Zeng, Chao Proximal linearization methods for Schatten \(p\)-quasi-norm minimization. (English) Zbl 1510.65087 Numer. Math. 153, No. 1, 213-248 (2023). MSC: 65F55 65K10 15A60 90C26 90C30 PDFBibTeX XMLCite \textit{C. Zeng}, Numer. Math. 153, No. 1, 213--248 (2023; Zbl 1510.65087) Full Text: DOI
Breiding, Paul; Vannieuwenhoven, Nick Sensitivity of low-rank matrix recovery. (English) Zbl 1505.65175 Numer. Math. 152, No. 4, 725-759 (2022). MSC: 65F35 15A23 15A83 65F18 PDFBibTeX XMLCite \textit{P. Breiding} and \textit{N. Vannieuwenhoven}, Numer. Math. 152, No. 4, 725--759 (2022; Zbl 1505.65175) Full Text: DOI arXiv
Beik, Fatemeh Panjeh Ali; Benzi, Michele Preconditioning techniques for the coupled Stokes-Darcy problem: spectral and field-of-values analysis. (English) Zbl 1493.65190 Numer. Math. 150, No. 2, 257-298 (2022). MSC: 65N30 65F08 65F10 15A18 76S05 76D07 76M10 35Q35 PDFBibTeX XMLCite \textit{F. P. A. Beik} and \textit{M. Benzi}, Numer. Math. 150, No. 2, 257--298 (2022; Zbl 1493.65190) Full Text: DOI
Mazza, M.; Semplice, M.; Serra-Capizzano, S.; Travaglia, E. A matrix-theoretic spectral analysis of incompressible Navier-Stokes staggered DG approximations and a related spectrally based preconditioning approach. (English) Zbl 1483.65047 Numer. Math. 149, No. 4, 933-971 (2021). MSC: 65F08 65N30 15B05 15A18 15A69 76D05 PDFBibTeX XMLCite \textit{M. Mazza} et al., Numer. Math. 149, No. 4, 933--971 (2021; Zbl 1483.65047) Full Text: DOI arXiv
Carstensen, Carsten; Ern, Alexandre; Puttkammer, Sophie Guaranteed lower bounds on eigenvalues of elliptic operators with a hybrid high-order method. (English) Zbl 1502.65179 Numer. Math. 149, No. 2, 273-304 (2021). MSC: 65N25 65N30 65N12 35P15 15A18 35J05 PDFBibTeX XMLCite \textit{C. Carstensen} et al., Numer. Math. 149, No. 2, 273--304 (2021; Zbl 1502.65179) Full Text: DOI
Noferini, Vanni; Poloni, Federico Nearest \(\Omega \)-stable matrix via Riemannian optimization. (English) Zbl 1472.15030 Numer. Math. 148, No. 4, 817-851 (2021). MSC: 15A60 15A29 15A18 65K05 65K10 49M37 49K40 PDFBibTeX XMLCite \textit{V. Noferini} and \textit{F. Poloni}, Numer. Math. 148, No. 4, 817--851 (2021; Zbl 1472.15030) Full Text: DOI arXiv Backlinks: MO
Zeng, Chao; Jiang, Tai-Xiang; Ng, Michael K. An approximation method of CP rank for third-order tensor completion. (English) Zbl 1462.15030 Numer. Math. 147, No. 3, 727-757 (2021). MSC: 15A69 15A83 90C25 90C30 65K10 PDFBibTeX XMLCite \textit{C. Zeng} et al., Numer. Math. 147, No. 3, 727--757 (2021; Zbl 1462.15030) Full Text: DOI
Lin, Jing; Lermusiaux, Pierre F. J. Minimum-correction second-moment matching: theory, algorithms and applications. (English) Zbl 1467.65034 Numer. Math. 147, No. 3, 611-650 (2021). MSC: 65F25 15A23 60H15 PDFBibTeX XMLCite \textit{J. Lin} and \textit{P. F. J. Lermusiaux}, Numer. Math. 147, No. 3, 611--650 (2021; Zbl 1467.65034) Full Text: DOI Link
Cicone, Antonio; Zhou, Haomin Numerical analysis for iterative filtering with new efficient implementations based on FFT. (English) Zbl 1469.65181 Numer. Math. 147, No. 1, 1-28 (2021). MSC: 65T50 15A18 15B05 15B51 94A12 PDFBibTeX XMLCite \textit{A. Cicone} and \textit{H. Zhou}, Numer. Math. 147, No. 1, 1--28 (2021; Zbl 1469.65181) Full Text: DOI arXiv
Delgado, Jorge; Peña, J. M. Extremal and optimal properties of B-bases collocation matrices. (English) Zbl 1448.65031 Numer. Math. 146, No. 1, 105-118 (2020). MSC: 65F35 15B48 65D17 65D07 PDFBibTeX XMLCite \textit{J. Delgado} and \textit{J. M. Peña}, Numer. Math. 146, No. 1, 105--118 (2020; Zbl 1448.65031) Full Text: DOI arXiv
Malyshev, Alexander; Sadkane, Miloud Computing the distance to continuous-time instability of quadratic matrix polynomials. (English) Zbl 1440.65049 Numer. Math. 145, No. 1, 149-165 (2020). MSC: 65F15 15A22 65F35 65G50 PDFBibTeX XMLCite \textit{A. Malyshev} and \textit{M. Sadkane}, Numer. Math. 145, No. 1, 149--165 (2020; Zbl 1440.65049) Full Text: DOI Link
Dong, Bo; Jiang, Nan; Chu, Moody T. Nonlinear power-like iteration by polar decomposition and its application to tensor approximation. (English) Zbl 1434.65053 Numer. Math. 144, No. 4, 729-749 (2020). MSC: 65F55 65F50 65F10 65F45 15A24 65H10 15A72 58D19 PDFBibTeX XMLCite \textit{B. Dong} et al., Numer. Math. 144, No. 4, 729--749 (2020; Zbl 1434.65053) Full Text: DOI
Friedland, Shmuel; Lim, Lek-Heng; Zhang, Jinjie Grothendieck constant is norm of Strassen matrix multiplication tensor. (English) Zbl 1426.15033 Numer. Math. 143, No. 4, 905-922 (2019). MSC: 15A60 15A69 47A80 65Y20 68Q15 PDFBibTeX XMLCite \textit{S. Friedland} et al., Numer. Math. 143, No. 4, 905--922 (2019; Zbl 1426.15033) Full Text: DOI arXiv
Kuo, Yueh-Cheng; Lin, Wen-Wei; Shieh, Shih-Feng A structure preserving flow for computing Hamiltonian matrix exponential. (English) Zbl 1437.65034 Numer. Math. 143, No. 3, 555-582 (2019). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{Y.-C. Kuo} et al., Numer. Math. 143, No. 3, 555--582 (2019; Zbl 1437.65034) Full Text: DOI
Nouy, Anthony Higher-order principal component analysis for the approximation of tensors in tree-based low-rank formats. (English) Zbl 1455.65031 Numer. Math. 141, No. 3, 743-789 (2019). MSC: 65D15 65F55 15A69 41A05 41A63 PDFBibTeX XMLCite \textit{A. Nouy}, Numer. Math. 141, No. 3, 743--789 (2019; Zbl 1455.65031) Full Text: DOI arXiv
Koev, Plamen Accurate eigenvalues and exact zero Jordan blocks of totally nonnegative matrices. (English) Zbl 1434.65035 Numer. Math. 141, No. 3, 693-713 (2019). Reviewer: Georg Hebermehl (Berlin) MSC: 65F15 65F22 65F35 65Y04 15A18 15A20 PDFBibTeX XMLCite \textit{P. Koev}, Numer. Math. 141, No. 3, 693--713 (2019; Zbl 1434.65035) Full Text: DOI
Bini, Dario A.; Meini, Beatrice On the exponential of semi-infinite quasi-Toeplitz matrices. (English) Zbl 1407.15036 Numer. Math. 141, No. 2, 319-351 (2019). MSC: 15B05 65F60 15A16 47B35 PDFBibTeX XMLCite \textit{D. A. Bini} and \textit{B. Meini}, Numer. Math. 141, No. 2, 319--351 (2019; Zbl 1407.15036) Full Text: DOI arXiv
Hu, Shenglong; Li, Guoyin Convergence rate analysis for the higher order power method in best rank one approximations of tensors. (English) Zbl 1404.65035 Numer. Math. 140, No. 4, 993-1031 (2018). MSC: 65F30 15A69 65F20 15A18 PDFBibTeX XMLCite \textit{S. Hu} and \textit{G. Li}, Numer. Math. 140, No. 4, 993--1031 (2018; Zbl 1404.65035) Full Text: DOI
Zhao, Zhi; Bai, Zheng-Jian; Jin, Xiao-Qing A Riemannian inexact Newton-CG method for constructing a nonnegative matrix with prescribed realizable spectrum. (English) Zbl 1416.65101 Numer. Math. 140, No. 4, 827-855 (2018). MSC: 65F18 15A18 15B48 PDFBibTeX XMLCite \textit{Z. Zhao} et al., Numer. Math. 140, No. 4, 827--855 (2018; Zbl 1416.65101) Full Text: DOI arXiv
Dopico, Froilán M.; Lawrence, Piers W.; Pérez, Javier; Van Dooren, Paul Block Kronecker linearizations of matrix polynomials and their backward errors. (English) Zbl 1416.65094 Numer. Math. 140, No. 2, 373-426 (2018). MSC: 65F15 65F35 15A18 15A22 15A54 PDFBibTeX XMLCite \textit{F. M. Dopico} et al., Numer. Math. 140, No. 2, 373--426 (2018; Zbl 1416.65094) Full Text: DOI arXiv
Harbrecht, Helmut; Tausch, Johannes A fast sparse grid based space-time boundary element method for the nonstationary heat equation. (English) Zbl 1403.65059 Numer. Math. 140, No. 1, 239-264 (2018). Reviewer: Vasilis Dimitriou (Chania) MSC: 65M38 35K05 65F50 35K20 15B05 PDFBibTeX XMLCite \textit{H. Harbrecht} and \textit{J. Tausch}, Numer. Math. 140, No. 1, 239--264 (2018; Zbl 1403.65059) Full Text: DOI
Benner, Peter; Bujanović, Zvonimir; Kürschner, Patrick; Saak, Jens RADI: a low-rank ADI-type algorithm for large scale algebraic Riccati equations. (English) Zbl 1385.65035 Numer. Math. 138, No. 2, 301-330 (2018). Reviewer: Constantin Popa (Constanţa) MSC: 65F30 15A24 65F10 PDFBibTeX XMLCite \textit{P. Benner} et al., Numer. Math. 138, No. 2, 301--330 (2018; Zbl 1385.65035) Full Text: DOI arXiv
Kazeev, Vladimir; Schwab, Christoph Quantized tensor-structured finite elements for second-order elliptic PDEs in two dimensions. (English) Zbl 1382.65409 Numer. Math. 138, No. 1, 133-190 (2018). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 15A69 35J25 65N12 PDFBibTeX XMLCite \textit{V. Kazeev} and \textit{C. Schwab}, Numer. Math. 138, No. 1, 133--190 (2018; Zbl 1382.65409) Full Text: DOI Link
Saibaba, Arvind K.; Alexanderian, Alen; Ipsen, Ilse C. F. Randomized matrix-free trace and log-determinant estimators. (English) Zbl 1378.65094 Numer. Math. 137, No. 2, 353-395 (2017). Reviewer: Constantin Popa (Constanţa) MSC: 65F40 68W20 65F15 65F25 65F35 15B52 62F15 PDFBibTeX XMLCite \textit{A. K. Saibaba} et al., Numer. Math. 137, No. 2, 353--395 (2017; Zbl 1378.65094) Full Text: DOI arXiv
Okša, Gabriel; Yamamoto, Yusaku; Vajteršic, Marián Asymptotic quadratic convergence of the serial block-Jacobi EVD algorithm for Hermitian matrices. (English) Zbl 1376.65053 Numer. Math. 136, No. 4, 1071-1095 (2017). Reviewer: Anton Iliev (Plovdiv) MSC: 65F15 15B57 PDFBibTeX XMLCite \textit{G. Okša} et al., Numer. Math. 136, No. 4, 1071--1095 (2017; Zbl 1376.65053) Full Text: DOI
Liu, Ching-Sung; Guo, Chun-Hua; Lin, Wen-Wei Newton-noda iteration for finding the Perron pair of a weakly irreducible nonnegative tensor. (English) Zbl 1376.65052 Numer. Math. 137, No. 1, 63-90 (2017). Reviewer: Anton Iliev (Plovdiv) MSC: 65F15 15A18 65F50 15A69 PDFBibTeX XMLCite \textit{C.-S. Liu} et al., Numer. Math. 137, No. 1, 63--90 (2017; Zbl 1376.65052) Full Text: DOI
Lin, Lin Randomized estimation of spectral densities of large matrices made accurate. (English) Zbl 1364.15007 Numer. Math. 136, No. 1, 183-213 (2017). Reviewer: Constantin Popa (Constanţa) MSC: 15A18 65F15 PDFBibTeX XMLCite \textit{L. Lin}, Numer. Math. 136, No. 1, 183--213 (2017; Zbl 1364.15007) Full Text: DOI arXiv
Hackbusch, Wolfgang; Uschmajew, André On the interconnection between the higher-order singular values of real tensors. (English) Zbl 1364.15018 Numer. Math. 135, No. 3, 875-894 (2017). Reviewer: John D. Dixon (Ottawa) MSC: 15A69 15A18 15A21 PDFBibTeX XMLCite \textit{W. Hackbusch} and \textit{A. Uschmajew}, Numer. Math. 135, No. 3, 875--894 (2017; Zbl 1364.15018) Full Text: DOI
Xue, Jungong; Li, Ren-Cang Highly accurate doubling algorithms for \(M\)-matrix algebraic Riccati equations. (English) Zbl 1362.65049 Numer. Math. 135, No. 3, 733-767 (2017). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F30 15A24 65F10 PDFBibTeX XMLCite \textit{J. Xue} and \textit{R.-C. Li}, Numer. Math. 135, No. 3, 733--767 (2017; Zbl 1362.65049) Full Text: DOI
Charina, M.; Conti, C.; Guglielmi, N.; Protasov, V. Regularity of non-stationary subdivision: a matrix approach. (English) Zbl 06695813 Numer. Math. 135, No. 3, 639-678 (2017). MSC: 65D17 15A60 39A99 PDFBibTeX XMLCite \textit{M. Charina} et al., Numer. Math. 135, No. 3, 639--678 (2017; Zbl 06695813) Full Text: DOI arXiv
Massoudi, Arash; Opmeer, Mark R.; Reis, Timo The ADI method for bounded real and positive real Lur’e equations. (English) Zbl 1361.65026 Numer. Math. 135, No. 2, 431-458 (2017). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65F30 15A24 93B52 65K10 65F10 PDFBibTeX XMLCite \textit{A. Massoudi} et al., Numer. Math. 135, No. 2, 431--458 (2017; Zbl 1361.65026) Full Text: DOI Link
Roman, Fabio; Manni, Carla; Speleers, Hendrik Spectral analysis of matrices in Galerkin methods based on generalized B-splines with high smoothness. (English) Zbl 1361.65049 Numer. Math. 135, No. 1, 169-216 (2017). Reviewer: Christian Pötzsche (Klagenfurt) MSC: 65L10 15A18 15B05 65L60 34B05 PDFBibTeX XMLCite \textit{F. Roman} et al., Numer. Math. 135, No. 1, 169--216 (2017; Zbl 1361.65049) Full Text: DOI Link
Shank, Stephen D.; Simoncini, Valeria; Szyld, Daniel B. Efficient low-rank solution of generalized Lyapunov equations. (English) Zbl 1348.65078 Numer. Math. 134, No. 2, 327-342 (2016). MSC: 65F30 15A24 65F10 PDFBibTeX XMLCite \textit{S. D. Shank} et al., Numer. Math. 134, No. 2, 327--342 (2016; Zbl 1348.65078) Full Text: DOI
Chen, Xiao Shan On estimating the separation of two regular matrix pairs. (English) Zbl 1353.15018 Numer. Math. 134, No. 2, 223-247 (2016). Reviewer: Adhemar Bultheel (Leuven) MSC: 15A42 65F15 65F30 15A21 PDFBibTeX XMLCite \textit{X. S. Chen}, Numer. Math. 134, No. 2, 223--247 (2016; Zbl 1353.15018) Full Text: DOI
Hackbusch, Wolfgang New estimates for the recursive low-rank truncation of block-structured matrices. (English) Zbl 1333.65046 Numer. Math. 132, No. 2, 303-328 (2016). Reviewer: Constantin Popa (Constanţa) MSC: 65F30 15A18 15A45 PDFBibTeX XMLCite \textit{W. Hackbusch}, Numer. Math. 132, No. 2, 303--328 (2016; Zbl 1333.65046) Full Text: DOI
Li, Wen; Ng, Michael K. Some bounds for the spectral radius of nonnegative tensors. (English) Zbl 1345.15003 Numer. Math. 130, No. 2, 315-335 (2015). Reviewer: Frank Uhlig (Auburn) MSC: 15A42 15A18 15A60 15A69 65F35 PDFBibTeX XMLCite \textit{W. Li} and \textit{M. K. Ng}, Numer. Math. 130, No. 2, 315--335 (2015; Zbl 1345.15003) Full Text: DOI
Aishima, Kensuke Global convergence of the restarted Lanczos and Jacobi-Davidson methods for symmetric eigenvalue problems. (English) Zbl 1325.65050 Numer. Math. 131, No. 3, 405-423 (2015). Reviewer: Anton Iliev (Plovdiv) MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{K. Aishima}, Numer. Math. 131, No. 3, 405--423 (2015; Zbl 1325.65050) Full Text: DOI
Mertens, Clara; Vandebril, Raf Short recurrences for computing extended Krylov bases for Hermitian and unitary matrices. (English) Zbl 1330.65063 Numer. Math. 131, No. 2, 303-328 (2015). Reviewer: Michael Jung (Dresden) MSC: 65F25 15A23 15B10 15B57 65F50 PDFBibTeX XMLCite \textit{C. Mertens} and \textit{R. Vandebril}, Numer. Math. 131, No. 2, 303--328 (2015; Zbl 1330.65063) Full Text: DOI Link
Nguyen, Giang T.; Poloni, Federico Componentwise accurate fluid queue computations using doubling algorithms. (English) Zbl 1326.65055 Numer. Math. 130, No. 4, 763-792 (2015). Reviewer: Frank Uhlig (Auburn) MSC: 65F30 65F05 65C50 60K25 15A24 PDFBibTeX XMLCite \textit{G. T. Nguyen} and \textit{F. Poloni}, Numer. Math. 130, No. 4, 763--792 (2015; Zbl 1326.65055) Full Text: DOI arXiv
Jia, Zhongxiao; Lin, Wen-Wei; Liu, Ching-Sung A positivity preserving inexact Noda iteration for computing the smallest eigenpair of a large irreducible \(M\)-matrix. (English) Zbl 1320.65055 Numer. Math. 130, No. 4, 645-679 (2015). Reviewer: Constantin Popa (Constanţa) MSC: 65F15 65F50 15B48 PDFBibTeX XMLCite \textit{Z. Jia} et al., Numer. Math. 130, No. 4, 645--679 (2015; Zbl 1320.65055) Full Text: DOI arXiv
Strobach, Peter Constrained optimization of the overdetermined Zimmermann compressor for nonorthogonal joint matrix diagonalization. (English) Zbl 1310.65049 Numer. Math. 129, No. 3, 563-586 (2015). MSC: 65F30 65F20 15A21 PDFBibTeX XMLCite \textit{P. Strobach}, Numer. Math. 129, No. 3, 563--586 (2015; Zbl 1310.65049) Full Text: DOI
Guglielmi, Nicola; Kressner, Daniel; Lubich, Christian Low rank differential equations for Hamiltonian matrix nearness problems. (English) Zbl 1312.65070 Numer. Math. 129, No. 2, 279-319 (2015). Reviewer: Constantin Popa (Constanţa) MSC: 65F30 15A18 93B36 93B40 49N35 65F15 93B52 93C05 65K10 PDFBibTeX XMLCite \textit{N. Guglielmi} et al., Numer. Math. 129, No. 2, 279--319 (2015; Zbl 1312.65070) Full Text: DOI
Garoni, Carlo; Manni, Carla; Pelosi, Francesca; Serra-Capizzano, Stefano; Speleers, Hendrik On the spectrum of stiffness matrices arising from isogeometric analysis. (English) Zbl 1298.65172 Numer. Math. 127, No. 4, 751-799 (2014). Reviewer: Marius Ghergu (Dublin) MSC: 65N30 15A12 15A18 PDFBibTeX XMLCite \textit{C. Garoni} et al., Numer. Math. 127, No. 4, 751--799 (2014; Zbl 1298.65172) Full Text: DOI Link
Hackbusch, Wolfgang \(L^{\infty}\) estimation of tensor truncations. (English) Zbl 1282.65046 Numer. Math. 125, No. 3, 419-440 (2013). Reviewer: R. P. Tewarson (Stony Brook) MSC: 65F20 15A69 15A18 PDFBibTeX XMLCite \textit{W. Hackbusch}, Numer. Math. 125, No. 3, 419--440 (2013; Zbl 1282.65046) Full Text: DOI
Barlow, Jesse L. Reorthogonalization for the Golub-Kahan-Lanczos bidiagonal reduction. (English) Zbl 1272.65034 Numer. Math. 124, No. 2, 237-278 (2013). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F25 65F15 15A18 65F20 PDFBibTeX XMLCite \textit{J. L. Barlow}, Numer. Math. 124, No. 2, 237--278 (2013; Zbl 1272.65034) Full Text: DOI
Bai, Zhong-Zhi; Liu, Xin-Guo On the Meany inequality with applications to convergence analysis of several row-action iteration methods. (English) Zbl 1306.15015 Numer. Math. 124, No. 2, 215-236 (2013). Reviewer: Omar Hirzallah (Zarqa) MSC: 15A39 15A45 65F05 65F10 65F20 65F50 PDFBibTeX XMLCite \textit{Z.-Z. Bai} and \textit{X.-G. Liu}, Numer. Math. 124, No. 2, 215--236 (2013; Zbl 1306.15015) Full Text: DOI
Espig, Mike; Hackbusch, Wolfgang A regularized Newton method for the efficient approximation of tensors represented in the canonical tensor format. (English) Zbl 1264.65087 Numer. Math. 122, No. 3, 489-525 (2012). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 15A69 90C06 90C26 90C53 PDFBibTeX XMLCite \textit{M. Espig} and \textit{W. Hackbusch}, Numer. Math. 122, No. 3, 489--525 (2012; Zbl 1264.65087) Full Text: DOI
Espig, Mike; Hackbusch, Wolfgang; Rohwedder, Thorsten; Schneider, Reinhold Variational calculus with sums of elementary tensors of fixed rank. (English) Zbl 1259.65090 Numer. Math. 122, No. 3, 469-488 (2012). MSC: 65K05 90C06 15A69 65F15 65F20 PDFBibTeX XMLCite \textit{M. Espig} et al., Numer. Math. 122, No. 3, 469--488 (2012; Zbl 1259.65090) Full Text: DOI
Nakatsukasa, Yuji On the condition numbers of a multiple eigenvalue of a generalized eigenvalue problem. (English) Zbl 1252.15012 Numer. Math. 121, No. 3, 531-544 (2012). Reviewer: Ioannis Dassios (Thrakomakedones) MSC: 15A22 15A18 65F15 65F35 PDFBibTeX XMLCite \textit{Y. Nakatsukasa}, Numer. Math. 121, No. 3, 531--544 (2012; Zbl 1252.15012) Full Text: DOI arXiv Link
Ballani, Jonas Fast evaluation of singular BEM integrals based on tensor approximations. (English) Zbl 1261.65026 Numer. Math. 121, No. 3, 433-460 (2012). Reviewer: Ana-Maria Acu (Sibiu) MSC: 65D32 65N38 15A69 41A55 41A63 PDFBibTeX XMLCite \textit{J. Ballani}, Numer. Math. 121, No. 3, 433--460 (2012; Zbl 1261.65026) Full Text: DOI
Beckermann, Bernhard; Güttel, Stefan Superlinear convergence of the rational Arnoldi method for the approximation of matrix functions. (English) Zbl 1271.65059 Numer. Math. 121, No. 2, 205-236 (2012). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F10 05C50 31C15 15A16 15B57 PDFBibTeX XMLCite \textit{B. Beckermann} and \textit{S. Güttel}, Numer. Math. 121, No. 2, 205--236 (2012; Zbl 1271.65059) Full Text: DOI
Xue, Jungong; Xu, Shufang; Li, Ren-Cang Accurate solutions of \(M\)-matrix algebraic Riccati equations. (English) Zbl 1260.15025 Numer. Math. 120, No. 4, 671-700 (2012). Reviewer: Martin Plešinger (Liberec) MSC: 15A24 65F30 65G99 65H10 PDFBibTeX XMLCite \textit{J. Xue} et al., Numer. Math. 120, No. 4, 671--700 (2012; Zbl 1260.15025) Full Text: DOI
Xue, Jungong; Xu, Shufang; Li, Ren-Cang Accurate solutions of \(M\)-matrix Sylvester equations. (English) Zbl 1245.65053 Numer. Math. 120, No. 4, 639-670 (2012). Reviewer: Jong Hyuk Park (Ulsan) MSC: 65F30 47A55 15A24 PDFBibTeX XMLCite \textit{J. Xue} et al., Numer. Math. 120, No. 4, 639--670 (2012; Zbl 1245.65053) Full Text: DOI
Holtz, Sebastian; Rohwedder, Thorsten; Schneider, Reinhold On manifolds of tensors of fixed TT-rank. (English) Zbl 1242.15022 Numer. Math. 120, No. 4, 701-731 (2012). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15A69 57N35 PDFBibTeX XMLCite \textit{S. Holtz} et al., Numer. Math. 120, No. 4, 701--731 (2012; Zbl 1242.15022) Full Text: DOI
Vandebril, Raf; Del Corso, Gianna M. A unification of unitary similarity transforms to compressed representations. (English) Zbl 1231.65075 Numer. Math. 119, No. 4, 641-665 (2011). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65F30 15A21 65F10 65F15 PDFBibTeX XMLCite \textit{R. Vandebril} and \textit{G. M. Del Corso}, Numer. Math. 119, No. 4, 641--665 (2011; Zbl 1231.65075) Full Text: DOI Link
Hackbusch, Wolfgang Tensorisation of vectors and their efficient convolution. (English) Zbl 1236.15054 Numer. Math. 119, No. 3, 465-488 (2011). Reviewer: Rodica Covaci (Cluj-Napoca) MSC: 15A69 65F30 PDFBibTeX XMLCite \textit{W. Hackbusch}, Numer. Math. 119, No. 3, 465--488 (2011; Zbl 1236.15054) Full Text: DOI
Dopico, Froilán M.; Koev, Plamen Perturbation theory for the LDU factorization and accurate computations for diagonally dominant matrices. (English) Zbl 1254.65042 Numer. Math. 119, No. 2, 337-371 (2011). Reviewer: Hu Yong-Jian (Beijing) MSC: 65F05 65F30 65F15 15A18 15A23 PDFBibTeX XMLCite \textit{F. M. Dopico} and \textit{P. Koev}, Numer. Math. 119, No. 2, 337--371 (2011; Zbl 1254.65042) Full Text: DOI
Huang, Tsung-Ming; Lin, Wen-Wei; Su, Wei-Shuo Palindromic quadratization and structure-preserving algorithm for palindromic matrix polynomials of even degree. (English) Zbl 1222.65033 Numer. Math. 118, No. 4, 713-735 (2011). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65F15 15A18 15B57 PDFBibTeX XMLCite \textit{T.-M. Huang} et al., Numer. Math. 118, No. 4, 713--735 (2011; Zbl 1222.65033) Full Text: DOI Link
Knizhnerman, L.; Simoncini, V. Convergence analysis of the extended Krylov subspace method for the Lyapunov equation. (English) Zbl 1230.65055 Numer. Math. 118, No. 3, 567-586 (2011). Reviewer: Cyril Fischer (Praha) MSC: 65F30 65F10 15A24 PDFBibTeX XMLCite \textit{L. Knizhnerman} and \textit{V. Simoncini}, Numer. Math. 118, No. 3, 567--586 (2011; Zbl 1230.65055) Full Text: DOI
Sidje, Roger B. On the simultaneous tridiagonalization of two symmetric matrices. (English) Zbl 1221.65107 Numer. Math. 118, No. 3, 549-566 (2011). MSC: 65F30 15A22 PDFBibTeX XMLCite \textit{R. B. Sidje}, Numer. Math. 118, No. 3, 549--566 (2011; Zbl 1221.65107) Full Text: DOI
Mengi, Emre Locating a nearest matrix with an eigenvalue of prespecified algebraic multiplicity. (English) Zbl 1219.65046 Numer. Math. 118, No. 1, 109-135 (2011). Reviewer: Efstratios Rappos (Aubonne) MSC: 65F30 15A18 90C56 15A60 65K05 65F15 PDFBibTeX XMLCite \textit{E. Mengi}, Numer. Math. 118, No. 1, 109--135 (2011; Zbl 1219.65046) Full Text: DOI
Bini, Dario A.; Meini, Beatrice; Poloni, Federico Transforming algebraic Riccati equations into unilateral quadratic matrix equations. (English) Zbl 1202.15016 Numer. Math. 116, No. 4, 553-578 (2010). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 15A24 65F30 PDFBibTeX XMLCite \textit{D. A. Bini} et al., Numer. Math. 116, No. 4, 553--578 (2010; Zbl 1202.15016) Full Text: DOI
Niu, Qiang; Grigori, Laura; Kumar, Pawan; Nataf, Frédéric Modified tangential frequency filtering decomposition and its Fourier analysis. (English) Zbl 1211.65038 Numer. Math. 116, No. 1, 123-148 (2010). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65F08 65F10 65F35 15A12 PDFBibTeX XMLCite \textit{Q. Niu} et al., Numer. Math. 116, No. 1, 123--148 (2010; Zbl 1211.65038) Full Text: DOI Link
Li, Ren-Cang; Lin, Wen-Wei; Wang, Chern-Shuh Structured backward error for palindromic polynomial eigenvalue problems. (English) Zbl 1213.65063 Numer. Math. 116, No. 1, 95-122 (2010). Reviewer: Daniel Kressner (Lausanne) MSC: 65F15 15A54 PDFBibTeX XMLCite \textit{R.-C. Li} et al., Numer. Math. 116, No. 1, 95--122 (2010; Zbl 1213.65063) Full Text: DOI
Dopico, Froilán M.; Koev, Plamen; Molera, Juan M. Implicit standard Jacobi gives high relative accuracy. (English) Zbl 1223.65025 Numer. Math. 113, No. 4, 519-553 (2009). MSC: 65F15 15B57 15A12 65F35 PDFBibTeX XMLCite \textit{F. M. Dopico} et al., Numer. Math. 113, No. 4, 519--553 (2009; Zbl 1223.65025) Full Text: DOI
Foucart, Simon Allometry constants of finite-dimensional spaces: Theory and computations. (English) Zbl 1181.65067 Numer. Math. 112, No. 4, 535-564 (2009). Reviewer: Willy Govaerts (Gent) MSC: 65F35 15-04 PDFBibTeX XMLCite \textit{S. Foucart}, Numer. Math. 112, No. 4, 535--564 (2009; Zbl 1181.65067) Full Text: DOI
Xue, Jungong; Ye, Qiang Entrywise relative perturbation bounds for exponentials of essentially non-negative matrices. (English) Zbl 1163.65021 Numer. Math. 110, No. 3, 393-403 (2008). Reviewer: Georg Hebermehl (Berlin) MSC: 65F30 15A42 15A54 15A12 65C40 60J25 60J22 PDFBibTeX XMLCite \textit{J. Xue} and \textit{Q. Ye}, Numer. Math. 110, No. 3, 393--403 (2008; Zbl 1163.65021) Full Text: DOI
Kirkland, Stephen J.; Neumann, Michael; Sze, Nung-Sing On optimal condition numbers for Markov chains. (English) Zbl 1160.60022 Numer. Math. 110, No. 4, 521-537 (2008). Reviewer: Alex V. Kolnogorov (Novgorod) MSC: 60J10 15B51 15A12 PDFBibTeX XMLCite \textit{S. J. Kirkland} et al., Numer. Math. 110, No. 4, 521--537 (2008; Zbl 1160.60022) Full Text: DOI
Galántai, A.; Hegedűs, C. J. Perturbation bounds for polynomials. (English) Zbl 1140.65037 Numer. Math. 109, No. 1, 77-100 (2008). Reviewer: Jiří Vaníček (Praha) MSC: 65H05 65F15 15A12 65J20 PDFBibTeX XMLCite \textit{A. Galántai} and \textit{C. J. Hegedűs}, Numer. Math. 109, No. 1, 77--100 (2008; Zbl 1140.65037) Full Text: DOI
Serra-Capizzano, Stefano Simplification of a result on banded Toeplitz matrices and BVM methods. (English) Zbl 1129.65031 Numer. Math. 107, No. 1, 175-179 (2007). Reviewer: Murli Gupta (Washington, D. C.) MSC: 65F30 15A12 15A18 15B48 65L20 PDFBibTeX XMLCite \textit{S. Serra-Capizzano}, Numer. Math. 107, No. 1, 175--179 (2007; Zbl 1129.65031) Full Text: DOI
Chen, Xiao Shan On perturbation bounds of generalized eigenvalues for diagonalizable pairs. (English) Zbl 1124.15013 Numer. Math. 107, No. 1, 79-86 (2007). Reviewer: C. M. da Fonseca (Coimbra) MSC: 15A42 PDFBibTeX XMLCite \textit{X. S. Chen}, Numer. Math. 107, No. 1, 79--86 (2007; Zbl 1124.15013) Full Text: DOI
Burke, J. V.; Lewis, A. S.; Overton, M. L. Spectral conditioning and pseudospectral growth. (English) Zbl 1124.15004 Numer. Math. 107, No. 1, 27-37 (2007). Reviewer: C. M. da Fonseca (Coimbra) MSC: 15A18 15A12 PDFBibTeX XMLCite \textit{J. V. Burke} et al., Numer. Math. 107, No. 1, 27--37 (2007; Zbl 1124.15004) Full Text: DOI
Bouchon, François Monotonicity of some perturbations of irreducibly diagonally dominant \(M\)-matrices. (English) Zbl 1120.15021 Numer. Math. 105, No. 4, 591-601 (2007). Reviewer: Manouchehr Misaghian (Charlotte) MSC: 15B57 65N12 PDFBibTeX XMLCite \textit{F. Bouchon}, Numer. Math. 105, No. 4, 591--601 (2007; Zbl 1120.15021) Full Text: DOI
Benner, Peter; Byers, Ralph An arithmetic for matrix pencils: theory and new algorithms. (English) Zbl 1101.65046 Numer. Math. 103, No. 4, 539-573 (2006). Reviewer: Liu Xinguo (Qingdao) MSC: 65F30 15A22 PDFBibTeX XMLCite \textit{P. Benner} and \textit{R. Byers}, Numer. Math. 103, No. 4, 539--573 (2006; Zbl 1101.65046) Full Text: DOI Link
Kressner, Daniel A periodic Krylov-Schur algorithm for large matrix products. (English) Zbl 1094.65027 Numer. Math. 103, No. 3, 461-483 (2006). MSC: 65F15 65F50 15-04 PDFBibTeX XMLCite \textit{D. Kressner}, Numer. Math. 103, No. 3, 461--483 (2006; Zbl 1094.65027) Full Text: DOI Link
Guo, Xiao-Xia; Lin, Wen-Wei; Xu, Shu-Fang A structure-preserving doubling algorithm for nonsymmetric algebraic Riccati equation. (English) Zbl 1097.65055 Numer. Math. 103, No. 3, 393-412 (2006). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65F30 15A24 65Y05 PDFBibTeX XMLCite \textit{X.-X. Guo} et al., Numer. Math. 103, No. 3, 393--412 (2006; Zbl 1097.65055) Full Text: DOI
Vandebril, Raf; Van Camp, Ellen; Van Barel, Marc; Mastronardi, Nicola Orthogonal similarity transformation of a symmetric matrix into a diagonal-plus-semiseparable one with free choice of the diagonal. (English) Zbl 1086.65040 Numer. Math. 102, No. 4, 709-726 (2006). MSC: 65F30 65Y20 15A21 PDFBibTeX XMLCite \textit{R. Vandebril} et al., Numer. Math. 102, No. 4, 709--726 (2006; Zbl 1086.65040) Full Text: DOI
da Fonseca, C. M.; Petronilho, J. Explicit inverse of a tridiagonal \(k\)-Toeplitz matrix. (English) Zbl 1076.15011 Numer. Math. 100, No. 3, 457-482 (2005). Reviewer: Nicholas Karampetakis (Thessaloniki) MSC: 15A09 42C05 15B57 PDFBibTeX XMLCite \textit{C. M. da Fonseca} and \textit{J. Petronilho}, Numer. Math. 100, No. 3, 457--482 (2005; Zbl 1076.15011) Full Text: DOI
Lu, Linzhang; Ng, Michael K. On sufficient and necessary conditions for the Jacobi matrix inverse eigenvalue problem. (English) Zbl 1058.65046 Numer. Math. 98, No. 1, 167-176 (2004). Reviewer: Alan L. Andrew (Bundoora) MSC: 65F18 15A29 15A18 65L09 65L15 34L16 34A55 34B24 PDFBibTeX XMLCite \textit{L. Lu} and \textit{M. K. Ng}, Numer. Math. 98, No. 1, 167--176 (2004; Zbl 1058.65046) Full Text: DOI
Stewart, G. W. On the powers of a matrix with perturbations. (English) Zbl 1089.15028 Numer. Math. 96, No. 2, 363-376 (2003). Reviewer: Costică Moroşanu (Iaşi) MSC: 15A60 65F15 PDFBibTeX XMLCite \textit{G. W. Stewart}, Numer. Math. 96, No. 2, 363--376 (2003; Zbl 1089.15028) Full Text: DOI Link
Aceto, Lidia; Trigiante, Donato On the properties of matrices defining some classes of BVMs. (English) Zbl 1054.65074 Numer. Math. 96, No. 1, 1-16 (2003). Reviewer: Lubomír Bakule (Praha) MSC: 65L06 15B48 65L05 34A34 PDFBibTeX XMLCite \textit{L. Aceto} and \textit{D. Trigiante}, Numer. Math. 96, No. 1, 1--16 (2003; Zbl 1054.65074) Full Text: DOI
Peña, J. M. On an alternative to Gerschgorin circles and ovals of Cassini. (English) Zbl 1032.15014 Numer. Math. 95, No. 2, 337-345 (2003). Reviewer: Alan L.Andrew (Bundoora) MSC: 15A42 65F15 PDFBibTeX XMLCite \textit{J. M. Peña}, Numer. Math. 95, No. 2, 337--345 (2003; Zbl 1032.15014) Full Text: DOI
Sidi, Avram; Kanevsky, Yuliya Orthogonal polynomials and semi-iterative methods for the Drazin-inverse solution of singular linear systems. (English) Zbl 1019.65026 Numer. Math. 93, No. 3, 563-581 (2003). Reviewer: Krassimir Georgiev (Sofia) MSC: 65F20 65F10 15A09 15A06 PDFBibTeX XMLCite \textit{A. Sidi} and \textit{Y. Kanevsky}, Numer. Math. 93, No. 3, 563--581 (2003; Zbl 1019.65026) Full Text: DOI
Song, Yongzhong Comparison theorems for splittings of matrices. (English) Zbl 1012.65028 Numer. Math. 92, No. 3, 563-591 (2002). Reviewer: Nicholas Karampetakis (Thessaloniki) MSC: 65F10 65Y05 15A06 PDFBibTeX XMLCite \textit{Y. Song}, Numer. Math. 92, No. 3, 563--591 (2002; Zbl 1012.65028) Full Text: DOI
Allen, Leanne; Bridges, Thomas J. Numerical exterior algebra and the compound matrix method. (English) Zbl 1012.65079 Numer. Math. 92, No. 2, 197-232 (2002). Reviewer: Rémi Vaillancourt (Ottawa / Ontario) MSC: 65L15 65L20 76D10 86A05 34L16 15A75 86A10 76B25 PDFBibTeX XMLCite \textit{L. Allen} and \textit{T. J. Bridges}, Numer. Math. 92, No. 2, 197--232 (2002; Zbl 1012.65079) Full Text: DOI
Alfa, Attahiru Sule; Xue, Jungong; Ye, Qiang Entrywise perturbation theory for diagonally dominant M-matrices with applications. (English) Zbl 1022.15020 Numer. Math. 90, No. 3, 401-414 (2002). Reviewer: Michael M.Konstantinov (Sofia) MSC: 15A42 94C05 15A09 65F15 PDFBibTeX XMLCite \textit{A. S. Alfa} et al., Numer. Math. 90, No. 3, 401--414 (2002; Zbl 1022.15020) Full Text: DOI
Esmaeili, Hamid; Mahdavi-Amiri, Nezam; Spedicato, Emilio A class of ABS algorithms for Diophantine linear systems. (English) Zbl 1025.15003 Numer. Math. 90, No. 1, 101-115 (2001). Reviewer: M.M.Konstantinov (Sofia) MSC: 15A06 11D04 15B36 65F30 PDFBibTeX XMLCite \textit{H. Esmaeili} et al., Numer. Math. 90, No. 1, 101--115 (2001; Zbl 1025.15003) Full Text: DOI
Stewart, G. W. On the eigensystems of graded matrices. (English) Zbl 0999.15006 Numer. Math. 90, No. 2, 349-370 (2001). Reviewer: Chen Zhijie (Shanghai) MSC: 15A18 15A12 65F15 15B57 PDFBibTeX XMLCite \textit{G. W. Stewart}, Numer. Math. 90, No. 2, 349--370 (2001; Zbl 0999.15006) Full Text: DOI Link
Eisinberg, Alfredo; Pugliese, Paolo; Salerno, Nicola Vandermonde matrices on integer nodes: The rectangular case. (English) Zbl 0974.65029 Numer. Math. 87, No. 4, 663-674 (2001). Reviewer: Emil Minchev (Sofia) MSC: 65F05 65F15 15A42 PDFBibTeX XMLCite \textit{A. Eisinberg} et al., Numer. Math. 87, No. 4, 663--674 (2001; Zbl 0974.65029) Full Text: DOI
Beckermann, Bernhard The condition number of real Vandermonde, Krylov and positive definite Hankel matrices. (English) Zbl 0965.15003 Numer. Math. 85, No. 4, 553-577 (2000). Reviewer: J.D.Dixon (Ottawa) MSC: 15A12 65F35 15A60 PDFBibTeX XMLCite \textit{B. Beckermann}, Numer. Math. 85, No. 4, 553--577 (2000; Zbl 0965.15003) Full Text: DOI
Xue, Jungong; Gao, Weiguo Blockwise perturbation theory for block \(p\)-cyclic stochastic matrices. (English) Zbl 0948.15020 Numer. Math. 84, No. 3, 519-526 (2000). Reviewer: Huang Wenxue (North York /Ontario) MSC: 15B51 60J10 PDFBibTeX XMLCite \textit{J. Xue} and \textit{W. Gao}, Numer. Math. 84, No. 3, 519--526 (2000; Zbl 0948.15020) Full Text: DOI
Eldén, Lars; Park, Haesun A Procrustes problem on the Stiefel manifold. (English) Zbl 0934.65052 Numer. Math. 82, No. 4, 599-619 (1999). Reviewer: F.Szidarovszky (Tucson) MSC: 65F20 15A24 PDFBibTeX XMLCite \textit{L. Eldén} and \textit{H. Park}, Numer. Math. 82, No. 4, 599--619 (1999; Zbl 0934.65052) Full Text: DOI
Malyshev, Alexander N. A formula for the 2-norm distance from a matrix to the set of matrices with multiple eigenvalues. (English) Zbl 0972.15011 Numer. Math. 83, No. 3, 443-454 (1999). Reviewer: Tage Bai Andersen (Aarhus) MSC: 15A42 PDFBibTeX XMLCite \textit{A. N. Malyshev}, Numer. Math. 83, No. 3, 443--454 (1999; Zbl 0972.15011) Full Text: DOI
Li, Chi-Kwong; Mathias, Roy The Lidskii-Mirsky-Wielandt theorem – additive and multiplicative versions. (English) Zbl 0922.15010 Numer. Math. 81, No. 3, 377-413 (1999). Reviewer: F.Uhlig (Auburn) MSC: 15A42 PDFBibTeX XMLCite \textit{C.-K. Li} and \textit{R. Mathias}, Numer. Math. 81, No. 3, 377--413 (1999; Zbl 0922.15010) Full Text: DOI
McDonald, J. J.; Schneider, H. Block \(LU\) factorizations of \(M\)-matrices. (English) Zbl 0913.65021 Numer. Math. 80, No. 1, 109-130 (1998). Reviewer: F.Uhlig (Auburn) MSC: 65F05 15A23 PDFBibTeX XMLCite \textit{J. J. McDonald} and \textit{H. Schneider}, Numer. Math. 80, No. 1, 109--130 (1998; Zbl 0913.65021) Full Text: DOI arXiv
Eisinberg, Alfredo; Franzé, Giuseppe; Pugliese, Paolo Vandermonde matrices on integer nodes. (English) Zbl 0913.65022 Numer. Math. 80, No. 1, 75-85 (1998). Reviewer: F.Uhlig (Auburn) MSC: 65F05 15B36 11Z05 15B57 65F35 PDFBibTeX XMLCite \textit{A. Eisinberg} et al., Numer. Math. 80, No. 1, 75--85 (1998; Zbl 0913.65022) Full Text: DOI
Sun, Ji-guang Residual bounds of approximate solutions of the discrete-time algebraic Riccati equation. (English) Zbl 0888.65051 Numer. Math. 78, No. 3, 463-478 (1998). Reviewer: G.Jumarie (Montréal) MSC: 65F30 15A24 65K10 93C55 PDFBibTeX XMLCite \textit{J.-g. Sun}, Numer. Math. 78, No. 3, 463--478 (1998; Zbl 0888.65051) Full Text: DOI
Meini, Beatrice New convergence results on functional iteration techniques for the numerical solution of M/G/1 type Markov chains. (English) Zbl 0889.65145 Numer. Math. 78, No. 1, 39-58 (1997). Reviewer: S.Curteanu (Iaşi) MSC: 65C99 65H10 15A24 60J10 60K25 15B51 PDFBibTeX XMLCite \textit{B. Meini}, Numer. Math. 78, No. 1, 39--58 (1997; Zbl 0889.65145) Full Text: DOI
He, C. On the distance to uncontrollability and the distance to instability and their relation to some condition numbers in control. (English) Zbl 0882.65032 Numer. Math. 76, No. 4, 463-477 (1997). Reviewer: W.Govaerts (Gent) MSC: 65F35 15A24 93B55 93B05 PDFBibTeX XMLCite \textit{C. He}, Numer. Math. 76, No. 4, 463--477 (1997; Zbl 0882.65032) Full Text: DOI
Benzi, Michele; Szyld, Daniel B. Existence and uniqueness of splittings for stationary iterative methods with applications to alternating methods. (English) Zbl 0905.65048 Numer. Math. 76, No. 3, 309-321 (1997). Reviewer: H.Matthies (Braunschweig) MSC: 65F10 15A06 PDFBibTeX XMLCite \textit{M. Benzi} and \textit{D. B. Szyld}, Numer. Math. 76, No. 3, 309--321 (1997; Zbl 0905.65048) Full Text: DOI