arch. Ration. Mech. Anal. 235, No. 3, 2085-2169 (2020). MSC: 35B25 35F15 35B45 PDF BibTeX XML Cite \textit{L. Wu}, Arch. Ration. Mech. Anal. 235, No. 3, 2085--2169 (2020; Zbl 1435.35034) Full Text: DOI
Jiang, Tai-Xiang; Huang, Ting-Zhu; Zhao, Xi-Le; Deng, Liang-Jian Multi-dimensional imaging data recovery via minimizing the partial sum of tubal nuclear norm. (English) Zbl 1432.68530 J. Comput. Appl. Math. 372, Article ID 112680, 15 p. (2020). MSC: 68U10 15A69 62H25 68T05 PDF BibTeX XML Cite \textit{T.-X. Jiang} et al., J. Comput. Appl. Math. 372, Article ID 112680, 15 p. (2020; Zbl 1432.68530) Full Text: DOI
Mohammady, Somaieh; Eslahchi, M. R. Extension of Tikhonov regularization method using linear fractional programming. (English) Zbl 1441.47009 J. Comput. Appl. Math. 371, Article ID 112677, 16 p. (2020). Reviewer: Akhtar Khan (Rochester) MSC: 47A52 65F22 49K40 65N20 PDF BibTeX XML Cite \textit{S. Mohammady} and \textit{M. R. Eslahchi}, J. Comput. Appl. Math. 371, Article ID 112677, 16 p. (2020; Zbl 1441.47009) Full Text: DOI
Xu, Xuefeng On the perturbation of the Moore-Penrose inverse of a matrix. (English) Zbl 1433.65067 Appl. Math. Comput. 374, Article ID 124920, 9 p. (2020). MSC: 65F20 15A09 15A18 47A55 65F35 65F10 65F15 PDF BibTeX XML Cite \textit{X. Xu}, Appl. Math. Comput. 374, Article ID 124920, 9 p. (2020; Zbl 1433.65067) Full Text: DOI
Xie, Fangzhou Wasserstein index generation model: automatic generation of time-series index with application to economic policy uncertainty. (English) Zbl 1429.91248 Econ. Lett. 186, Article ID 108874, 3 p. (2020). MSC: 91B82 91B84 PDF BibTeX XML Cite \textit{F. Xie}, Econ. Lett. 186, Article ID 108874, 3 p. (2020; Zbl 1429.91248) Full Text: DOI
Rangan, Aaditya; Spivak, Marina; Andén, Joakim; Barnett, Alex Factorization of the translation kernel for fast rigid image alignment. (English) Zbl 07161829 Inverse Probl. 36, No. 2, Article ID 024001, 29 p. (2020). MSC: 94A 92C 65K PDF BibTeX XML Cite \textit{A. Rangan} et al., Inverse Probl. 36, No. 2, Article ID 024001, 29 p. (2020; Zbl 07161829) Full Text: DOI
Fareed, Hiba; Singler, John R. Error analysis of an incremental proper orthogonal decomposition algorithm for PDE simulation data. (English) Zbl 07161528 J. Comput. Appl. Math. 368, Article ID 112525, 14 p. (2020). MSC: 65F 15A18 PDF BibTeX XML Cite \textit{H. Fareed} and \textit{J. R. Singler}, J. Comput. Appl. Math. 368, Article ID 112525, 14 p. (2020; Zbl 07161528) Full Text: DOI
Xu, Xuefeng On the perturbation of an \(L^2\)-orthogonal projection. (English) Zbl 1433.65074 J. Comput. Appl. Math. 368, Article ID 112327, 17 p. (2020). MSC: 65F35 65F15 65F20 15A18 47A55 PDF BibTeX XML Cite \textit{X. Xu}, J. Comput. Appl. Math. 368, Article ID 112327, 17 p. (2020; Zbl 1433.65074) Full Text: DOI
Shirokov, Dmitry On constant solutions of \(\mathrm{SU}(2)\) Yang-Mills equations with arbitrary current in Euclidean space \(\mathbb{R}^n \). (English) Zbl 1436.70012 J. Nonlinear Math. Phys. 27, No. 2, 199-218 (2020). MSC: 70S15 81T13 PDF BibTeX XML Cite \textit{D. Shirokov}, J. Nonlinear Math. Phys. 27, No. 2, 199--218 (2020; Zbl 1436.70012) Full Text: DOI
Gu, Longfei The Clifford Hilbert transform and Riemann-Hilbert problems associated to the Dirac operator in Lebesgue spaces. (English) Zbl 1433.30118 Appl. Math. Comput. 364, Article ID 124686, 14 p. (2020). MSC: 30G35 30E25 32A55 34B15 PDF BibTeX XML Cite \textit{L. Gu}, Appl. Math. Comput. 364, Article ID 124686, 14 p. (2020; Zbl 1433.30118) Full Text: DOI
Ding, Xiucai High dimensional deformed rectangular matrices with applications in matrix denoising. (English) Zbl 1439.15013 Bernoulli 26, No. 1, 387-417 (2020). MSC: 15B52 60B20 94A12 PDF BibTeX XML Cite \textit{X. Ding}, Bernoulli 26, No. 1, 387--417 (2020; Zbl 1439.15013) Full Text: DOI Euclid arXiv
Ma, Ru-Ru; Bai, Zheng-Jian A structure-preserving one-sided Jacobi method for computing the SVD of a quaternion matrix. (English) Zbl 1432.65045 Appl. Numer. Math. 147, 101-117 (2020). MSC: 65F15 PDF BibTeX XML Cite \textit{R.-R. Ma} and \textit{Z.-J. Bai}, Appl. Numer. Math. 147, 101--117 (2020; Zbl 1432.65045) Full Text: DOI arXiv
Chen, Duan; Cai, Wei An \(O(N \log N)\) hierarchical random compression method for kernel matrices by sampling partial matrix entries. (English) Zbl 07302148 J. Comput. Phys. 397, Article ID 108828, 21 p. (2019). MSC: 65F55 PDF BibTeX XML Cite \textit{D. Chen} and \textit{W. Cai}, J. Comput. Phys. 397, Article ID 108828, 21 p. (2019; Zbl 07302148) Full Text: DOI
Yu, Ting; Yuan, Chaofeng; Zhou, Ying; Ma, Weijun Genome-wide association detection based on a Logistic singular value decomposition model. (English) Zbl 07266930 J. Nat. Sci. Heilongjiang Univ. 36, No. 6, 661-667 (2019). MSC: 62P10 92D10 62H20 PDF BibTeX XML Cite \textit{T. Yu} et al., J. Nat. Sci. Heilongjiang Univ. 36, No. 6, 661--667 (2019; Zbl 07266930) Full Text: DOI
Qu, Hongyan; Wang, Huakun; Zhou, Ying; Tian, Tian; Yue, Yuwei Gene expression data clustering method based on stable sparse principal component. (Chinese. English summary) Zbl 1449.62252 J. Nat. Sci. Heilongjiang Univ. 36, No. 4, 401-408 (2019). MSC: 62P10 62H30 62H25 PDF BibTeX XML Cite \textit{H. Qu} et al., J. Nat. Sci. Heilongjiang Univ. 36, No. 4, 401--408 (2019; Zbl 1449.62252) Full Text: DOI
Hansen, Thorkild B.; Marengo, Edwin A. SVD solutions to inverse source problems in the time domain: application to complex point sources. (English) Zbl 07222040 Wave Motion 89, 93-103 (2019). MSC: 35 65 PDF BibTeX XML Cite \textit{T. B. Hansen} and \textit{E. A. Marengo}, Wave Motion 89, 93--103 (2019; Zbl 07222040) Full Text: DOI
Li, S.; Trevelyan, J.; Wu, Z.; Lian, H.; Wang, D.; Zhang, W. An adaptive SVD-Krylov reduced order model for surrogate based structural shape optimization through isogeometric boundary element method. (English) Zbl 1441.74187 Comput. Methods Appl. Mech. Eng. 349, 312-338 (2019). MSC: 74P20 74S15 65D07 65N38 PDF BibTeX XML Cite \textit{S. Li} et al., Comput. Methods Appl. Mech. Eng. 349, 312--338 (2019; Zbl 1441.74187) Full Text: DOI
Volkov, V. G.; Dem’yanov, D. N. Application of matrix decompositions for matrix canonization. (English. Russian original) Zbl 1435.65062 Comput. Math. Math. Phys. 59, No. 11, 1759-1770 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 11, 1823-1835 (2019). MSC: 65F20 15A23 65F10 PDF BibTeX XML Cite \textit{V. G. Volkov} and \textit{D. N. Dem'yanov}, Comput. Math. Math. Phys. 59, No. 11, 1759--1770 (2019; Zbl 1435.65062); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 11, 1823--1835 (2019) Full Text: DOI
Gräßle, Carmen; Hinze, Michael; Lang, Jens; Ullmann, Sebastian POD model order reduction with space-adapted snapshots for incompressible flows. (English) Zbl 1435.65157 Adv. Comput. Math. 45, No. 5-6, 2401-2428 (2019). MSC: 65M60 65M06 65M12 35B35 15A18 35Q30 65K05 76D05 PDF BibTeX XML Cite \textit{C. Gräßle} et al., Adv. Comput. Math. 45, No. 5--6, 2401--2428 (2019; Zbl 1435.65157) Full Text: DOI
Jankowski, Norbert; Linowiecki, Rafał A fast neural network learning algorithm with approximate singular value decomposition. (English) Zbl 1430.68277 Int. J. Appl. Math. Comput. Sci. 29, No. 3, 581-594 (2019). MSC: 68T07 15A09 62H25 65F20 PDF BibTeX XML Cite \textit{N. Jankowski} and \textit{R. Linowiecki}, Int. J. Appl. Math. Comput. Sci. 29, No. 3, 581--594 (2019; Zbl 1430.68277) Full Text: DOI
Nazarov, V. G. Problem of partial identification of unknown medium. (Russian. English summary) Zbl 1433.92076 Dal’nevost. Mat. Zh. 19, No. 1, 43-62 (2019). MSC: 92E99 78A40 PDF BibTeX XML Cite \textit{V. G. Nazarov}, Dal'nevost. Mat. Zh. 19, No. 1, 43--62 (2019; Zbl 1433.92076) Full Text: MNR Link
Cordero, Alicia; Torregrosa, Juan R.; Zafar, Fiza Approximating the inverse and the Moore-Penrose inverse of complex matrices. (English) Zbl 1431.65031 Math. Methods Appl. Sci. 42, No. 17, 5920-5928 (2019). MSC: 65F20 15A09 15A18 15A23 PDF BibTeX XML Cite \textit{A. Cordero} et al., Math. Methods Appl. Sci. 42, No. 17, 5920--5928 (2019; Zbl 1431.65031) Full Text: DOI
Salehi Shayegan, Amir Hossein; Zakeri, Ali Quasi solution of a backward space fractional diffusion equation. (English) Zbl 1434.65232 J. Inverse Ill-Posed Probl. 27, No. 6, 795-814 (2019). MSC: 65N21 65N20 65N30 65N12 65F22 35R11 35R30 15A18 PDF BibTeX XML Cite \textit{A. H. Salehi Shayegan} and \textit{A. Zakeri}, J. Inverse Ill-Posed Probl. 27, No. 6, 795--814 (2019; Zbl 1434.65232) Full Text: DOI
Zhang, Anru; Han, Rungang Optimal sparse singular value decomposition for high-dimensional high-order data. (English) Zbl 1428.62262 J. Am. Stat. Assoc. 114, No. 528, 1708-1725 (2019). MSC: 62H25 62G05 PDF BibTeX XML Cite \textit{A. Zhang} and \textit{R. Han}, J. Am. Stat. Assoc. 114, No. 528, 1708--1725 (2019; Zbl 1428.62262) Full Text: DOI arXiv
Babenko, V. N. On the structure of closeness estimates for pseudosolutions of initial and perturbed systems of linear algebraic equations. (English. Russian original) Zbl 1428.15002 Comput. Math. Math. Phys. 59, No. 9, 1399-1421 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 9, 1459-1481 (2019). MSC: 15A06 65F05 65F20 PDF BibTeX XML Cite \textit{V. N. Babenko}, Comput. Math. Math. Phys. 59, No. 9, 1399--1421 (2019; Zbl 1428.15002); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 9, 1459--1481 (2019) Full Text: DOI
Zhang, Hairui; Yuan, Yongxin Generalized inverse eigenvalue problems for Hermitian and \(J\)-Hamiltonian/skew-Hamiltonian matrices. (English) Zbl 1429.65082 Appl. Math. Comput. 361, 609-616 (2019). MSC: 65F18 15A24 15A18 PDF BibTeX XML Cite \textit{H. Zhang} and \textit{Y. Yuan}, Appl. Math. Comput. 361, 609--616 (2019; Zbl 1429.65082) Full Text: DOI
Moon, Sunghwan Orthogonal function series formulae for inversion of the conical Radon transform with a fixed central axis. (English) Zbl 07140033 Inverse Probl. 35, No. 12, Article ID 125007, 15 p. (2019). MSC: 53C65 PDF BibTeX XML Cite \textit{S. Moon}, Inverse Probl. 35, No. 12, Article ID 125007, 15 p. (2019; Zbl 07140033) Full Text: DOI
Markel, Vadim A.; Levinson, Howard; Schotland, John C. Fast linear inversion for highly overdetermined inverse scattering problems. (English) Zbl 1445.65011 Inverse Probl. 35, No. 12, Article ID 124002, 22 p. (2019). Reviewer: Constantin Popa (Constanţa) MSC: 65F20 65F35 47A40 PDF BibTeX XML Cite \textit{V. A. Markel} et al., Inverse Probl. 35, No. 12, Article ID 124002, 22 p. (2019; Zbl 1445.65011) Full Text: DOI
Griebel, Michael; Harbrecht, Helmut Singular value decomposition versus sparse grids: refined complexity estimates. (English) Zbl 07130803 IMA J. Numer. Anal. 39, No. 4, 1652-1671 (2019). MSC: 65 PDF BibTeX XML Cite \textit{M. Griebel} and \textit{H. Harbrecht}, IMA J. Numer. Anal. 39, No. 4, 1652--1671 (2019; Zbl 07130803) Full Text: DOI
Ibryaeva, Ol’ga Leonidovna; Shestakov, Aleksandr Leonidovich; Fedosov, Ivan Igor’evich Recursive multi-channel matrix pencil method. (Russian. English summary) Zbl 1425.94029 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 12, No. 2, 97-111 (2019). MSC: 94A12 PDF BibTeX XML Cite \textit{O. L. Ibryaeva} et al., Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 12, No. 2, 97--111 (2019; Zbl 1425.94029) Full Text: DOI MNR
Zhang, Liping; Zhang, Guoshan; Liu, Wanquan Optimal control of second-order and high-order descriptor systems. (English) Zbl 1427.49022 Optim. Control Appl. Methods 40, No. 4, 791-806 (2019). MSC: 49K15 PDF BibTeX XML Cite \textit{L. Zhang} et al., Optim. Control Appl. Methods 40, No. 4, 791--806 (2019; Zbl 1427.49022) Full Text: DOI
Shen, Yuan; Xu, Hongyu; Liu, Xin An alternating minimization method for robust principal component analysis. (English) Zbl 1436.65071 Optim. Methods Softw. 34, No. 6, 1251-1276 (2019). MSC: 65K05 90C06 62H25 PDF BibTeX XML Cite \textit{Y. Shen} et al., Optim. Methods Softw. 34, No. 6, 1251--1276 (2019; Zbl 1436.65071) Full Text: DOI
Guan, Yu; Chu, Delin Numerical computation for orthogonal low-rank approximation of tensors. (English) Zbl 1435.65064 SIAM J. Matrix Anal. Appl. 40, No. 3, 1047-1065 (2019). MSC: 65F25 65F20 65F55 15A69 65J10 68W25 PDF BibTeX XML Cite \textit{Y. Guan} and \textit{D. Chu}, SIAM J. Matrix Anal. Appl. 40, No. 3, 1047--1065 (2019; Zbl 1435.65064) Full Text: DOI
Kamel, Nidal; Kajo, Ibrahim; Ruichek, Yassine On visual periodicity estimation using singular value decomposition. (English) Zbl 07122006 J. Math. Imaging Vis. 61, No. 8, 1135-1153 (2019). MSC: 68 94 PDF BibTeX XML Cite \textit{N. Kamel} et al., J. Math. Imaging Vis. 61, No. 8, 1135--1153 (2019; Zbl 07122006) Full Text: DOI
Abalos, Fernando A necessary condition ensuring the strong hyperbolicity of first-order systems. (English) Zbl 1437.35455 J. Hyperbolic Differ. Equ. 16, No. 1, 193-221 (2019). MSC: 35L40 PDF BibTeX XML Cite \textit{F. Abalos}, J. Hyperbolic Differ. Equ. 16, No. 1, 193--221 (2019; Zbl 1437.35455) Full Text: DOI
Wang, Caifang Properties of subgradient projection iteration when applying to linear imaging system. (English) Zbl 1429.90077 Optim. Lett. 13, No. 6, 1285-1297 (2019). MSC: 90C30 PDF BibTeX XML Cite \textit{C. Wang}, Optim. Lett. 13, No. 6, 1285--1297 (2019; Zbl 1429.90077) Full Text: DOI
Martinsson, P. G.; Quintana-Ortí, G.; Heavner, N. randUTV: a blocked randomized algorithm for computing a rank-revealing UTV factorization. (English) Zbl 07119123 ACM Trans. Math. Softw. 45, No. 1, Article No. 4, 26 p. (2019). MSC: 65 PDF BibTeX XML Cite \textit{P. G. Martinsson} et al., ACM Trans. Math. Softw. 45, No. 1, Article No. 4, 26 p. (2019; Zbl 07119123) Full Text: DOI