Lu, Cheng; Ma, Jitao; Deng, Zhibin; Xing, Wenxun A graphic structure based branch-and-bound algorithm for complex quadratic optimization and applications to magnitude least-square problem. (English) Zbl 07795430 J. Glob. Optim. 88, No. 1, 115-137 (2024). MSC: 90Cxx PDFBibTeX XMLCite \textit{C. Lu} et al., J. Glob. Optim. 88, No. 1, 115--137 (2024; Zbl 07795430) Full Text: DOI
Mai, Ngoc Hoang Anh; Magron, Victor; Lasserre, Jean A sparse version of Reznick’s Positivstellensatz. (English) Zbl 07808968 Math. Oper. Res. 48, No. 2, 812-833 (2023). MSC: 90C22 90C23 PDFBibTeX XMLCite \textit{N. H. A. Mai} et al., Math. Oper. Res. 48, No. 2, 812--833 (2023; Zbl 07808968) Full Text: DOI arXiv
Lu, Cheng; Deng, Zhibin; Fang, Shu-Cherng; Xing, Wenxun A new global algorithm for max-cut problem with chordal sparsity. (English) Zbl 1519.90207 J. Optim. Theory Appl. 197, No. 2, 608-638 (2023). MSC: 90C27 90C20 90C57 PDFBibTeX XMLCite \textit{C. Lu} et al., J. Optim. Theory Appl. 197, No. 2, 608--638 (2023; Zbl 1519.90207) Full Text: DOI
Lu, K. L. How can we identify the sparsity structure pattern of high-dimensional data: an elementary statistical analysis to interpretable machine learning. (English) Zbl 07581887 Math. Notes 112, No. 2, 223-238 (2022). MSC: 62Gxx 62Jxx 62Hxx PDFBibTeX XMLCite \textit{K. L. Lu}, Math. Notes 112, No. 2, 223--238 (2022; Zbl 07581887) Full Text: DOI
Klep, Igor; Magron, Victor; Povh, Janez Sparse noncommutative polynomial optimization. (English) Zbl 1494.90072 Math. Program. 193, No. 2 (B), 789-829 (2022). MSC: 90C23 90C22 47N10 13J10 PDFBibTeX XMLCite \textit{I. Klep} et al., Math. Program. 193, No. 2 (B), 789--829 (2022; Zbl 1494.90072) Full Text: DOI arXiv Link
Kalina, Jan; Matonoha, Ctirad Robustness of supervised learning based on combined centroids. (English) Zbl 1497.68425 Rutkowski, Leszek (ed.) et al., Artificial intelligence and soft computing. 20th international conference, ICAISC 2021, virtual event, June 21–23, 2021. Proceedings. Part II. Cham: Springer. Lect. Notes Comput. Sci. 12855, 171-182 (2021). MSC: 68T05 68T10 PDFBibTeX XMLCite \textit{J. Kalina} and \textit{C. Matonoha}, Lect. Notes Comput. Sci. 12855, 171--182 (2021; Zbl 1497.68425) Full Text: DOI
Wang, Jie; Magron, Victor; Lasserre, Jean-Bernard Chordal-TSSOS: a moment-SOS hierarchy that exploits term sparsity with chordal extension. (English) Zbl 1457.90106 SIAM J. Optim. 31, No. 1, 114-141 (2021). MSC: 90C22 65K05 90C26 05C15 14P10 12D15 PDFBibTeX XMLCite \textit{J. Wang} et al., SIAM J. Optim. 31, No. 1, 114--141 (2021; Zbl 1457.90106) Full Text: DOI arXiv
Kolotilina, L. Yu. Some bounds for inverses involving matrix sparsity pattern. (English. Russian original) Zbl 1448.15008 J. Math. Sci., New York 249, No. 2, 242-255 (2020); translation from Zap. Nauchn. Semin. POMI 482, 201-219 (2019). MSC: 15A09 15A45 PDFBibTeX XMLCite \textit{L. Yu. Kolotilina}, J. Math. Sci., New York 249, No. 2, 242--255 (2020; Zbl 1448.15008); translation from Zap. Nauchn. Semin. POMI 482, 201--219 (2019) Full Text: DOI
Belton, Alexander; Guillot, Dominique; Khare, Apoorva; Putinar, Mihai A panorama of positivity. II: Fixed dimension. (English) Zbl 1452.15021 Dales, H. Garth (ed.) et al., Complex analysis and spectral theory. Conference in celebration of Thomas Ransford’s 60th birthday, Laval University, Québec, Canada, May 21–25, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 743, 109-150 (2020). Reviewer: Mihail Voicu (Iaşi) MSC: 15B48 15B05 05E05 44A60 15A24 15A15 15A45 15A83 47B35 05C50 30E05 62J10 15-02 PDFBibTeX XMLCite \textit{A. Belton} et al., Contemp. Math. 743, 109--150 (2020; Zbl 1452.15021) Full Text: DOI
Lai, Yuanhao; McLeod, Ian Ensemble quantile classifier. (English) Zbl 1504.62081 Comput. Stat. Data Anal. 144, Article ID 106849, 18 p. (2020). MSC: 62H30 PDFBibTeX XMLCite \textit{Y. Lai} and \textit{I. McLeod}, Comput. Stat. Data Anal. 144, Article ID 106849, 18 p. (2020; Zbl 1504.62081) Full Text: DOI arXiv
Belachew, Melisew Tefera; Del Buono, Nicoletta Hybrid projective nonnegative matrix factorization based on \(\alpha \)-divergence and the alternating least squares algorithm. (English) Zbl 1433.62173 Appl. Math. Comput. 369, Article ID 124825, 14 p. (2020). MSC: 62H35 68T05 91C20 68T10 PDFBibTeX XMLCite \textit{M. T. Belachew} and \textit{N. Del Buono}, Appl. Math. Comput. 369, Article ID 124825, 14 p. (2020; Zbl 1433.62173) Full Text: DOI
Wang, Jie; Li, Haokun; Xia, Bican A new sparse SOS decomposition algorithm based on term sparsity. (English) Zbl 1467.68234 Bradford, Russell (ed.), Proceedings of the 44th international symposium on symbolic and algebraic computation, ISSAC ’19, Beijing, China, July 15–18, 2019. New York, NY: Association for Computing Machinery (ACM). 347-354 (2019). MSC: 68W30 90C22 PDFBibTeX XMLCite \textit{J. Wang} et al., in: Proceedings of the 44th international symposium on symbolic and algebraic computation, ISSAC '19, Beijing, China, July 15--18, 2019. New York, NY: Association for Computing Machinery (ACM). 347--354 (2019; Zbl 1467.68234) Full Text: DOI arXiv
Kolotilina, L. Yu. A new subclass of the class of nonsingular \(\mathcal{H} \)-matrices and related inclusion sets for eigenvalues and singular values. (English. Russian original) Zbl 1426.15008 J. Math. Sci., New York 240, No. 6, 813-821 (2019); translation from Zap. Nauchn. Semin. POMI 472, 166-178 (2018). MSC: 15A18 15B48 PDFBibTeX XMLCite \textit{L. Yu. Kolotilina}, J. Math. Sci., New York 240, No. 6, 813--821 (2019; Zbl 1426.15008); translation from Zap. Nauchn. Semin. POMI 472, 166--178 (2018) Full Text: DOI
Zhou, Jing Research of SWNMF with new iteration rules for facial feature extraction and recognition. (English) Zbl 1423.68404 Symmetry 11, No. 3, Paper No. 354, 16 p. (2019). MSC: 68T10 15A23 PDFBibTeX XMLCite \textit{J. Zhou}, Symmetry 11, No. 3, Paper No. 354, 16 p. (2019; Zbl 1423.68404) Full Text: DOI
Belton, Alexander; Guillot, Dominique; Khare, Apoorva; Putinar, Mihai A panorama of positivity. I: Dimension free. (English) Zbl 1475.15040 Aleman, Alexandru (ed.) et al., Analysis of operators on function spaces. The Serguei Shimorin memorial volume. Including extended versions of lectures of the conference in honor of the memory of Serguei Shimorin at the Mittag-Leffler Institute, Stockholm, Sweden in the summer of 2018. Cham: Springer. Trends Math., 117-165 (2019). MSC: 15B48 15B05 05E05 44A60 15A24 15A15 15A45 15A83 47B35 05C50 30E05 62J10 15-02 PDFBibTeX XMLCite \textit{A. Belton} et al., in: Analysis of operators on function spaces. The Serguei Shimorin memorial volume. Including extended versions of lectures of the conference in honor of the memory of Serguei Shimorin at the Mittag-Leffler Institute, Stockholm, Sweden in the summer of 2018. Cham: Springer. 117--165 (2019; Zbl 1475.15040) Full Text: DOI arXiv
Yu, Chuanbo; Nie, Rencan; Zhou, Dongming; He, Min Feature extraction algorithm of variable space collaborative representation discriminant analysis. (Chinese. English summary) Zbl 1438.68171 J. Yunnan Univ., Nat. Sci. 41, No. 1, 28-35 (2019). MSC: 68T10 68T05 PDFBibTeX XMLCite \textit{C. Yu} et al., J. Yunnan Univ., Nat. Sci. 41, No. 1, 28--35 (2019; Zbl 1438.68171) Full Text: DOI
Ehret, Thibaud; Davy, Axel; Morel, Jean-Michel; Delbracio, Mauricio Image anomalies: a review and synthesis of detection methods. (English) Zbl 1494.94006 J. Math. Imaging Vis. 61, No. 5, 710-743 (2019). MSC: 94A08 68U10 68T10 PDFBibTeX XMLCite \textit{T. Ehret} et al., J. Math. Imaging Vis. 61, No. 5, 710--743 (2019; Zbl 1494.94006) Full Text: DOI arXiv
Georgakis, Christos; Panagakis, Yannis; Pantic, Maja Dynamic behavior analysis via structured rank minimization. (English) Zbl 1458.68230 Int. J. Comput. Vis. 126, No. 2-4, 333-357 (2018). MSC: 68T45 68T05 68T10 PDFBibTeX XMLCite \textit{C. Georgakis} et al., Int. J. Comput. Vis. 126, No. 2--4, 333--357 (2018; Zbl 1458.68230) Full Text: DOI
Jiang, Wei; Zhang, Jie; Zhang, Yongqing Concept factorization by joint locality-constrained and \(\ell_{2,1}\)-norm regularization for image representation. (English) Zbl 1429.68262 J. Mult.-Val. Log. Soft Comput. 31, No. 1-2, 85-103 (2018). MSC: 68T10 68U10 PDFBibTeX XMLCite \textit{W. Jiang} et al., J. Mult.-Val. Log. Soft Comput. 31, No. 1--2, 85--103 (2018; Zbl 1429.68262) Full Text: Link
Hook, James; Scott, Jennifer; Tisseur, Françoise; Hogg, Jonathan A Max-plus approach to incomplete Cholesky factorization preconditioners. (English) Zbl 1392.65031 SIAM J. Sci. Comput. 40, No. 4, A1987-A2004 (2018). MSC: 65F08 65F30 65F50 15A80 PDFBibTeX XMLCite \textit{J. Hook} et al., SIAM J. Sci. Comput. 40, No. 4, A1987--A2004 (2018; Zbl 1392.65031) Full Text: DOI
Sankaran, Anush; Goswami, Gaurav; Vatsa, Mayank; Singh, Richa; Majumdar, Angshul Class sparsity signature based restricted Boltzmann machine. (English) Zbl 1428.68271 Pattern Recognition 61, 674-685 (2017). MSC: 68T07 68T10 68T45 PDFBibTeX XMLCite \textit{A. Sankaran} et al., Pattern Recognition 61, 674--685 (2017; Zbl 1428.68271) Full Text: DOI
Wei, Yutong; Lin, Kezheng A new face recognition method based on semi-supervised sparsity preserving projection algorithm. (Chinese. English summary) Zbl 1399.68176 J. Nat. Sci. Heilongjiang Univ. 34, No. 4, 499-504 (2017). MSC: 68T10 68T05 PDFBibTeX XMLCite \textit{Y. Wei} and \textit{K. Lin}, J. Nat. Sci. Heilongjiang Univ. 34, No. 4, 499--504 (2017; Zbl 1399.68176) Full Text: DOI
Magron, Victor; Constantinides, George; Donaldson, Alastair Certified roundoff error bounds using semidefinite programming. (English) Zbl 1380.65084 ACM Trans. Math. Softw. 43, No. 4, Article No. 34, 31 p. (2017). MSC: 65G50 90C22 PDFBibTeX XMLCite \textit{V. Magron} et al., ACM Trans. Math. Softw. 43, No. 4, Article No. 34, 31 p. (2017; Zbl 1380.65084) Full Text: DOI arXiv
Zhang, Lufang; Hu, Yaohua; Li, Chong; Yao, Jen-Chih A new linear convergence result for the iterative soft thresholding algorithm. (English) Zbl 1378.90087 Optimization 66, No. 7, 1177-1189 (2017). MSC: 90C48 90C20 PDFBibTeX XMLCite \textit{L. Zhang} et al., Optimization 66, No. 7, 1177--1189 (2017; Zbl 1378.90087) Full Text: DOI
Jia, Zhongxiao; Kang, Wenjie A residual based sparse approximate inverse preconditioning procedure for large sparse linear systems. (English) Zbl 1449.65044 Numer. Linear Algebra Appl. 24, No. 2, e2080, 13 p. (2017). MSC: 65F08 65F50 PDFBibTeX XMLCite \textit{Z. Jia} and \textit{W. Kang}, Numer. Linear Algebra Appl. 24, No. 2, e2080, 13 p. (2017; Zbl 1449.65044) Full Text: DOI arXiv
Jia, Kui; Chan, Tsung-Han; Zeng, Zinan; Gao, Shenghua; Wang, Gang; Zhang, Tianzhu; Ma, Yi ROML: a robust feature correspondence approach for matching objects in a set of images. (English) Zbl 1398.68583 Int. J. Comput. Vis. 117, No. 2, 173-197 (2016). MSC: 68T45 68T10 PDFBibTeX XMLCite \textit{K. Jia} et al., Int. J. Comput. Vis. 117, No. 2, 173--197 (2016; Zbl 1398.68583) Full Text: DOI arXiv
Davila, Randy; Kenter, Franklin Bounds for the zero forcing number of graphs with large girth. (English) Zbl 1416.05169 Theory Appl. Graphs 2, No. 2, Article 1, 8 p. (2015). MSC: 05C50 PDFBibTeX XMLCite \textit{R. Davila} and \textit{F. Kenter}, Theory Appl. Graphs 2, No. 2, Article 1, 8 p. (2015; Zbl 1416.05169) Full Text: DOI arXiv
Zhu, Pengfei; Zuo, Wangmeng; Zhang, Lei; Hu, Qinghua; Shiu, Simon C. K. Unsupervised feature selection by regularized self-representation. (English) Zbl 1373.68344 Pattern Recognition 48, No. 2, 438-446 (2015). MSC: 68T05 68T10 PDFBibTeX XMLCite \textit{P. Zhu} et al., Pattern Recognition 48, No. 2, 438--446 (2015; Zbl 1373.68344) Full Text: DOI
Liang, Jun; Zhang, Feiyun; Chen, Long; Li, Shihao; Gu, Shengqiang; Zhang, Wanwan A new multi-kernel discriminant analysis. (Chinese. English summary) Zbl 1349.68196 J. Southwest Jiaotong Univ. 50, No. 6, 1122-1129 (2015). MSC: 68T10 68T05 62H30 PDFBibTeX XMLCite \textit{J. Liang} et al., J. Southwest Jiaotong Univ. 50, No. 6, 1122--1129 (2015; Zbl 1349.68196) Full Text: DOI
Gou, Jianping; Zhan, Yongzhao; Zhang, Jianming; Shen, Xiangjun A discriminative sparsity locality preserving projections method. (Chinese. English summary) Zbl 1349.68194 J. Jiangsu Univ., Nat. Sci. 36, No. 6, 691-696 (2015). MSC: 68T10 68T05 PDFBibTeX XMLCite \textit{J. Gou} et al., J. Jiangsu Univ., Nat. Sci. 36, No. 6, 691--696 (2015; Zbl 1349.68194) Full Text: DOI
Pomparău, I.; Popa, C. Supplementary projections for the acceleration of Kaczmarz algorithm. (English) Zbl 1410.65117 Appl. Math. Comput. 232, 104-116 (2014). MSC: 65F20 65F10 PDFBibTeX XMLCite \textit{I. Pomparău} and \textit{C. Popa}, Appl. Math. Comput. 232, 104--116 (2014; Zbl 1410.65117) Full Text: DOI
Ding, Yitao; Zhang, Tuhui; Zhang, Hai The high-dimensional statistical analysis of sparse Group Lasso. (Chinese. English summary) Zbl 1313.68157 J. Northwest Univ., Nat. Sci. Ed. 44, No. 2, 177-182 (2014). MSC: 68T10 68T05 PDFBibTeX XMLCite \textit{Y. Ding} et al., J. Northwest Univ., Nat. Sci. Ed. 44, No. 2, 177--182 (2014; Zbl 1313.68157)
Ma, Xiaohu; Tan, Yanqi Face recognition based on discriminant sparsity preserving embedding. (Chinese. English summary) Zbl 1313.68173 Acta Autom. Sin. 40, No. 1, 73-82 (2014). MSC: 68T10 68T05 PDFBibTeX XMLCite \textit{X. Ma} and \textit{Y. Tan}, Acta Autom. Sin. 40, No. 1, 73--82 (2014; Zbl 1313.68173)
Canuto, C.; Simoncini, V.; Verani, M. On the decay of the inverse of matrices that are sum of Kronecker products. (English) Zbl 1291.65144 Linear Algebra Appl. 452, 21-39 (2014). MSC: 65F50 15A09 PDFBibTeX XMLCite \textit{C. Canuto} et al., Linear Algebra Appl. 452, 21--39 (2014; Zbl 1291.65144) Full Text: DOI arXiv
Byckling, Mikko; Huhtanen, Marko Preconditioning with direct approximate factoring of the inverse. (English) Zbl 1290.65024 SIAM J. Sci. Comput. 36, No. 1, A88-A104 (2014). MSC: 65F08 65F10 65Y05 PDFBibTeX XMLCite \textit{M. Byckling} and \textit{M. Huhtanen}, SIAM J. Sci. Comput. 36, No. 1, A88--A104 (2014; Zbl 1290.65024) Full Text: DOI arXiv
Xu, Wei; Coleman, Thomas F. Efficient (partial) determination of derivative matrices via automatic differentiation. (English) Zbl 1275.65016 SIAM J. Sci. Comput. 35, No. 3, A1398-A1416 (2013). MSC: 65D25 65H10 65K05 90C30 90C05 PDFBibTeX XMLCite \textit{W. Xu} and \textit{T. F. Coleman}, SIAM J. Sci. Comput. 35, No. 3, A1398--A1416 (2013; Zbl 1275.65016) Full Text: DOI
Rigollet, Philippe; Tsybakov, Alexandre B. Sparse estimation by exponential weighting. (English) Zbl 1331.62351 Stat. Sci. 27, No. 4, 558-575 (2012). MSC: 62J07 62G08 62F15 PDFBibTeX XMLCite \textit{P. Rigollet} and \textit{A. B. Tsybakov}, Stat. Sci. 27, No. 4, 558--575 (2012; Zbl 1331.62351) Full Text: DOI arXiv Euclid
Comminges, Laëtitia; Dalalyan, Arnak S. Tight conditions for consistency of variable selection in the context of high dimensionality. (English) Zbl 1373.62154 Ann. Stat. 40, No. 5, 2667-2696 (2012). MSC: 62G08 62G20 62H12 62J05 PDFBibTeX XMLCite \textit{L. Comminges} and \textit{A. S. Dalalyan}, Ann. Stat. 40, No. 5, 2667--2696 (2012; Zbl 1373.62154) Full Text: DOI arXiv Euclid
Yan, Xuemei; Zhang, Limei; Guo, Wenbin Dual-sparsity preserving projection. (English) Zbl 1274.68654 Trans. Nanjing Univ. Aeronaut. Astronaut. 29, No. 3, 284-288 (2012). MSC: 68U10 68T10 PDFBibTeX XMLCite \textit{X. Yan} et al., Trans. Nanjing Univ. Aeronaut. Astronaut. 29, No. 3, 284--288 (2012; Zbl 1274.68654)
Dossal, Charles; Chabanol, Marie-Line; Peyré, Gabriel; Fadili, Jalal Sharp support recovery from noisy random measurements by \(\ell_1\)-minimization. (English) Zbl 1264.94083 Appl. Comput. Harmon. Anal. 33, No. 1, 24-43 (2012). MSC: 94A20 90C90 94A12 PDFBibTeX XMLCite \textit{C. Dossal} et al., Appl. Comput. Harmon. Anal. 33, No. 1, 24--43 (2012; Zbl 1264.94083) Full Text: DOI
Rebai, Ahmed; Joly, Alexis; Boujemaa, Nozha Blasso for object categorization and retrieval: towards interpretable visual models. (English) Zbl 1234.68355 Pattern Recognition 45, No. 6, 2377-2389 (2012). MSC: 68T10 PDFBibTeX XMLCite \textit{A. Rebai} et al., Pattern Recognition 45, No. 6, 2377--2389 (2012; Zbl 1234.68355) Full Text: DOI
Lee, Eun-Joo; Zhang, Jun Factored approximate inverse preconditioners with dynamic sparsity patterns. (English) Zbl 1228.65047 Comput. Math. Appl. 62, No. 1, 235-242 (2011). MSC: 65F08 PDFBibTeX XMLCite \textit{E.-J. Lee} and \textit{J. Zhang}, Comput. Math. Appl. 62, No. 1, 235--242 (2011; Zbl 1228.65047) Full Text: DOI
Kung, S. Y.; Luo, Yuhui Recursive kernel trick for network segmentation. (English) Zbl 1230.68170 Int. J. Robust Nonlinear Control 21, No. 15, 1807-1822 (2011). MSC: 68T05 68T10 05C70 PDFBibTeX XMLCite \textit{S. Y. Kung} and \textit{Y. Luo}, Int. J. Robust Nonlinear Control 21, No. 15, 1807--1822 (2011; Zbl 1230.68170) Full Text: DOI
Hernández-Lobato, Jose Miguel; Hernández-Lobato, Daniel; Suárez, Alberto Network-based sparse Bayesian classification. (English) Zbl 1213.68528 Pattern Recognition 44, No. 4, 886-900 (2011). MSC: 68T10 PDFBibTeX XMLCite \textit{J. M. Hernández-Lobato} et al., Pattern Recognition 44, No. 4, 886--900 (2011; Zbl 1213.68528) Full Text: DOI
Gillis, Nicolas; Glineur, François Using underapproximations for sparse nonnegative matrix factorization. (English) Zbl 1191.68783 Pattern Recognition 43, No. 4, 1676-1687 (2010). MSC: 68U10 68T10 PDFBibTeX XMLCite \textit{N. Gillis} and \textit{F. Glineur}, Pattern Recognition 43, No. 4, 1676--1687 (2010; Zbl 1191.68783) Full Text: DOI arXiv
De Kerchove, Cristobald; Van Dooren, Paul Reputation systems and nonnegativity. (English) Zbl 1183.91040 Bru, Rafael (ed.) et al., Positive systems. Proceedings of the third multidisciplinary international symposium on positive systems: theory and applications (POSTA 09), Valencia, Spain, September 2–4, 2009. Berlin: Springer (ISBN 978-3-642-02893-9/pbk; 978-3-642-02894-6/ebook). Lecture Notes in Control and Information Sciences 389, 3-16 (2009). MSC: 91B12 15B48 PDFBibTeX XMLCite \textit{C. De Kerchove} and \textit{P. Van Dooren}, Lect. Notes Control Inf. Sci. 389, 3--16 (2009; Zbl 1183.91040) Full Text: DOI
Harrison, Robert F.; Pasupa, Kitsuchart Sparse multinomial kernel discriminant analysis (sMKDA). (English) Zbl 1178.68493 Pattern Recognition 42, No. 9, 1795-1802 (2009). MSC: 68T10 PDFBibTeX XMLCite \textit{R. F. Harrison} and \textit{K. Pasupa}, Pattern Recognition 42, No. 9, 1795--1802 (2009; Zbl 1178.68493) Full Text: DOI Link
Peleg, Dori; Meir, Ron A sparsity driven kernel machine based on minimizing a generalization error bound. (English) Zbl 1175.68385 Pattern Recognition 42, No. 11, 2607-2614 (2009). MSC: 68T10 68T05 PDFBibTeX XMLCite \textit{D. Peleg} and \textit{R. Meir}, Pattern Recognition 42, No. 11, 2607--2614 (2009; Zbl 1175.68385) Full Text: DOI
Peleg, Dori; Meir, Ron A bilinear formulation for vector sparsity optimization. (English) Zbl 1186.94273 Signal Process. 88, No. 2, 375-389 (2008). MSC: 94A12 PDFBibTeX XMLCite \textit{D. Peleg} and \textit{R. Meir}, Signal Process. 88, No. 2, 375--389 (2008; Zbl 1186.94273) Full Text: DOI
Brualdi, Richard A.; Pei, Pei; Zhan, Xingzhi An extremal sparsity property of the Jordan canonical form. (English) Zbl 1156.15003 Linear Algebra Appl. 429, No. 10, 2367-2372 (2008). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15A21 PDFBibTeX XMLCite \textit{R. A. Brualdi} et al., Linear Algebra Appl. 429, No. 10, 2367--2372 (2008; Zbl 1156.15003) Full Text: DOI
Bueno, M. I.; Johnson, C. R. Minimum deviation, quasi-LU factorization of nonsingular matrices. (English) Zbl 1133.15013 Linear Algebra Appl. 427, No. 1, 99-118 (2007). Reviewer: Erich W. Ellers (Toronto) MSC: 15A23 15A21 05A05 05B25 PDFBibTeX XMLCite \textit{M. I. Bueno} and \textit{C. R. Johnson}, Linear Algebra Appl. 427, No. 1, 99--118 (2007; Zbl 1133.15013) Full Text: DOI
Zhang, Yong; Huang, Ting-Zhu; Liu, Xing-Ping; Gu, Tong-Xiang A class of preconditioners based on the \((I+S(\alpha))\)-type preconditioning matrices for solving linear systems. (English) Zbl 1243.65042 Appl. Math. Comput. 189, No. 2, 1737-1748 (2007). MSC: 65F10 65F35 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Appl. Math. Comput. 189, No. 2, 1737--1748 (2007; Zbl 1243.65042) Full Text: DOI
Tsybakov, A. B.; van de Geer, S. A. Square root penalty: Adaption to the margin in classification and in edge estimation. (English) Zbl 1080.62047 Ann. Stat. 33, No. 3, 1203-1224 (2005). MSC: 62H30 62G07 62G08 68T10 PDFBibTeX XMLCite \textit{A. B. Tsybakov} and \textit{S. A. van de Geer}, Ann. Stat. 33, No. 3, 1203--1224 (2005; Zbl 1080.62047) Full Text: DOI arXiv
Kolotilina, L. Yu. Bounds for the singular values of a matrix involving its sparsity pattern. (Russian, English) Zbl 1081.15529 Zap. Nauchn. Semin. POMI 323, 57-68 (2005); translation in J. Math. Sci., New York 137, No. 3, 4794-4800 (2007). MSC: 15A42 15B48 PDFBibTeX XMLCite \textit{L. Yu. Kolotilina}, Zap. Nauchn. Semin. POMI 323, 57--68 (2005; Zbl 1081.15529); translation in J. Math. Sci., New York 137, No. 3, 4794--4800 (2007) Full Text: EuDML Link
Hwang, Suk-Geun; Kim, Ik-Pyo; Kim, Si-Ju; Lee, Sang-Gu The number of zeros of a tight sign-central matrix. (English) Zbl 1084.15020 Linear Algebra Appl. 407, 296-310 (2005). Reviewer: Witold Wiȩsław (Wrocław) MSC: 15B57 15A06 05B20 PDFBibTeX XMLCite \textit{S.-G. Hwang} et al., Linear Algebra Appl. 407, 296--310 (2005; Zbl 1084.15020) Full Text: DOI
Wang, Kai; Kim, Sangbae; Zhang, Jun A comparative study on dynamic and static sparsity patterns in parallel sparse approximate inverse preconditioning. (English) Zbl 1047.65022 J. Math. Model. Algorithms 2, No. 3, 203-215 (2003). MSC: 65F10 65F50 65F35 65Y05 35J25 65N06 PDFBibTeX XMLCite \textit{K. Wang} et al., J. Math. Model. Algorithms 2, No. 3, 203--215 (2003; Zbl 1047.65022) Full Text: DOI
Yeremin, A. Yu.; Nikishin, A. A. Factorized-sparse-approximate-inverse preconditionings of linear systems with unsymmetric matrices. (English. Russian original) Zbl 1071.65066 J. Math. Sci., New York 121, No. 4, 2448-2457 (2004); translation from Zap. Nauchn. Semin. POMI 284, 18-35 (2002). MSC: 65F35 65F10 65F50 PDFBibTeX XMLCite \textit{A. Yu. Yeremin} and \textit{A. A. Nikishin}, J. Math. Sci., New York 121, No. 4, 2448--2457 (2002; Zbl 1071.65066); translation from Zap. Nauchn. Semin. POMI 284, 18--35 (2002) Full Text: DOI
Mittal, R. C.; Al-Kurdi, Ahmad Efficient solution of a sparse non-symmetric system of linear equations. (English) Zbl 0996.65029 Int. J. Comput. Math. 79, No. 4, 449-463 (2002). MSC: 65F05 65Y20 65F50 65F35 65F10 PDFBibTeX XMLCite \textit{R. C. Mittal} and \textit{A. Al-Kurdi}, Int. J. Comput. Math. 79, No. 4, 449--463 (2002; Zbl 0996.65029) Full Text: DOI
Huckle, Thomas Approximate sparsity patterns for the inverse of a matrix and preconditioning. (English) Zbl 0927.65045 Appl. Numer. Math. 30, No. 2-3, 291-303 (1999). Reviewer: R.P.Tewarson (Stony Brook) MSC: 65F05 65F35 65F50 PDFBibTeX XMLCite \textit{T. Huckle}, Appl. Numer. Math. 30, No. 2--3, 291--303 (1999; Zbl 0927.65045) Full Text: DOI
Iwata, S.; Olesky, D. D.; van den Driessche, P. Patterns that preserve sparsity in orthogonal factorization. (English) Zbl 0891.15008 Linear Algebra Appl. 268, 345-354 (1998). Reviewer: D.Raghavarao (Philadelphia) MSC: 15A23 65F50 65F05 05C50 PDFBibTeX XMLCite \textit{S. Iwata} et al., Linear Algebra Appl. 268, 345--354 (1998; Zbl 0891.15008) Full Text: DOI
Shaked-Monderer, Naomi Extremal positive semidefinite matrices with given sparsity pattern. (English) Zbl 0805.15023 Linear Multilinear Algebra 36, No. 4, 287-292 (1994). Reviewer: S.Sridhar (Madras) MSC: 15A60 15A30 15A03 PDFBibTeX XMLCite \textit{N. Shaked-Monderer}, Linear Multilinear Algebra 36, No. 4, 287--292 (1994; Zbl 0805.15023) Full Text: DOI
Petrova, S. I. An efficient implementation of certain iterative refinement preconditioners. (English) Zbl 0797.65027 Computing 52, No. 1, 51-63 (1994). Reviewer: R.Blaheta (Ostrava) MSC: 65F10 65F35 65F50 65N22 PDFBibTeX XMLCite \textit{S. I. Petrova}, Computing 52, No. 1, 51--63 (1994; Zbl 0797.65027) Full Text: DOI
Johnson, Charles R.; Lundquist, Michael Matrices with chordal inverse zero-patterns. (English) Zbl 0787.15007 Linear Multilinear Algebra 36, No. 1, 1-17 (1993). Reviewer: A.Helversen-Pasotto (Nice) MSC: 15A09 05C50 15A15 PDFBibTeX XMLCite \textit{C. R. Johnson} and \textit{M. Lundquist}, Linear Multilinear Algebra 36, No. 1, 1--17 (1993; Zbl 0787.15007) Full Text: DOI
Hare, Donovan R.; Johnson, Charles R.; Olesky, D. D.; van den Driessche, P. Sparsity analysis of the \(QR\) factorization. (English) Zbl 0783.65038 SIAM J. Matrix Anal. Appl. 14, No. 3, 655-669 (1993). Reviewer: W.Gander (Zürich) MSC: 65F30 65F05 65F50 05C50 15A23 PDFBibTeX XMLCite \textit{D. R. Hare} et al., SIAM J. Matrix Anal. Appl. 14, No. 3, 655--669 (1993; Zbl 0783.65038) Full Text: DOI
Kolotilina, L. Yu. The sparsity of Bruhat decomposition factors of nonsingular matrices. (English. Russian original) Zbl 0844.65038 J. Math. Sci., New York 79, No. 3, 1035-1042 (1996); translation from Zap. Nauchn. Semin. POMI 202, 5-17 (1992). MSC: 65F50 65F05 15A23 PDFBibTeX XMLCite \textit{L. Yu. Kolotilina}, J. Math. Sci., New York 79, No. 1, 5--17 (1992; Zbl 0844.65038); translation from Zap. Nauchn. Semin. POMI 202, 5--17 (1992)
Kolotilina, L. Yu. Sparsity of Bruhat decomposition factors of nonsingular matrices. (Russian. English summary) Zbl 0796.65063 Zap. Nauchn. Semin. POMI 202, 5-17 (1992). MSC: 65F50 65F05 15A23 PDFBibTeX XMLCite \textit{L. Yu. Kolotilina}, Zap. Nauchn. Semin. POMI 202, 5--17 (1992; Zbl 0796.65063) Full Text: EuDML
Chan, Tony F. C.; Mathew, Tarek P. The interface probing technique in domain decomposition. (English) Zbl 0754.65099 SIAM J. Matrix Anal. Appl. 13, No. 1, 212-238 (1992). Reviewer: S.Gocheva-Ilieva (El Menara) MSC: 65N55 65F10 35J25 65F50 65N22 65F35 PDFBibTeX XMLCite \textit{T. F. C. Chan} and \textit{T. P. Mathew}, SIAM J. Matrix Anal. Appl. 13, No. 1, 212--238 (1992; Zbl 0754.65099) Full Text: DOI
Nelis, H.; Dewilde, P.; Deprettere, E. Optimal sparse approximations of inverse matrices. (English) Zbl 0719.65014 Signal processing, scattering and operator theory, and numerical methods, Proc. Int. Symp. Math. Theory Networks Syst., MTNS, Vol. III, Amsterdam/Neth. 1989, Prog. Syst. Control Theory 5, 149-156 (1990). MSC: 65F05 65F50 PDFBibTeX XML
Agler, Jim; Helton, William; McCullough, Scott; Rodman, Leiba Positive semidefinite matrices with a given sparsity pattern. (English) Zbl 0655.15016 Linear Algebra Appl. 107, 101-149 (1988). Reviewer: D.Janovska MSC: 15B48 15A23 15A30 05C50 65F05 PDFBibTeX XMLCite \textit{J. Agler} et al., Linear Algebra Appl. 107, 101--149 (1988; Zbl 0655.15016) Full Text: DOI
Gambolati, G.; Pini, G.; Zilli, G. Numerical comparison of preconditionings for large sparse finite element problems. (English) Zbl 0618.65095 Numer. Methods Partial Differ. Equations 4, No. 2, 139-157 (1988). MSC: 65N30 65F10 35J25 35K20 65F35 65F50 PDFBibTeX XMLCite \textit{G. Gambolati} et al., Numer. Methods Partial Differ. Equations 4, No. 2, 139--157 (1988; Zbl 0618.65095) Full Text: DOI
Liao, Quiwei A new parallel algorithm for solving general linear systems of equations. (English) Zbl 0614.65021 CONPAR 86, Algorithms and hardware for parallel processing, Proc. Conf., Aachen/Ger. 1986, Lect. Notes Comput. Sci. 237, 264-271 (1986). Reviewer: P.S.Vassilevski MSC: 65F05 65F50 65Y05 PDFBibTeX XML
Ikramov, Kh. D. On multiplication of a perforated matrix by a vector. (English) Zbl 0595.65041 U.S.S.R. Comput. Math. Math. Phys. 24, No. 6, 84-86 (1984). MSC: 65F30 65F50 PDFBibTeX XMLCite \textit{Kh. D. Ikramov}, U.S.S.R. Comput. Math. Math. Phys. 24, No. 6, 84--86 (1984; Zbl 0595.65041) Full Text: DOI
Ikramov, Kh. D. On the multiplication of a perforated matrix by a vector. (Russian) Zbl 0575.65032 Zh. Vychisl. Mat. Mat. Fiz. 24, No. 11, 1731-1733 (1984). Reviewer: N.V’lcanov MSC: 65F30 65F50 PDFBibTeX XMLCite \textit{Kh. D. Ikramov}, Zh. Vychisl. Mat. Mat. Fiz. 24, No. 11, 1731--1733 (1984; Zbl 0575.65032)
Hoyer, Wolfgang; Schmidt, Jochen W. Newton-type decomposition methods for equations arising in network analysis. (English) Zbl 0567.65028 Z. Angew. Math. Mech. 64, 397-405 (1984). Reviewer: P.Stavre MSC: 65H10 94C05 PDFBibTeX XMLCite \textit{W. Hoyer} and \textit{J. W. Schmidt}, Z. Angew. Math. Mech. 64, 397--405 (1984; Zbl 0567.65028) Full Text: DOI
Coleman, Thomas F.; Moré, Jorge J. Estimation of sparse Jacobian matrices and graph coloring problems. (English) Zbl 0527.65033 SIAM J. Numer. Anal. 20, 187-209 (1983). MSC: 65H10 65F30 65F50 05C50 05C15 PDFBibTeX XMLCite \textit{T. F. Coleman} and \textit{J. J. Moré}, SIAM J. Numer. Anal. 20, 187--209 (1983; Zbl 0527.65033) Full Text: DOI
Thapa, Mukund N. Optimization of unconstrained functions with sparse Hessian matrices - Quasi-Newton methods. (English) Zbl 0513.90072 Math. Program. 25, 158-182 (1983). MSC: 90C30 49M15 65K05 49M37 PDFBibTeX XMLCite \textit{M. N. Thapa}, Math. Program. 25, 158--182 (1983; Zbl 0513.90072) Full Text: DOI
Schnabel, Robert B.; Toint, Ph. L. Forcing sparsity by projecting with respect to a non-diagonally weighted Frobenius norm. (English) Zbl 0504.65019 Math. Program. 25, 125-129 (1983). MSC: 65F30 65F50 PDFBibTeX XMLCite \textit{R. B. Schnabel} and \textit{Ph. L. Toint}, Math. Program. 25, 125--129 (1983; Zbl 0504.65019) Full Text: DOI
Toint, Ph. L. A sparse quasi-Newton update derived variationally with a nondiagonally weighted Frobenius norm. (English) Zbl 0529.65037 Math. Comput. 37, 425-433 (1981). MSC: 65K05 65F30 65F50 90C30 PDFBibTeX XMLCite \textit{Ph. L. Toint}, Math. Comput. 37, 425--433 (1981; Zbl 0529.65037) Full Text: DOI
Toint, Ph. L. Sparsity exploiting quasi-Newton methods for unconstrained optimization. (English) Zbl 0463.49031 Nonlinear optimization, theory and algorithms; Proc. int. Summer Sch., Bergamo/Italy 1979, 65-90 (1980). MSC: 49M15 65K10 90C30 PDFBibTeX XML