Prajapati, Anshul; Sharma, Punit Structured eigenvalue backward errors for rational matrix functions with symmetry structures. (English) Zbl 07813310 BIT 64, No. 1, Paper No. 10, 34 p. (2024). MSC: 15A18 15A12 15A22 15B57 65F15 65F35 PDFBibTeX XMLCite \textit{A. Prajapati} and \textit{P. Sharma}, BIT 64, No. 1, Paper No. 10, 34 p. (2024; Zbl 07813310) Full Text: DOI arXiv
Gissler, Armand; Auger, Anne; Hansen, Nikolaus Asymptotic estimations of a perturbed symmetric eigenproblem. (English) Zbl 07809659 Appl. Math. Lett. 150, Article ID 108951, 5 p. (2024). Reviewer: Tin Yau Tam (Reno) MSC: 15A18 15A42 15B57 47A55 PDFBibTeX XMLCite \textit{A. Gissler} et al., Appl. Math. Lett. 150, Article ID 108951, 5 p. (2024; Zbl 07809659) Full Text: DOI arXiv
Ahmadnasab, Morad; Psarrakos, Panayiotis J. Eigenvalue characterization of some structured matrix pencils under linear perturbation. (English) Zbl 07808051 Electron. J. Linear Algebra 40, 274-298 (2024). MSC: 15A18 15A22 47A55 93C73 PDFBibTeX XMLCite \textit{M. Ahmadnasab} and \textit{P. J. Psarrakos}, Electron. J. Linear Algebra 40, 274--298 (2024; Zbl 07808051) Full Text: DOI
Yang, Chen; Shi, Qinghe An interval perturbation method for singular value decomposition (SVD) with unknown-but-bounded (UBB) parameters. (English) Zbl 1525.65031 J. Comput. Appl. Math. 436, Article ID 115436, 16 p. (2024). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{C. Yang} and \textit{Q. Shi}, J. Comput. Appl. Math. 436, Article ID 115436, 16 p. (2024; Zbl 1525.65031) Full Text: DOI
Merzel, Jonathan L.; Mináč, Ján; Nguyen, Tung T.; Pasini, Federico W. Spectral perturbation by rank \(m\) matrices. (English) Zbl 07812158 Oper. Matrices 17, No. 3, 867-874 (2023). MSC: 15A18 47A55 PDFBibTeX XMLCite \textit{J. L. Merzel} et al., Oper. Matrices 17, No. 3, 867--874 (2023; Zbl 07812158) Full Text: DOI arXiv
Zhou, Xiaotian; Sun, Haoxin; Li, Wei; Zhang, Zhongzhi Optimization on the smallest eigenvalue of grounded Laplacian matrix via edge addition. (English) Zbl 1527.90247 Theor. Comput. Sci. 980, Article ID 114220, 16 p. (2023). MSC: 90C35 05C50 15A18 68R10 68W25 PDFBibTeX XMLCite \textit{X. Zhou} et al., Theor. Comput. Sci. 980, Article ID 114220, 16 p. (2023; Zbl 1527.90247) Full Text: DOI arXiv
Hochstenbach, Michiel E.; Mehl, Christian; Plestenjak, Bor Solving singular generalized eigenvalue problems. II: Projection and augmentation. (English) Zbl 1526.65011 SIAM J. Matrix Anal. Appl. 44, No. 4, 1589-1618 (2023). MSC: 65F15 15A18 15A22 15A21 47A55 65F22 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} et al., SIAM J. Matrix Anal. Appl. 44, No. 4, 1589--1618 (2023; Zbl 1526.65011) Full Text: DOI arXiv
Díaz, Roberto C.; Julio, Ana I.; Linares, Yankis R. Perturbing eigenvalues of nonnegative centrosymmetric matrices. (English) Zbl 07762755 Linear Multilinear Algebra 71, No. 16, 2670-2685 (2023). Reviewer: P. Shakila Banu (Erode) MSC: 15A18 15A29 15A42 47A55 PDFBibTeX XMLCite \textit{R. C. Díaz} et al., Linear Multilinear Algebra 71, No. 16, 2670--2685 (2023; Zbl 07762755) Full Text: DOI arXiv
Furtado, Susana Efficient vectors for double perturbed consistent matrices. (English) Zbl 1526.90022 Optimization 72, No. 11, 2679-2701 (2023). MSC: 90B50 91B06 15A18 PDFBibTeX XMLCite \textit{S. Furtado}, Optimization 72, No. 11, 2679--2701 (2023; Zbl 1526.90022) Full Text: DOI
Ivičić, Ivana Kuzmanović; Miodragović, Suzana; Ugrica, Matea The \(\tan \Theta\) theorem for definite matrix pairs. (English) Zbl 1526.15011 Linear Multilinear Algebra 71, No. 15, 2484-2498 (2023). MSC: 15A22 15B57 15A18 47A55 PDFBibTeX XMLCite \textit{I. K. Ivičić} et al., Linear Multilinear Algebra 71, No. 15, 2484--2498 (2023; Zbl 1526.15011) Full Text: DOI
Steinerberger, Stefan Approximate solutions of linear systems at a universal rate. (English) Zbl 07752100 SIAM J. Matrix Anal. Appl. 44, No. 3, 1436-1446 (2023). Reviewer: Gema Maria Diaz Toca (Murcia) MSC: 15A06 15A18 47A55 60D05 65F10 68W20 PDFBibTeX XMLCite \textit{S. Steinerberger}, SIAM J. Matrix Anal. Appl. 44, No. 3, 1436--1446 (2023; Zbl 07752100) Full Text: DOI arXiv
Lu, Song; Xu, Xianmin Numerical investigations on trace finite element methods for the Laplace-Beltrami eigenvalue problem. (English) Zbl 1522.65194 J. Sci. Comput. 97, No. 1, Paper No. 12, 31 p. (2023). MSC: 65N25 65N30 65F15 65F22 47A55 15A18 58J50 PDFBibTeX XMLCite \textit{S. Lu} and \textit{X. Xu}, J. Sci. Comput. 97, No. 1, Paper No. 12, 31 p. (2023; Zbl 1522.65194) Full Text: DOI arXiv
Donnelly, Jon; Stechlinski, Peter Analyzing the influence of agents in trust networks: applying nonsmooth eigensensitivity theory to a graph centrality problem. (English) Zbl 07737639 SIAM J. Matrix Anal. Appl. 44, No. 3, 1271-1298 (2023). MSC: 05C82 15A18 47A55 68M10 90B10 PDFBibTeX XMLCite \textit{J. Donnelly} and \textit{P. Stechlinski}, SIAM J. Matrix Anal. Appl. 44, No. 3, 1271--1298 (2023; Zbl 07737639) Full Text: DOI
Park, Taejun; Nakatsukasa, Yuji A fast randomized algorithm for computing an approximate null space. (English) Zbl 1515.65085 BIT 63, No. 2, Paper No. 36, 27 p. (2023). MSC: 65F20 65F55 15A18 15A42 PDFBibTeX XMLCite \textit{T. Park} and \textit{Y. Nakatsukasa}, BIT 63, No. 2, Paper No. 36, 27 p. (2023; Zbl 1515.65085) Full Text: DOI arXiv
Shukla, Vinay; Swaminathan, A. Spectral properties related to generalized complementary Romanovski-Routh polynomials. (English) Zbl 1515.42020 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 2, Paper No. 78, 22 p. (2023). Reviewer: Wilfredo Urbina (Chicago) MSC: 42C05 33C45 26C10 15A18 PDFBibTeX XMLCite \textit{V. Shukla} and \textit{A. Swaminathan}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 2, Paper No. 78, 22 p. (2023; Zbl 1515.42020) Full Text: DOI arXiv
Kumar, G. Krishna; Akhitha, M. S. Stability analysis of multilinear system using condition spectrum. (English) Zbl 1514.15035 Banach J. Math. Anal. 17, No. 1, Paper No. 17, 24 p. (2023). MSC: 15A69 15A18 47A07 47A30 47A55 PDFBibTeX XMLCite \textit{G. K. Kumar} and \textit{M. S. Akhitha}, Banach J. Math. Anal. 17, No. 1, Paper No. 17, 24 p. (2023; Zbl 1514.15035) 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
Epperlein, Jeremias; Wirth, Fabian The joint spectral radius is pointwise Hölder continuous. arXiv:2311.18633 Preprint, arXiv:2311.18633 [math.DS] (2023). MSC: 15A18 47A30 47A55 26B35 BibTeX Cite \textit{J. Epperlein} and \textit{F. Wirth}, ``The joint spectral radius is pointwise H\"older continuous'', Preprint, arXiv:2311.18633 [math.DS] (2023) Full Text: arXiv OA License
Xu, Hongguo Invariant subspace perturbation of a matrix with Jordan blocks. arXiv:2311.12219 Preprint, arXiv:2311.12219 [math.NA] (2023). MSC: 15A18 47A55 65F15 BibTeX Cite \textit{H. Xu}, ``Invariant subspace perturbation of a matrix with Jordan blocks'', Preprint, arXiv:2311.12219 [math.NA] (2023) Full Text: arXiv OA License
Seelmann, Albrecht Relative residual bounds for eigenvalues in gaps of the essential spectrum. arXiv:2309.07032 Preprint, arXiv:2309.07032 [math.SP] (2023). MSC: 15A18 47A20 47A55 47B15 49Rxx BibTeX Cite \textit{A. Seelmann}, ``Relative residual bounds for eigenvalues in gaps of the essential spectrum'', Preprint, arXiv:2309.07032 [math.SP] (2023) Full Text: arXiv OA License
Kressner, Daniel; Plestenjak, Bor Analysis of eigenvalue condition numbers for a class of randomized numerical methods for singular matrix pencils. arXiv:2305.13118 Preprint, arXiv:2305.13118 [math.NA] (2023). MSC: 65F15 15A18 15A22 15A21 47A55 68W20 15B52 BibTeX Cite \textit{D. Kressner} and \textit{B. Plestenjak}, ``Analysis of eigenvalue condition numbers for a class of randomized numerical methods for singular matrix pencils'', Preprint, arXiv:2305.13118 [math.NA] (2023) Full Text: arXiv OA License
Saha, Tanay; Rakshit, Suman; Khare, Swanand R. Nearest linearly structured polynomial matrix with some prescribed distinct eigenvalues. (English) Zbl 1514.15025 Linear Multilinear Algebra 70, No. 21, 7000-7026 (2022). Reviewer: Tin Yau Tam (Reno) MSC: 15A29 15A18 15A22 47A55 65K10 PDFBibTeX XMLCite \textit{T. Saha} et al., Linear Multilinear Algebra 70, No. 21, 7000--7026 (2022; Zbl 1514.15025) Full Text: DOI
De Terán, Fernando; Mehl, Christian; Mehrmann, Volker Low-rank perturbation of regular matrix pencils with symmetry structures. (English) Zbl 1514.15020 Found. Comput. Math. 22, No. 1, 257-311 (2022). Reviewer: Jaydeb Sarkar (Bangalore) MSC: 15A22 15A18 15A21 15B57 47A55 PDFBibTeX XMLCite \textit{F. De Terán} et al., Found. Comput. Math. 22, No. 1, 257--311 (2022; Zbl 1514.15020) Full Text: DOI arXiv
Pauwelyn, P. J.; Guerry, M. A. Perturbations of non-diagonalizable stochastic matrices with preservation of spectral properties. (English) Zbl 1505.15036 Linear Multilinear Algebra 70, No. 20, 5115-5145 (2022). MSC: 15B51 15A18 47A55 60J10 PDFBibTeX XMLCite \textit{P. J. Pauwelyn} and \textit{M. A. Guerry}, Linear Multilinear Algebra 70, No. 20, 5115--5145 (2022; Zbl 1505.15036) Full Text: DOI
Kenmoe, Maseim; Kriemann, Ronald; Smerlak, Matteo; Zadorin, Anton S. A fast iterative algorithm for near-diagonal eigenvalue problems. (English) Zbl 1508.65032 SIAM J. Matrix Anal. Appl. 43, No. 4, 1573-1598 (2022). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{M. Kenmoe} et al., SIAM J. Matrix Anal. Appl. 43, No. 4, 1573--1598 (2022; Zbl 1508.65032) Full Text: DOI arXiv
Cong, Zhanlei; Ma, Haifeng Acute perturbation for Moore-Penrose inverses of tensors via the T-product. (English) Zbl 1504.15085 J. Appl. Math. Comput. 68, No. 6, 3799-3820 (2022). MSC: 15A69 15A09 PDFBibTeX XMLCite \textit{Z. Cong} and \textit{H. Ma}, J. Appl. Math. Comput. 68, No. 6, 3799--3820 (2022; Zbl 1504.15085) Full Text: DOI
Anehila, B.; Ran, A. C. M. A note on a conjecture concerning rank one perturbations of singular M-matrices. (English) Zbl 1502.15007 Quaest. Math. 45, No. 10, 1529-1537 (2022). MSC: 15A18 47A55 PDFBibTeX XMLCite \textit{B. Anehila} and \textit{A. C. M. Ran}, Quaest. Math. 45, No. 10, 1529--1537 (2022; Zbl 1502.15007) Full Text: DOI arXiv
Taylor, Dane; Porter, Mason A.; Mucha, Peter J. Erratum to: “Tunable eigenvector-based centralities for multiplex and temporal networks”. (English) Zbl 1499.90048 Multiscale Model. Simul. 20, No. 3, 1167 (2022). MSC: 90B10 05C81 94C15 05C82 15A18 PDFBibTeX XMLCite \textit{D. Taylor} et al., Multiscale Model. Simul. 20, No. 3, 1167 (2022; Zbl 1499.90048) Full Text: DOI
Xu, Xuefeng New upper bounds for the spectral variation of a general matrix. (English) Zbl 1506.15018 Linear Multilinear Algebra 70, No. 16, 3070-3080 (2022). Reviewer: Davide Buoso (Alessandria) MSC: 15A42 15A18 47A55 PDFBibTeX XMLCite \textit{X. Xu}, Linear Multilinear Algebra 70, No. 16, 3070--3080 (2022; Zbl 1506.15018) Full Text: DOI arXiv
Ikramov, Kh. D. Canonical angles of normal matrices and theorems of the Wielandt-Hoffman and J.-g. Sun type. (English. Russian original) Zbl 1500.15007 Comput. Math. Math. Phys. 62, No. 10, 1586-1589 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 10, 1615-1619 (2022). MSC: 15A18 47A55 PDFBibTeX XMLCite \textit{Kh. D. Ikramov}, Comput. Math. Math. Phys. 62, No. 10, 1586--1589 (2022; Zbl 1500.15007); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 10, 1615--1619 (2022) Full Text: DOI
Ran, André C. M.; Wojtylak, Michał Global properties of eigenvalues of parametric rank one perturbations for unstructured and structured matrices. II. (English) Zbl 1495.15016 Complex Anal. Oper. Theory 16, No. 6, Paper No. 91, 13 p. (2022). MSC: 15A18 15A42 47A55 PDFBibTeX XMLCite \textit{A. C. M. Ran} and \textit{M. Wojtylak}, Complex Anal. Oper. Theory 16, No. 6, Paper No. 91, 13 p. (2022; Zbl 1495.15016) Full Text: DOI arXiv
Baragaña, Itziar; Roca, Alicia On the change of the Weyr characteristics of matrix pencils after rank-one perturbations. (English) Zbl 1494.15014 SIAM J. Matrix Anal. Appl. 43, No. 2, 981-1002 (2022). Reviewer: Ioannis Dassios (Dublin) MSC: 15A22 47A55 15A18 15A21 PDFBibTeX XMLCite \textit{I. Baragaña} and \textit{A. Roca}, SIAM J. Matrix Anal. Appl. 43, No. 2, 981--1002 (2022; Zbl 1494.15014) Full Text: DOI
Stechlinski, Peter Generalized derivatives of eigenvalues of a symmetric matrix. (English) Zbl 1522.15009 Linear Algebra Appl. 649, 63-95 (2022). MSC: 15A18 47A55 65F15 PDFBibTeX XMLCite \textit{P. Stechlinski}, Linear Algebra Appl. 649, 63--95 (2022; Zbl 1522.15009) Full Text: DOI
Cucuringu, Mihai; Tyagi, Hemant An extension of the angular synchronization problem to the heterogeneous setting. (English) Zbl 1491.60013 Found. Data Sci. 4, No. 1, 71-122 (2022). MSC: 60B20 15A03 15B57 15A18 PDFBibTeX XMLCite \textit{M. Cucuringu} and \textit{H. Tyagi}, Found. Data Sci. 4, No. 1, 71--122 (2022; Zbl 1491.60013) Full Text: DOI arXiv
Zhang, Guihua; Li, Hanyu; Wei, Yimin Componentwise perturbation analysis for the generalized Schur decomposition. (English) Zbl 1490.15029 Calcolo 59, No. 2, Paper No. 19, 32 p. (2022). MSC: 15A42 15A18 47A55 PDFBibTeX XMLCite \textit{G. Zhang} et al., Calcolo 59, No. 2, Paper No. 19, 32 p. (2022; Zbl 1490.15029) Full Text: DOI arXiv
Zheng, Sai-Nan; Chen, Xi; Liu, Lily Li; Wang, Yi Inertia indices and eigenvalue inequalities for Hermitian matrices. (English) Zbl 1497.15023 Linear Multilinear Algebra 70, No. 8, 1543-1552 (2022). Reviewer: Mikhail Tyaglov (Shanghai) MSC: 15A42 15B57 15A18 47A55 05C50 PDFBibTeX XMLCite \textit{S.-N. Zheng} et al., Linear Multilinear Algebra 70, No. 8, 1543--1552 (2022; Zbl 1497.15023) Full Text: DOI arXiv
Kalinina, Elizaveta A.; Smol’kin, Yurii A.; Uteshev, Alexei Yu. Stability and distance to instability for polynomial matrix families. Complex perturbations. (English) Zbl 1493.15053 Linear Multilinear Algebra 70, No. 7, 1291-1314 (2022). Reviewer: Olga M. Katkova (Boston) MSC: 15A22 15A18 15A15 18B05 12D10 30C15 47A55 PDFBibTeX XMLCite \textit{E. A. Kalinina} et al., Linear Multilinear Algebra 70, No. 7, 1291--1314 (2022; Zbl 1493.15053) Full Text: DOI
Prajapati, Anshul; Sharma, Punit Optimizing the Rayleigh quotient with symmetric constraints and its application to perturbations of structured polynomial eigenvalue problems. (English) Zbl 1495.15015 Linear Algebra Appl. 645, 256-277 (2022). Reviewer: Iveta Hnetynkova (Praha) MSC: 15A18 15A22 15A42 65K05 93C05 PDFBibTeX XMLCite \textit{A. Prajapati} and \textit{P. Sharma}, Linear Algebra Appl. 645, 256--277 (2022; Zbl 1495.15015) Full Text: DOI arXiv
Krishna Kumar, G.; Vivek, P. V. Generalized eigenvectors of bounded operators. (English) Zbl 07486139 Adv. Oper. Theory 7, No. 1, Paper No. 12, 19 p. (2022). MSC: 47A15 47A10 47A55 15A09 15A18 PDFBibTeX XMLCite \textit{G. Krishna Kumar} and \textit{P. V. Vivek}, Adv. Oper. Theory 7, No. 1, Paper No. 12, 19 p. (2022; Zbl 07486139) Full Text: DOI
Meng, Qing-Le; Diao, Huai-An; Bai, Zheng-Jian Condition numbers for the truncated total least squares problem and their estimations. (English) Zbl 07478602 Numer. Linear Algebra Appl. 28, No. 5, e2369, 24 p. (2021). MSC: 15A09 65F20 65F35 PDFBibTeX XMLCite \textit{Q.-L. Meng} et al., Numer. Linear Algebra Appl. 28, No. 5, e2369, 24 p. (2021; Zbl 07478602) Full Text: DOI arXiv
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
Tu, Yuanyuan; Shang, Xudong The perturbation bounds of the unitary polar factor. (Chinese. English summary) Zbl 1488.15020 J. Anhui Univ., Nat. Sci. 45, No. 3, 10-14 (2021). MSC: 15A18 47A55 PDFBibTeX XMLCite \textit{Y. Tu} and \textit{X. Shang}, J. Anhui Univ., Nat. Sci. 45, No. 3, 10--14 (2021; Zbl 1488.15020) Full Text: DOI
Luo, Yuetian; Han, Rungang; Zhang, Anru R. A Schatten-\(q\) low-rank matrix perturbation analysis via perturbation projection error bound. (English) Zbl 1480.15025 Linear Algebra Appl. 630, 225-240 (2021). Reviewer: Yaogan Mensah (Lomé) MSC: 15A45 15A60 47A55 65F55 PDFBibTeX XMLCite \textit{Y. Luo} et al., Linear Algebra Appl. 630, 225--240 (2021; Zbl 1480.15025) Full Text: DOI arXiv
Ganai, Tinku; Adhikari, Bibhas Preserving spectral properties of structured matrices under structured perturbations. (English) Zbl 1476.15013 Linear Algebra Appl. 629, 168-191 (2021). Reviewer: Bojan Kuzma (Ljubljana) MSC: 15A18 15A63 15A67 15A20 15A10 47A15 47A55 PDFBibTeX XMLCite \textit{T. Ganai} and \textit{B. Adhikari}, Linear Algebra Appl. 629, 168--191 (2021; Zbl 1476.15013) Full Text: DOI arXiv
Hong, Yan; Qi, Feng Inequalities for generalized eigenvalues of quaternion matrices. (English) Zbl 1488.15038 Period. Math. Hung. 83, No. 1, 12-19 (2021). Reviewer: Józef Drewniak (Rzeszów) MSC: 15A42 15A29 15A18 15A22 15B57 47A55 PDFBibTeX XMLCite \textit{Y. Hong} and \textit{F. Qi}, Period. Math. Hung. 83, No. 1, 12--19 (2021; Zbl 1488.15038) Full Text: DOI
Charif, Mirna; Zielinski, Lech Perturbation series for Jacobi matrices and the quantum Rabi model. (English) Zbl 1469.81019 Opusc. Math. 41, No. 3, 301-333 (2021). MSC: 81Q10 81Q15 47B36 15A18 81V80 35B34 40A30 PDFBibTeX XMLCite \textit{M. Charif} and \textit{L. Zielinski}, Opusc. Math. 41, No. 3, 301--333 (2021; Zbl 1469.81019) Full Text: DOI
Vu, Trung; Chunikhina, Evgenia; Raich, Raviv Perturbation expansions and error bounds for the truncated singular value decomposition. (English) Zbl 1470.15009 Linear Algebra Appl. 627, 94-139 (2021). MSC: 15A18 15A42 47H14 47A55 65F55 PDFBibTeX XMLCite \textit{T. Vu} et al., Linear Algebra Appl. 627, 94--139 (2021; Zbl 1470.15009) Full Text: DOI arXiv
Moon, Sunyo; Park, Seungkook Lower and upper bounds for the number of distinct eigenvalues of a perturbed regular matrix pencil. (English) Zbl 1469.15024 Linear Algebra Appl. 626, 171-187 (2021). MSC: 15A42 15A22 15A18 47A55 PDFBibTeX XMLCite \textit{S. Moon} and \textit{S. Park}, Linear Algebra Appl. 626, 171--187 (2021; Zbl 1469.15024) Full Text: DOI
Hijazi, Samah; Hamad, Denis; Kalakech, Mariam; Kalakech, Ali Active learning of constraints for weighted feature selection. (English) Zbl 07363877 Adv. Data Anal. Classif., ADAC 15, No. 2, 337-377 (2021). MSC: 15A18 65F15 62H30 68T10 47N10 PDFBibTeX XMLCite \textit{S. Hijazi} et al., Adv. Data Anal. Classif., ADAC 15, No. 2, 337--377 (2021; Zbl 07363877) Full Text: DOI
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
Jankowski, Eric; Johnson, Charles R. Eigenvalue paths arising from matrix paths. (English) Zbl 1475.15009 J. Math. Anal. Appl. 501, No. 2, Article ID 125207, 19 p. (2021). Reviewer: Kui Ji (Shijiazhuang) MSC: 15A18 47A55 PDFBibTeX XMLCite \textit{E. Jankowski} and \textit{C. R. Johnson}, J. Math. Anal. Appl. 501, No. 2, Article ID 125207, 19 p. (2021; Zbl 1475.15009) Full Text: DOI arXiv
Ran, André C. M.; Wojtylak, Michał Global properties of eigenvalues of parametric rank one perturbations for unstructured and structured matrices. (English) Zbl 1472.15012 Complex Anal. Oper. Theory 15, No. 3, Paper No. 44, 28 p. (2021). Reviewer: Sarah Plosker (Brandon) MSC: 15A18 47A55 PDFBibTeX XMLCite \textit{A. C. M. Ran} and \textit{M. Wojtylak}, Complex Anal. Oper. Theory 15, No. 3, Paper No. 44, 28 p. (2021; Zbl 1472.15012) Full Text: DOI arXiv
Truhar, Ninoslav; Li, Ren-Cang On an eigenvector-dependent nonlinear eigenvalue problem from the perspective of relative perturbation theory. (English) Zbl 1473.15018 J. Comput. Appl. Math. 395, Article ID 113596, 11 p. (2021). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 15A18 65F15 65H17 47J10 47H09 PDFBibTeX XMLCite \textit{N. Truhar} and \textit{R.-C. Li}, J. Comput. Appl. Math. 395, Article ID 113596, 11 p. (2021; Zbl 1473.15018) Full Text: DOI
Znojil, Miloslav Exceptional points and domains of unitarity for a class of strongly non-Hermitian real-matrix Hamiltonians. (English) Zbl 1465.81034 J. Math. Phys. 62, No. 5, Article ID 052103, 18 p. (2021). MSC: 81Q12 81Q15 15A18 PDFBibTeX XMLCite \textit{M. Znojil}, J. Math. Phys. 62, No. 5, Article ID 052103, 18 p. (2021; Zbl 1465.81034) Full Text: DOI arXiv
Dobosevych, Oles; Hryniv, Rostyslav Direct and inverse spectral problems for rank-one perturbations of self-adjoint operators. (English) Zbl 1477.47011 Integral Equations Oper. Theory 93, No. 2, Paper No. 18, 18 p. (2021). MSC: 47A55 47A10 15A18 15A60 PDFBibTeX XMLCite \textit{O. Dobosevych} and \textit{R. Hryniv}, Integral Equations Oper. Theory 93, No. 2, Paper No. 18, 18 p. (2021; Zbl 1477.47011) Full Text: DOI arXiv
Toyonaga, Kenji; Johnson, Charles R. The effect of perturbation of an off-diagonal entry pair on the geometric multiplicity of an eigenvalue. (English) Zbl 1469.15015 Linear Algebra Appl. 615, 112-142 (2021). Reviewer: Dean Crnković (Rijeka) MSC: 15A18 05C50 05B20 47A55 PDFBibTeX XMLCite \textit{K. Toyonaga} and \textit{C. R. Johnson}, Linear Algebra Appl. 615, 112--142 (2021; Zbl 1469.15015) Full Text: DOI
Futorny, Vyacheslav; Klymchuk, Tetiana; Klymenko, Olena; Sergeichuk, Vladimir V.; Shvai, Nadiya Perturbation theory of matrix pencils through miniversal deformations. (English) Zbl 1482.15008 Linear Algebra Appl. 614, 455-499 (2021). Reviewer: Kui Ji (Shijiazhuang) MSC: 15A21 15A18 15A22 15A45 47A55 PDFBibTeX XMLCite \textit{V. Futorny} et al., Linear Algebra Appl. 614, 455--499 (2021; Zbl 1482.15008) Full Text: DOI
Ahmad, Sk. Safique; Ali, Istkhar; Slapničar, Ivan Perturbation analysis of matrices over a quaternion division algebra. (English) Zbl 1458.15013 ETNA, Electron. Trans. Numer. Anal. 54, 128-149 (2021). MSC: 15A18 15A66 15B33 15A45 47A55 11R52 PDFBibTeX XMLCite \textit{Sk. S. Ahmad} et al., ETNA, Electron. Trans. Numer. Anal. 54, 128--149 (2021; Zbl 1458.15013) Full Text: DOI Link
Barthelmé, Simon; Usevich, Konstantin Spectral properties of kernel matrices in the flat limit. (English) Zbl 1458.15012 SIAM J. Matrix Anal. Appl. 42, No. 1, 17-57 (2021). MSC: 15A15 15A18 47A55 47A75 47B34 60G15 65D05 PDFBibTeX XMLCite \textit{S. Barthelmé} and \textit{K. Usevich}, SIAM J. Matrix Anal. Appl. 42, No. 1, 17--57 (2021; Zbl 1458.15012) Full Text: DOI arXiv
Dobosevych, Oles; Hryniv, Rostyslav Spectra of rank-one perturbations of self-adjoint operators. (English) Zbl 1514.47023 Linear Algebra Appl. 609, 339-364 (2021). Reviewer: Armin Rainer (Wien) MSC: 47A55 47A10 15A18 15A60 PDFBibTeX XMLCite \textit{O. Dobosevych} and \textit{R. Hryniv}, Linear Algebra Appl. 609, 339--364 (2021; Zbl 1514.47023) Full Text: DOI arXiv
Taylor, Dane; Porter, Mason A.; Mucha, Peter J. Tunable eigenvector-based centralities for multiplex and temporal networks. (English) Zbl 1457.90033 Multiscale Model. Simul. 19, No. 1, 113-147 (2021); erratum ibid. 20, No. 3, 1167 (2022). MSC: 90B10 05C81 94C15 05C82 15A18 PDFBibTeX XMLCite \textit{D. Taylor} et al., Multiscale Model. Simul. 19, No. 1, 113--147 (2021; Zbl 1457.90033) Full Text: DOI arXiv
Dupuy, Mi-Song; Friesecke, Gero Inversion symmetry of singular values and a new orbital ordering method in tensor train approximations for quantum chemistry. (English) Zbl 1462.81145 SIAM J. Sci. Comput. 43, No. 1, B108-B131 (2021). MSC: 81T17 81T16 81T15 15A69 81V70 81Q05 81Q15 40E10 81P55 15A18 81P40 35Q40 81V55 PDFBibTeX XMLCite \textit{M.-S. Dupuy} and \textit{G. Friesecke}, SIAM J. Sci. Comput. 43, No. 1, B108--B131 (2021; Zbl 1462.81145) Full Text: DOI arXiv
Baragaña, Itziar; Roca, Alicia On the change of the Weyr characteristics of matrix pencils after rank-one perturbations. arXiv:2105.07840 Preprint, arXiv:2105.07840 [math.RA] (2021). MSC: 15A22 47A55 15A18 BibTeX Cite \textit{I. Baragaña} and \textit{A. Roca}, ``On the change of the Weyr characteristics of matrix pencils after rank-one perturbations'', Preprint, arXiv:2105.07840 [math.RA] (2021) Full Text: DOI arXiv OA License
Lotz, Martin; Noferini, Vanni Wilkinson’s bus: weak condition numbers, with an application to singular polynomial eigenproblems. (English) Zbl 1455.65056 Found. Comput. Math. 20, No. 6, 1439-1473 (2020). MSC: 65F15 65F35 15A18 15B52 60H99 PDFBibTeX XMLCite \textit{M. Lotz} and \textit{V. Noferini}, Found. Comput. Math. 20, No. 6, 1439--1473 (2020; Zbl 1455.65056) Full Text: DOI arXiv
Basak, Anirban; Zeitouni, Ofer Outliers of random perturbations of Toeplitz matrices with finite symbols. (English) Zbl 1451.60014 Probab. Theory Relat. Fields 178, No. 3-4, 771-826 (2020). MSC: 60B20 15A18 47A55 47B80 47B35 15B05 15B52 PDFBibTeX XMLCite \textit{A. Basak} and \textit{O. Zeitouni}, Probab. Theory Relat. Fields 178, No. 3--4, 771--826 (2020; Zbl 1451.60014) Full Text: DOI arXiv
Ahmad, Sk. Safique; Kanhya, Prince Structured perturbation analysis of sparse matrix pencils with \(s\)-specified eigenpairs. (English) Zbl 1445.65014 Linear Algebra Appl. 602, 93-119 (2020). Reviewer: Raffaella Pavani (Milano) MSC: 65F50 65F15 15A18 65F35 15A22 PDFBibTeX XMLCite \textit{Sk. S. Ahmad} and \textit{P. Kanhya}, Linear Algebra Appl. 602, 93--119 (2020; Zbl 1445.65014) Full Text: DOI
Sosa, Fredy; Moro, Julio; Mehl, Christian First order structure-preserving perturbation theory for eigenvalues of symplectic matrices. (English) Zbl 1441.15007 SIAM J. Matrix Anal. Appl. 41, No. 2, 657-690 (2020). MSC: 15A18 15A21 15B30 65F15 47A55 PDFBibTeX XMLCite \textit{F. Sosa} et al., SIAM J. Matrix Anal. Appl. 41, No. 2, 657--690 (2020; Zbl 1441.15007) Full Text: DOI
Greenbaum, Anne; Li, Ren-Cang; Overton, Michael L. First-order perturbation theory for eigenvalues and eigenvectors. (English) Zbl 1516.15006 SIAM Rev. 62, No. 2, 463-482 (2020). MSC: 15A18 65F15 15A60 47A55 PDFBibTeX XMLCite \textit{A. Greenbaum} et al., SIAM Rev. 62, No. 2, 463--482 (2020; Zbl 1516.15006) Full Text: DOI arXiv
Gil’, Michael Conservation of the number of the eigenvalues of two-parameter matrix problems in bounded domains under perturbations. (English) Zbl 1437.15012 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 66, No. 1, 41-49 (2020). MSC: 15A18 15A22 47A55 PDFBibTeX XMLCite \textit{M. Gil'}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 66, No. 1, 41--49 (2020; Zbl 1437.15012) Full Text: DOI
Baragaña, Itziar; Roca, Alicia Fixed rank perturbations of regular matrix pencils. (English) Zbl 1446.15007 Linear Algebra Appl. 589, 201-221 (2020). Reviewer: Sen Zhu (Changchun) MSC: 15A22 47A55 15A18 PDFBibTeX XMLCite \textit{I. Baragaña} and \textit{A. Roca}, Linear Algebra Appl. 589, 201--221 (2020; Zbl 1446.15007) Full Text: DOI arXiv
Baragaña, Itziar The number of distinct eigenvalues of a regular pencil and of a square matrix after rank perturbation. (English) Zbl 07191033 Linear Algebra Appl. 588, 101-121 (2020). MSC: 15A18 15A22 47A55 PDFBibTeX XMLCite \textit{I. Baragaña}, Linear Algebra Appl. 588, 101--121 (2020; Zbl 07191033) Full Text: DOI
Parusiński, Adam; Rond, Guillaume Multiparameter perturbation theory of matrices and linear operators. (English) Zbl 1440.15009 Trans. Am. Math. Soc. 373, No. 4, 2933-2948 (2020). Reviewer: Yaogan Mensah (Lomé) MSC: 15A23 15A18 15A20 15A21 13F25 14P20 47A55 PDFBibTeX XMLCite \textit{A. Parusiński} and \textit{G. Rond}, Trans. Am. Math. Soc. 373, No. 4, 2933--2948 (2020; Zbl 1440.15009) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{X. Xu}, Appl. Math. Comput. 374, Article ID 124920, 9 p. (2020; Zbl 1433.65067) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{X. Xu}, J. Comput. Appl. Math. 368, Article ID 112327, 17 p. (2020; Zbl 1433.65074) Full Text: DOI arXiv
Fu, Chunhong; Xu, Qingxiang An optimal perturbation bound for the partial isometry associated to the generalized polar decomposition. (English) Zbl 1433.65072 Appl. Math. Comput. 372, Article ID 124987, 8 p. (2020). MSC: 65F35 15A23 15A18 15A60 15A45 PDFBibTeX XMLCite \textit{C. Fu} and \textit{Q. Xu}, Appl. Math. Comput. 372, Article ID 124987, 8 p. (2020; Zbl 1433.65072) Full Text: DOI
Truhar, Ninoslav; Tomljanović, Zoran; Li, Ren-Cang Perturbation theory for Hermitian quadratic eigenvalue problem – damped and simultaneously diagonalizable systems. (English) Zbl 1433.15019 Appl. Math. Comput. 371, Article ID 124921, 17 p. (2020). MSC: 15A22 15A18 47H14 65F15 PDFBibTeX XMLCite \textit{N. Truhar} et al., Appl. Math. Comput. 371, Article ID 124921, 17 p. (2020; Zbl 1433.15019) Full Text: DOI
Pauwelyn, Pieter-Jan; Guerry, Marie-Anne On perturbations of non-diagonalizable stochastic matrices of order 3. (English) Zbl 1430.15027 Stat. Probab. Lett. 157, Article ID 108633, 6 p. (2020). Reviewer: Guy Katriel (Haifa) MSC: 15B51 15A18 47A55 60J10 PDFBibTeX XMLCite \textit{P.-J. Pauwelyn} and \textit{M.-A. Guerry}, Stat. Probab. Lett. 157, Article ID 108633, 6 p. (2020; Zbl 1430.15027) Full Text: DOI Link
Yang, Yong; Tu, Lilan; Guo, Tianjiao; Chen, Jiabo Spectral properties of supra-Laplacian for partially interdependent networks. (English) Zbl 1433.65062 Appl. Math. Comput. 365, Article ID 124740, 11 p. (2020). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{Y. Yang} et al., Appl. Math. Comput. 365, Article ID 124740, 11 p. (2020; Zbl 1433.65062) Full Text: DOI
Grudsky, Sergei M.; Maximenko, Egor A.; Soto-González, Alejandro Eigenvalues of tridiagonal Hermitian Toeplitz matrices with perturbations in the off-diagonal corners. arXiv:2009.01401 Preprint, arXiv:2009.01401 [math.FA] (2020). MSC: 15B05 15A18 41A60 65F15 47A55 BibTeX Cite \textit{S. M. Grudsky} et al., ``Eigenvalues of tridiagonal Hermitian Toeplitz matrices with perturbations in the off-diagonal corners'', Preprint, arXiv:2009.01401 [math.FA] (2020) Full Text: DOI arXiv OA License
Pirrotta, Antonina; Kougioumtzoglou, Ioannis A.; Pantelous, Athanasios A. Stochastic response determination of structural systems modeled via dependent coordinates: a frequency domain treatment based on generalized modal analysis. (English) Zbl 07785895 Meccanica 54, No. 9, 1421-1431 (2019). MSC: 74H05 74H10 15A10 15A09 PDFBibTeX XMLCite \textit{A. Pirrotta} et al., Meccanica 54, No. 9, 1421--1431 (2019; Zbl 07785895) Full Text: DOI
Zhu, Lei; Peng, Xiaofei; Liu, Hao Rank-one perturbation bounds for singular values of arbitrary matrices. (English) Zbl 1499.15070 J. Inequal. Appl. 2019, Paper No. 138, 10 p. (2019). MSC: 15A42 15A18 47A55 PDFBibTeX XMLCite \textit{L. Zhu} et al., J. Inequal. Appl. 2019, Paper No. 138, 10 p. (2019; Zbl 1499.15070) Full Text: DOI
Hochstenbach, Michiel E.; Mehl, Christian; Plestenjak, Bor Solving singular generalized eigenvalue problems by a rank-completing perturbation. (English) Zbl 1435.65056 SIAM J. Matrix Anal. Appl. 40, No. 3, 1022-1046 (2019). MSC: 65F15 15A18 15A22 15A21 47A55 65F22 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} et al., SIAM J. Matrix Anal. Appl. 40, No. 3, 1022--1046 (2019; Zbl 1435.65056) Full Text: DOI arXiv
Liu, Youming; Ren, Chunguang An optimal perturbation bound. (English) Zbl 1423.15024 Math. Methods Appl. Sci. 42, No. 11, 3791-3798 (2019). MSC: 15A60 15A18 62H12 62H30 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{C. Ren}, Math. Methods Appl. Sci. 42, No. 11, 3791--3798 (2019; Zbl 1423.15024) Full Text: DOI
Mitz, Roy; Sharon, Nir; Shkolnisky, Yoel Symmetric rank-one updates from partial spectrum with an application to out-of-sample extension. (English) Zbl 1459.15010 SIAM J. Matrix Anal. Appl. 40, No. 3, 973-997 (2019). MSC: 15A18 47A55 PDFBibTeX XMLCite \textit{R. Mitz} et al., SIAM J. Matrix Anal. Appl. 40, No. 3, 973--997 (2019; Zbl 1459.15010) Full Text: DOI arXiv
Dong, Yiqiu; Hansen, Per Christian; Hochstenbach, Michiel E.; Brogaard Riis, Nicolai André Fixing nonconvergence of algebraic iterative reconstruction with an unmatched backprojector. (English) Zbl 1420.65031 SIAM J. Sci. Comput. 41, No. 3, A1822-A1839 (2019). MSC: 65F10 65F15 65F22 15A18 15A60 PDFBibTeX XMLCite \textit{Y. Dong} et al., SIAM J. Sci. Comput. 41, No. 3, A1822--A1839 (2019; Zbl 1420.65031) Full Text: DOI arXiv
Lucińska, Małgorzata; Wierzchoń, Sławomir T. Clustering based on eigenvectors of the adjacency matrix. (English) Zbl 1420.62272 Int. J. Appl. Math. Comput. Sci. 28, No. 4, 771-786 (2019). MSC: 62H30 05C50 15A18 PDFBibTeX XMLCite \textit{M. Lucińska} and \textit{S. T. Wierzchoń}, Int. J. Appl. Math. Comput. Sci. 28, No. 4, 771--786 (2019; Zbl 1420.62272) Full Text: DOI
Truhar, Ninoslav A note on an upper and a lower bound on sines between eigenspaces for regular Hermitian matrix pairs. (English) Zbl 1415.65092 J. Comput. Appl. Math. 358, 374-384 (2019). MSC: 65F15 15B57 15A18 65F25 65F35 70Q05 PDFBibTeX XMLCite \textit{N. Truhar}, J. Comput. Appl. Math. 358, 374--384 (2019; Zbl 1415.65092) Full Text: DOI
Baragaña, Itziar; Roca, Alicia Weierstrass structure and eigenvalue placement of regular matrix pencils under low rank perturbations. (English) Zbl 1416.15012 SIAM J. Matrix Anal. Appl. 40, No. 2, 440-453 (2019). Reviewer: Mihail Voicu (Iaşi) MSC: 15A22 47A55 15A18 PDFBibTeX XMLCite \textit{I. Baragaña} and \textit{A. Roca}, SIAM J. Matrix Anal. Appl. 40, No. 2, 440--453 (2019; Zbl 1416.15012) Full Text: DOI
Hong, Yan; Lim, Dongkyu; Qi, Feng Some inequalities for generalized eigenvalues of perturbation problems on Hermitian matrices. (English) Zbl 1498.15022 J. Inequal. Appl. 2018, Paper No. 155, 6 p. (2018). MSC: 15A42 15A18 15B57 47A55 PDFBibTeX XMLCite \textit{Y. Hong} et al., J. Inequal. Appl. 2018, Paper No. 155, 6 p. (2018; Zbl 1498.15022) Full Text: DOI
Ren, Xiaoxu; Lü, Liangfu; Huang, Zhenghai; Cao, Haifang One of perturbation analysis of tensor eigenvalues. (English) Zbl 1438.15029 Math. Appl. 31, No. 4, 792-802 (2018). MSC: 15A18 15A69 68U10 94A08 PDFBibTeX XMLCite \textit{X. Ren} et al., Math. Appl. 31, No. 4, 792--802 (2018; Zbl 1438.15029)
Andrade, Enide; Manzaneda, Cristina; Robbiano, María Realizable lists on a class of nonnegative matrices. (English) Zbl 1415.15033 Linear Algebra Appl. 551, 36-56 (2018). MSC: 15B48 15A18 15A29 47A55 PDFBibTeX XMLCite \textit{E. Andrade} et al., Linear Algebra Appl. 551, 36--56 (2018; Zbl 1415.15033) Full Text: DOI arXiv
Meng, Lingsheng Perturbation bounds of \(\{1,3\}\)- and \(\{1,4\}\)-inverses under the unitarily invariant norm. (Chinese. English summary) Zbl 1424.15042 J. Zhejiang Univ., Sci. Ed. 45, No. 3, 304-307 (2018). MSC: 15A60 15A09 PDFBibTeX XMLCite \textit{L. Meng}, J. Zhejiang Univ., Sci. Ed. 45, No. 3, 304--307 (2018; Zbl 1424.15042) 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
Loisel, Sébastien; Maxwell, Peter Path-following method to determine the field of values of a matrix with high accuracy. (English) Zbl 1453.65082 SIAM J. Matrix Anal. Appl. 39, No. 4, 1726-1749 (2018). MSC: 65F35 15A18 15A60 15B57 65F15 PDFBibTeX XMLCite \textit{S. Loisel} and \textit{P. Maxwell}, SIAM J. Matrix Anal. Appl. 39, No. 4, 1726--1749 (2018; Zbl 1453.65082) Full Text: DOI
Fan, Jianqing; Wang, Weichen; Zhong, Yiqiao An \(\ell_{\infty}\) eigenvector perturbation bound and its application. (English) Zbl 1473.15015 J. Mach. Learn. Res. 18(2017-2018), Paper No. 207, 42 p. (2018). MSC: 15A18 47A55 65F50 65F55 68T05 PDFBibTeX XMLCite \textit{J. Fan} et al., J. Mach. Learn. Res. 18, Paper No. 207, 42 p. (2018; Zbl 1473.15015) Full Text: arXiv Link
Dumitrescu, Olivia; Mulase, Motohico Lectures on the topological recursion for Higgs bundles and quantum curves. (English) Zbl 1401.14001 Wentworth, Richard (ed.) et al., The geometry, topology and physics of moduli spaces of Higgs bundles. Based on minicourses from the program on “The geometry, topology and physics of moduli spaces of Higgs bundles”, IMS, Singapore, July 7 – August 29, 2014. Hackensack, NJ: World Scientific (ISBN 978-981-3229-08-2/hbk; 978-981-3229-10-5/ebook). Lecture Notes Series. Institute for Mathematical Sciences. National University of Singapore 36, 103-198 (2018). MSC: 14-01 81-01 81T45 14H70 14H81 14H15 14N35 15B52 14F10 14J26 33C05 33C10 33C15 34M60 53D37 PDFBibTeX XMLCite \textit{O. Dumitrescu} and \textit{M. Mulase}, Lect. Notes Ser., Inst. Math. Sci., Natl. Univ. Singap. 36, 103--198 (2018; Zbl 1401.14001) Full Text: DOI arXiv
Li, Wen; Chen, Yanmei; Vong, Seakweng; Luo, Qilun Some refined bounds for the perturbation of the orthogonal projection and the generalized inverse. (English) Zbl 1397.65051 Numer. Algorithms 79, No. 2, 657-677 (2018). MSC: 65F10 15A09 PDFBibTeX XMLCite \textit{W. Li} et al., Numer. Algorithms 79, No. 2, 657--677 (2018; Zbl 1397.65051) Full Text: DOI
Xi, Yuanzhe; Li, Ruipeng; Saad, Yousef Fast computation of spectral densities for generalized eigenvalue problems. (English) Zbl 1416.65097 SIAM J. Sci. Comput. 40, No. 4, A2749-A2773 (2018). MSC: 65F15 15A18 65F10 65F50 PDFBibTeX XMLCite \textit{Y. Xi} et al., SIAM J. Sci. Comput. 40, No. 4, A2749--A2773 (2018; Zbl 1416.65097) Full Text: DOI arXiv
Sifuentes, Josef A.; Moskow, Shari Preconditioning methods for thin scattering structures based on asymptotic results. (English) Zbl 1391.65060 SIAM J. Sci. Comput. 40, No. 4, B1007-B1019 (2018). MSC: 65F08 65F10 15A18 47A10 47A55 PDFBibTeX XMLCite \textit{J. A. Sifuentes} and \textit{S. Moskow}, SIAM J. Sci. Comput. 40, No. 4, B1007--B1019 (2018; Zbl 1391.65060) Full Text: DOI
Moon, Sunyo; Park, Seungkook Upper bound for the number of distinct eigenvalues of a perturbed matrix. (English) Zbl 1392.15021 Electron. J. Linear Algebra 34, 115-124 (2018). Reviewer: Edward L. Pekarev (Odessa) MSC: 15A18 65F15 47A55 PDFBibTeX XMLCite \textit{S. Moon} and \textit{S. Park}, Electron. J. Linear Algebra 34, 115--124 (2018; Zbl 1392.15021)