Kumar, G. Krishna; Vivek, P. V. Norm behavior of Jordan and bidiagonal matrices. (English) Zbl 07952549 Adv. Oper. Theory 9, No. 4, Paper No. 81, 17 p. (2024). MSC: 15A60 15A10 15A18 15A20 47A30 × Cite Format Result Cite Review PDF Full Text: DOI
Ammar, Aymen; Daoud, Houcem; Jeribi, Aref New results of spectra and pseudospectra of multivalued linear operators. (English) Zbl 07920304 Funct. Anal. Approx. Comput. 16, No. 2, 1-18 (2024). MSC: 47A55 × Cite Format Result Cite Review PDF Full Text: Link
Safique Ahmad, Sk.; Nag, Gyan Swarup Pseudospectra, stability radii and their relationship with backward error for structured nonlinear eigenvalue problems. (English) Zbl 07869415 Math. Methods Appl. Sci. 47, No. 9, 7372-7396 (2024). MSC: 65H17 65F15 × Cite Format Result Cite Review PDF Full Text: DOI
Carson, Erin; Liesen, Jörg; Strakoš, Zdeněk Towards understanding CG and GMRES through examples. (English) Zbl 1545.65127 Linear Algebra Appl. 692, 241-291 (2024). MSC: 65F10 65F08 65F35 65G50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chtourou, Ines; Krichen, Bilel \(\varepsilon\)-pseudo weak-demicompactness for \(2 \times 2\) block operator matrices. (English) Zbl 07876227 Adv. Pure Appl. Math. 15, No. 2, 1-17 (2024). MSC: 47A08 47A53 47A55 47A10 × Cite Format Result Cite Review PDF Full Text: DOI
Cerjan, Alexander; Loring, Terry A.; Vides, Fredy Quadratic pseudospectrum for identifying localized states. (English) Zbl 1511.74066 J. Math. Phys. 64, No. 2, Article ID 023501, 21 p. (2023). MSC: 74S25 82D03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Saadaoui, Bilel Characterization of the condition S-spectrum of a compact operator in a right quaternionic Hilbert space. (English) Zbl 07658720 Rend. Circ. Mat. Palermo (2) 72, No. 1, 707-724 (2023). MSC: 47S05 47A10 × Cite Format Result Cite Review PDF Full Text: DOI
van Noordt, William; Ganju, Sparsh; Brehm, Christoph An immersed boundary method for wall-modeled large-eddy simulation of turbulent high-Mach-number flows. (English) Zbl 07599616 J. Comput. Phys. 470, Article ID 111583, 30 p. (2022). MSC: 76Mxx 65Mxx 76Fxx × Cite Format Result Cite Review PDF Full Text: DOI
Abdmouleh, Faiçal; Elgabeur, Bilel Pseudo essential spectra in Banach space and application to operator matrices. (English) Zbl 1504.47030 Acta Appl. Math. 181, Paper No. 7, 16 p. (2022). MSC: 47A53 47A55 47A10 47A08 × Cite Format Result Cite Review PDF Full Text: DOI
Ammar, Aymen; Jeribi, Aref; Lazrag, Nawrez Pseudo \(S\)-spectrum in a right quaternionic Hilbert space. (English) Zbl 07491079 Linear Multilinear Algebra 70, No. 4, 581-605 (2022). MSC: 47A10 × Cite Format Result Cite Review PDF Full Text: DOI
Harlander, U.; Kurgansky, M. V. Two-dimensional internal gravity wave beam instability. Linear theory and subcritical instability. (English) Zbl 1482.76133 Geophys. Astrophys. Fluid Dyn. 115, No. 5-6, 612-647 (2021). MSC: 76U05 76B15 76B55 × Cite Format Result Cite Review PDF Full Text: DOI
Brooks, Cara D.; Condori, Alberto A.; Seguin, Nicholas Polynomially isometric matrices in low dimensions. (English) Zbl 07354530 Am. Math. Mon. 128, No. 6, 513-524 (2021). MSC: 47A10 15A60 15A18 47A56 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chtourou, Ines; Krichen, Bilel Relative \(\varepsilon\)-pseudo weak demicompactness and measures of weak noncompactness. (English) Zbl 1507.47045 Ann. Funct. Anal. 12, No. 1, Paper No. 14, 21 p. (2021). MSC: 47B01 47A53 47A10 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Tianli; Liao, Shijun On the risks of using double precision in numerical simulations of spatio-temporal chaos. (English) Zbl 07506180 J. Comput. Phys. 418, Article ID 109629, 25 p. (2020). MSC: 65-XX 37-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kern, Michel; Taakili, Abdelaziz; Zarrouk, Mohamed M. Preconditioned iterative method for reactive transport with sorption in porous media. (English) Zbl 1524.65557 Math. Model. Anal. 25, No. 4, 546-568 (2020). MSC: 65M60 35K10 35K65 65F08 65M08 65M22 76S05 76V05 × Cite Format Result Cite Review PDF Full Text: DOI
Ammar, Aymen; Daoud, Houcem; Jeribi, Aref \(\mathcal{S}\)-pseudospectra and \(\mathcal{S}\)-essential pseudospectra. (English) Zbl 1474.47006 Mat. Vesn. 72, No. 2, 95-105 (2020). MSC: 47A06 × Cite Format Result Cite Review PDF Full Text: Link Link
Ammar, Aymen; Jeribi, Aref; Mahfoudhi, Kamel Some description of essential structured approximate and defect pseudospectrum. (English) Zbl 1514.47005 Korean J. Math. 28, No. 4, 673-697 (2020). MSC: 47A10 47B01 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ammar, Aymen; Bouchekoua, Ameni; Jeribi, Aref Pseudospectra in a non-Archimedean Banach space and essential pseudospectra in \(\mathbb{E}_\omega\). (English) Zbl 1513.47012 Filomat 33, No. 12, 3961-3976 (2019). MSC: 47A10 47S10 × Cite Format Result Cite Review PDF Full Text: DOI
Brahim, Fatma Ben; Jeribi, Aref; Krichen, Bilel Essential pseudospectra involving demicompact and pseudodemicompact operators and some perturbation results. (English) Zbl 1496.47024 Filomat 33, No. 8, 2519-2528 (2019). MSC: 47A53 47A55 47A10 × Cite Format Result Cite Review PDF Full Text: DOI
Ammar, A.; Jeribi, A.; Saadaoui, B. On some classes of demicompact linear relation and some results of essential pseudospectra. (English) Zbl 1501.47004 Mat. Stud. 52, No. 2, 195-210 (2019). Reviewer: Dana Simona Bereanu (Bucureşti) MSC: 47A06 47A55 47A08 × Cite Format Result Cite Review PDF Full Text: DOI
Basak, Anirban; Paquette, Elliot; Zeitouni, Ofer Regularization of non-normal matrices by Gaussian noise – the banded Toeplitz and twisted Toeplitz cases. (English) Zbl 1480.60007 Forum Math. Sigma 7, Paper No. e3, 72 p. (2019). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 60B20 15B05 15B52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ammar, Aymen; Jeribi, Aref; Mahfoudhi, Kamel The essential approximate pseudospectrum and related results. (English) Zbl 1485.47006 Filomat 32, No. 6, 2139-2151 (2018). MSC: 47A10 47B01 47A55 × Cite Format Result Cite Review PDF Full Text: DOI
Rapaka, Narsimha Reddy; Samtaney, Ravi Non-normal stability of embedded boundary methods through pseudospectra. (English) Zbl 1416.76225 J. Comput. Phys. 373, 975-999 (2018). MSC: 76M25 65L06 65M06 × Cite Format Result Cite Review PDF Full Text: DOI Link
Lin, Yu; Chen, Yaming; Xu, Chuanfu; Deng, Xiaogang Optimization of a global seventh-order dissipative compact finite-difference scheme by a genetic algorithm. (English) Zbl 1404.76181 AMM, Appl. Math. Mech., Engl. Ed. 39, No. 11, 1679-1690 (2018). MSC: 76M20 × Cite Format Result Cite Review PDF Full Text: DOI
Athmouni, Nassim; Baloudi, Hatem; Jeribi, Aref; Kacem, Ghazi On weighted and pseudo-weighted spectra of bounded operators. (English) Zbl 06945576 Commun. Korean Math. Soc. 33, No. 3, 809-821 (2018). MSC: 47A53 47A55 82D75 × Cite Format Result Cite Review PDF Full Text: Link
Nossek, Raz Z.; Gilboa, Guy Flows generating nonlinear eigenfunctions. (English) Zbl 1402.65025 J. Sci. Comput. 75, No. 2, 859-888 (2018). MSC: 65F15 35P30 49R05 68U10 47J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ammar, Aymen; Jeribi, Aref The essential pseudo-spectra of a sequence of linear operators. (English) Zbl 1435.47021 Complex Anal. Oper. Theory 12, No. 3, 835-848 (2018). Reviewer: David Kapanadze (Tbilisi) MSC: 47A53 47A10 47B01 47A08 47A58 × Cite Format Result Cite Review PDF Full Text: DOI
Ammar, Aymen; Jeribi, Aref; Mahfoudhi, Kamel A characterization of the essential approximation pseudospectrum on a Banach space. (English) Zbl 1483.47010 Filomat 31, No. 11, 3599-3610 (2017). MSC: 47A10 47B01 × Cite Format Result Cite Review PDF Full Text: DOI
Brynjell-Rahkola, Mattias; Shahriari, Nima; Schlatter, Philipp; Hanifi, Ardeshir; Henningson, Dan S. Stability and sensitivity of a cross-flow-dominated Falkner-Skan-Cooke boundary layer with discrete surface roughness. (English) Zbl 1430.76214 J. Fluid Mech. 826, 830-850 (2017). MSC: 76F06 76E15 76E05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Brehm, C. On consistent boundary closures for compact finite-difference WENO schemes. (English) Zbl 1375.76107 J. Comput. Phys. 334, 573-581 (2017). MSC: 76M20 × Cite Format Result Cite Review PDF Full Text: DOI
Che, Maolin; Li, Guoyin; Qi, Liqun; Wei, Yimin Pseudo-spectra theory of tensors and tensor polynomial eigenvalue problems. (English) Zbl 1371.15010 Linear Algebra Appl. 533, 536-572 (2017). MSC: 15A18 15A69 65F15 65F10 × Cite Format Result Cite Review PDF Full Text: DOI
Ammar, Aymen; Daoud, Houcem; Jeribi, Aref The stability of pseudospectra and essential pseudospectra of linear relations. (English) Zbl 06768755 J. Pseudo-Differ. Oper. Appl. 7, No. 4, 473-491 (2016). MSC: 47A06 × Cite Format Result Cite Review PDF Full Text: DOI
Malinga, G. A.; Niedzwecki, J. M. Modeling lightning strike behavior in the near field of elevated systems. (English) Zbl 1358.86004 J. Eng. Math. 97, 195-221 (2016). MSC: 86A25 × Cite Format Result Cite Review PDF Full Text: DOI
Kestyn, James; Polizzi, Eric; Tang, Ping Tak Peter Feast eigensolver for non-Hermitian problems. (English) Zbl 1352.65119 SIAM J. Sci. Comput. 38, No. 5, S772-S799 (2016). MSC: 65F15 65Y05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abdmouleh, Faiçal; Ammar, Aymen; Jeribi, Aref A characterization of the pseudo-Browder essential spectra of linear operators and application to a transport equation. (English) Zbl 07499228 J. Comput. Theor. Transp. 44, No. 3, 141-153 (2015). MSC: 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
Ammar, Aymen; Daoud, Houcem; Jeribi, Aref Pseudospectra and essential pseudospectra of multivalued linear relations. (English) Zbl 1357.47006 Mediterr. J. Math. 12, No. 4, 1377-1395 (2015). Reviewer: Matheus Cheque Bortolan (Lima) MSC: 47A06 47A13 47A53 × Cite Format Result Cite Review PDF Full Text: DOI
D’Amore, Luisa Remarks on numerical algorithms for computing the inverse Laplace transform. (English) Zbl 1302.65145 Ric. Mat. 63, No. 2, 239-252 (2014). MSC: 65J20 65R30 65R32 × Cite Format Result Cite Review PDF Full Text: DOI
Ammar, Aymen; Jeribi, Aref Measures of noncompactness and essential pseudospectra on Banach space. (English) Zbl 1321.47084 Math. Methods Appl. Sci. 37, No. 3, 447-452 (2014). Reviewer: Józef Banaś (Rzeszów) MSC: 47B40 47A10 × Cite Format Result Cite Review PDF Full Text: DOI
Astudillo, R.; Castillo, Z. Approximating the weighted pseudospectra of large matrices. (English) Zbl 1286.65046 Math. Comput. Modelling 57, No. 9-10, 2169-2176 (2013). MSC: 65F15 × Cite Format Result Cite Review PDF Full Text: DOI
Astudillo, R.; Castillo, Z. Computing pseudospectra using block implicitly restarted Arnoldi iteration. (English) Zbl 1286.65045 Math. Comput. Modelling 57, No. 9-10, 2149-2157 (2013). MSC: 65F15 × Cite Format Result Cite Review PDF Full Text: DOI
Güttel, Stefan; Knizhnerman, Leonid A black-box rational Arnoldi variant for Cauchy-Stieltjes matrix functions. (English) Zbl 1276.65026 BIT 53, No. 3, 595-616 (2013). MSC: 65F60 65F30 15A16 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ammar, Aymen; Jeribi, Aref A characterization of the essential pseudospectra on a Banach space. (English) Zbl 1296.47004 Arab. J. Math. 2, No. 2, 139-145 (2013). Reviewer: Mohamed Zohry (Tétouan) MSC: 47A10 × Cite Format Result Cite Review PDF Full Text: DOI
Guebbai, Hamza; Largillier, Alain Spectra and pseudospectra of convection-diffusion operator. (English) Zbl 1258.35151 Lobachevskii J. Math. 33, No. 3, 274-283 (2012). MSC: 35P05 35B35 × Cite Format Result Cite Review PDF Full Text: DOI
Saïdi, Abdelkader; Dušek, Jan; David, Romaric Receptivity of a spatially developing jet to stochastic perturbations. (English) Zbl 1308.76153 Phys. Fluids 23, No. 2, Paper No. 024105, 14 p. (2011). MSC: 76F65 76D25 76D05 37N10 93D05 76M45 × Cite Format Result Cite Review PDF Full Text: DOI
Tiwari, Naveen; Davis, Jeffrey M. Nonmodal and nonlinear dynamics of a volatile liquid film flowing over a locally heated surface. (English) Zbl 1183.76523 Phys. Fluids 21, No. 10, Paper No. 102101, 14 p. (2009). MSC: 76-XX × Cite Format Result Cite Review PDF Full Text: DOI Link
Li, Ren-Cang; Zhang, Wei The rate of convergence of GMRES on a tridiagonal Toeplitz linear system. (English) Zbl 1162.65016 Numer. Math. 112, No. 2, 267-293 (2009). MSC: 65F10 65F50 65F35 × Cite Format Result Cite Review PDF Full Text: DOI
Kurzin, V. B. Determining dynamic characteristics of mechanical systems by the method of constructing one-dimensional spectral portraits of matrices. (English. Russian original) Zbl 1271.74164 J. Appl. Mech. Tech. Phys. 49, No. 1, 84-92 (2008); translation from Prikl. Mekh. Tekh. Fiz. 49, No. 1, 104-113 (2008). MSC: 74H45 15A18 × Cite Format Result Cite Review PDF Full Text: DOI
Verdy, Ariane; Caswell, Hal Sensitivity analysis of reactive ecological dynamics. (English) Zbl 1166.92040 Bull. Math. Biol. 70, No. 6, 1634-1659 (2008). MSC: 92D40 37N25 15A99 × Cite Format Result Cite Review PDF Full Text: DOI Link
Kim, Lina; Moehlis, Jeff Transient growth for streak-streamwise vortex interactions. (English) Zbl 1142.76384 Phys. Lett., A 358, No. 5-6, 431-437 (2006). MSC: 76E99 × Cite Format Result Cite Review PDF Full Text: DOI
Hager, Mildred Semiclassical spectral instability for non-self-adjoint operators. I: A model. (Instabilité spectrale semiclassique pour des opérateurs non-autoadjoints. I: Une modèle.) (French) Zbl 1114.81042 Ann. Fac. Sci. Toulouse, Math. (6) 15, No. 2, 243-280 (2006). MSC: 81Q20 35P20 47B25 81Q10 35R60 47G30 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Hodgson, Dave; Townley, Stuart; McCarthy, Dominic Robustness: Predicting the effects of life history perturbations on stage-structured population dynamics. (English) Zbl 1101.92049 Theor. Popul. Biol. 70, No. 2, 214-224 (2006). MSC: 92D40 93A30 15A99 15A18 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Kui; Wei, Yimin Structured pseudospectra and structured sensitivity of eigenvalues. (English) Zbl 1104.15011 J. Comput. Appl. Math. 197, No. 2, 502-519 (2006). Reviewer: C. M. da Fonseca (Coimbra) MSC: 15A18 15A60 65F15 × Cite Format Result Cite Review PDF Full Text: DOI
Graillat, Stef A note on structured pseudospectra. (English) Zbl 1097.15010 J. Comput. Appl. Math. 191, No. 1, 68-76 (2006). Reviewer: Marjeta Kramar Fijavž (Ljubljana) MSC: 15A18 15A54 15B57 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Kui A note on properties and computations of matrix pseudospectra. (English) Zbl 1094.65026 Appl. Math. Comput. 174, No. 2, 1007-1019 (2006). Reviewer: Constantin Popa (Constanţa) MSC: 65F15 × Cite Format Result Cite Review PDF Full Text: DOI
Rump, Siegfried M. Eigenvalues, pseudospectrum and structured perturbations. (English) Zbl 1093.15020 Linear Algebra Appl. 413, No. 2-3, 567-593 (2006). Reviewer: Ching-Hua Chang (Hualien) MSC: 15A42 65F15 15B57 15A12 × Cite Format Result Cite Review PDF Full Text: DOI
Noschese, S.; Pasquini, L. Eigenvalue condition numbers: zero-structured versus traditional. (English) Zbl 1086.65042 J. Comput. Appl. Math. 185, No. 1, 174-189 (2006). Reviewer: George A. Gravvanis (Xanthi) MSC: 65F35 65F15 65F30 65F50 × Cite Format Result Cite Review PDF Full Text: DOI
Jewitt, Giles; McCrorie, J. Roderick Computing estimates of continuous time macroeconometric models on the basis of discrete data. (English) Zbl 1429.62672 Comput. Stat. Data Anal. 49, No. 2, 397-416 (2005). MSC: 62P20 60-08 65F60 × Cite Format Result Cite Review PDF Full Text: DOI
Reuter, Jörg; Rempfer, Dietmar Analysis of pipe flow transition. II: Energy transfer. (English) Zbl 1112.76357 Theor. Comput. Fluid Dyn. 19, No. 1, 39-64 (2005). MSC: 76F06 76F35 76F25 76F65 × Cite Format Result Cite Review PDF Full Text: DOI
Alam, R.; Bora, S. On sensitivity of eigenvalues and eigendecompositions of matrices. (English) Zbl 1084.15017 Linear Algebra Appl. 396, 273-301 (2005). Reviewer: Ludwig Elsner (Bielefeld) MSC: 15A42 65F15 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Yuming; Zhao, Jinxi; Fan, Hongjun Properties and computations of matrix pseudospectra. (English) Zbl 1076.65037 Appl. Math. Comput. 161, No. 2, 385-393 (2005). Reviewer: Alan L. Andrew (Bundoora) MSC: 65F15 15A12 × Cite Format Result Cite Review PDF Full Text: DOI
Reguera, N. Analysis of a third-order absorbing boundary condition for the Schrödinger equation discretized in space. (English) Zbl 1067.65097 Appl. Math. Lett. 17, No. 2, 181-188 (2004). Reviewer: Angela Handlovičová (Bratislava) MSC: 65M20 65M06 35Q40 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Malyshev, A. N.; Sadkane, M. Componentwise pseudospectrum of a matrix. (English) Zbl 1050.15009 Linear Algebra Appl. 378, 283-288 (2004). Reviewer: Ralf Gramlich (Darmstadt) MSC: 15A18 × Cite Format Result Cite Review PDF Full Text: DOI
Alam, R.; Bora, S. Effect of linear perturbation on spectra of matrices. (English) Zbl 1030.15018 Linear Algebra Appl. 368, 329-342 (2003). Reviewer: F.Uhlig (Auburn) MSC: 15A42 65F15 × Cite Format Result Cite Review PDF Full Text: DOI
Alam, R.; Bora, S. Stability of eigenvalues and spectral decompositions under linear perturbation. (English) Zbl 1021.15012 Linear Algebra Appl. 364, 189-211 (2003). Reviewer: Mihail Voicu (Iaşi) MSC: 15A42 × Cite Format Result Cite Review PDF Full Text: DOI
Grammont, Laurence; Largillier, Alain On \(\varepsilon\)-spectra and stability radii. (English) Zbl 1016.65014 J. Comput. Appl. Math. 147, No. 2, 453-469 (2002). Reviewer: Miloslav Znojil (Řež) MSC: 65F15 × Cite Format Result Cite Review PDF Full Text: DOI
González de Durana, José María; Gracia, Juan-Miguel Geometric multiplicity margin for a submatrix. (English) Zbl 1003.15010 Linear Algebra Appl. 349, No. 1-3, 77-104 (2002). Reviewer: J.D.Dixon (Ottawa) MSC: 15A21 15A60 15A45 × Cite Format Result Cite Review PDF Full Text: DOI
Greenbaum, Anne Generalizations of the field of values useful in the study of polynomial functions of a matrix. (English) Zbl 1004.15027 Linear Algebra Appl. 347, No. 1-3, 233-249 (2002). Reviewer: Václav Burjan (Praha) MSC: 15A60 15A54 65F10 × Cite Format Result Cite Review PDF Full Text: DOI
Neubert, Michael G.; Caswell, Hal; Murray, J. D. Transient dynamics and pattern formation: Reactivity is necessary for Turing instabilities. (English) Zbl 0988.92002 Math. Biosci. 175, No. 1, 1-11 (2002). MSC: 92C15 35K57 × Cite Format Result Cite Review PDF Full Text: DOI
Wolff, M. P. H. Discrete approximation of unbounded operators and approximation of their spectra. (English) Zbl 1010.47005 J. Approximation Theory 113, No. 2, 229-244 (2001). MSC: 47A10 41A35 47A58 × Cite Format Result Cite Review PDF Full Text: DOI
Baltensperger, Richard; Berrut, Jean-Paul The linear rational collocation method. (English) Zbl 0987.65102 J. Comput. Appl. Math. 134, No. 1-2, 243-258 (2001). Reviewer: Dana Petcu (Timişoara) MSC: 65M70 35L45 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Moret, I.; Novati, P. An interpolatory approximation of the matrix exponential based on Faber polynomials. (English) Zbl 0983.65057 J. Comput. Appl. Math. 131, No. 1-2, 361-380 (2001). Reviewer: F.Szidarovszky (Tucson) MSC: 65F30 65L05 34A30 × Cite Format Result Cite Review PDF Full Text: DOI
Golub, Gene H.; van der Vorst, Henk A. Eigenvalue computation in the 20th century. (English) Zbl 0965.65057 J. Comput. Appl. Math. 123, No. 1-2, 35-65 (2000). Reviewer: F.Szidarovszky (Tucson) MSC: 65F15 01A60 65-03 × Cite Format Result Cite Review PDF Full Text: DOI Link
Braconnier, T.; Langlois, P.; Rioual, J. C. The influence of orthogonality on the Arnoldi method. (English) Zbl 0948.65034 Linear Algebra Appl. 309, No. 1-3, 307-323 (2000). Reviewer: R.P.Tewarson (Stony Brook) MSC: 65F15 65F25 × Cite Format Result Cite Review PDF Full Text: DOI
Chaitin-Chatelin, F.; Toumazou, V.; Traviesas, E. Accuracy assessment for eigencomputations: Variety of backward errors and pseudospectra. (English) Zbl 0955.65026 Linear Algebra Appl. 309, No. 1-3, 73-83 (2000). Reviewer: Michael Jung (Dresden) MSC: 65F15 × Cite Format Result Cite Review PDF Full Text: DOI
Jackiewicz, Z.; Owren, B.; Welfert, B. Pseudospectra of wave from relaxation operators. (English) Zbl 0932.65080 Comput. Math. Appl. 36, No. 8, 67-85 (1998). MSC: 65L05 34A30 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Godunov, S. K.; Sadkane, M. Computation of pseudospectra via spectral projectors. (English) Zbl 0935.65035 Linear Algebra Appl. 279, No. 1-3, 163-175 (1998). MSC: 65F15 × Cite Format Result Cite Review PDF Full Text: DOI
Harrabi, A. Pseudospectrum of a sequence of bounded operators. (Pseudospectre d’une suite d’opérateurs bornés.) (French) Zbl 0932.47001 RAIRO, Modélisation Math. Anal. Numér. 32, No. 6, 671-680 (1998). Reviewer: W.D.Evans (Cardiff) MSC: 47A10 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Fyodorov, Yan V.; Sommers, Hans-Jürgen; Khoruzhenko, Boris A. Universality in the random matrix spectra in the regime of weak non-Hermiticity. (English) Zbl 0907.15017 Ann. Inst. Henri Poincaré, Phys. Théor. 68, No. 4, 449-489 (1998). Reviewer: A.Khorunzhy (Khar’kov) MSC: 15B52 15A18 × Cite Format Result Cite Review PDF Full Text: arXiv Numdam EuDML
Gallestey, E. Computing spectral value sets using the subharmonicity of the norm of rational matrices. (English) Zbl 0907.65039 BIT 38, No. 1, 22-33 (1998). Reviewer: F.Uhlig (Auburn) MSC: 65F15 × Cite Format Result Cite Review PDF Full Text: DOI
Hochbruck, Marlis; Lubich, Christian Error analysis of Krylov methods in a nutshell. (English) Zbl 0914.65024 SIAM J. Sci. Comput. 19, No. 2, 695-701 (1998). Reviewer: Liu Xinguo (Qingdao) MSC: 65F10 × Cite Format Result Cite Review PDF Full Text: DOI
Lavallée, P.-F.; Sadkane, M. Pseudospectra of linear matrix pencils by block diagonalization. (English) Zbl 0892.65026 Computing 60, No. 2, 133-156 (1998). Reviewer: P.Narain (Bombay) MSC: 65F15 65F30 15A22 × Cite Format Result Cite Review PDF Full Text: DOI
Lumsdaine, Andrew; Wu, Deyun Spectra and pseudospectra of block Toeplitz matrices. (English) Zbl 0951.15010 Linear Algebra Appl. 272, 103-130 (1998). MSC: 15A18 15B57 65F15 65F50 × Cite Format Result Cite Review PDF Full Text: DOI
Renaut, Rosemary Stability of a Chebychev pseudospectral solution of the wave equation with absorbing boundaries. (English) Zbl 0898.65058 J. Comput. Appl. Math. 87, No. 2, 243-259 (1997). Reviewer: V.V.Strygin (Voronezh) MSC: 65M70 35L05 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
van Dorsselaer, Jos L. M. Pseudospectra for matrix pencils and stability of equilibria. (English) Zbl 0894.65022 BIT 37, No. 4, 833-845 (1997). Reviewer: V.Burjan (Praha) MSC: 65H17 35Q53 65M20 65M06 65M60 15A21 65F15 65L07 × Cite Format Result Cite Review PDF Full Text: DOI
Cullum, Jane Arnoldi versus nonsymmetric Lanczos algorithms for solving matrix eigenvalue problems. (English) Zbl 0861.65032 BIT 36, No. 3, 470-493 (1996). Reviewer: H.Matthies (Braunschweig) MSC: 65F15 × Cite Format Result Cite Review PDF Full Text: DOI
Brühl, Martin A curve tracing algorithm for computing the pseudospectrum. (English) Zbl 0861.65034 BIT 36, No. 3, 441-454 (1996). Reviewer: A.Galántai (Miskolc-Egyetemvaros) MSC: 65F15 65H20 × Cite Format Result Cite Review PDF Full Text: DOI
Driscoll, Tobin A.; Trefethen, Lloyd N. Pseudospectra for the wave equation with an absorbing boundary. (English) Zbl 0854.35060 J. Comput. Appl. Math. 69, No. 1, 125-142 (1996). MSC: 35L05 35P05 47A10 47D06 × Cite Format Result Cite Review PDF Full Text: DOI
Mazzia, F.; Trigiante, D. The role of difference equations in numerical analysis. (English) Zbl 0811.65060 Comput. Math. Appl. 28, No. 1-3, 209-217 (1994). Reviewer: P.Plecháč (Edinburgh) MSC: 65L12 65L20 65L05 65L10 34A34 34E15 34B05 × Cite Format Result Cite Review PDF Full Text: DOI
Higham, Nicholas J.; Knight, Philip A. Finite precision behavior of stationary iteration for solving singular systems. (English) Zbl 0787.65021 Linear Algebra Appl. 192, 165-186 (1993). Reviewer: Q.Duan (Lafayette) MSC: 65F10 × Cite Format Result Cite Review PDF Full Text: DOI
Higham, Desmond J.; Trefethen, Lloyd N. Stiffness of ODEs. (English) Zbl 0782.65091 BIT 33, No. 2, 285-303 (1993). Reviewer: E.Hairer (Genève) MSC: 65L06 65L05 65L20 34A34 34E13 × Cite Format Result Cite Review PDF Full Text: DOI
Hinrichsen, Diederich; Kelb, B. Spectral value sets: A graphical tool for robustness analysis. (English) Zbl 0785.93030 Syst. Control Lett. 21, No. 2, 127-136 (1993). MSC: 93B35 × Cite Format Result Cite Review PDF Full Text: DOI
Eiermann, Michael Fields of values and iterative methods. (English) Zbl 0784.65022 Linear Algebra Appl. 180, 167-197 (1993). Reviewer: Z.Dostal (Ostrava) MSC: 65F10 65F35 15A60 × Cite Format Result Cite Review PDF Full Text: DOI
Freund, Roland W. Quasi-kernel polynomials and their use in non-Hermitian matrix iterations. (English) Zbl 0760.65029 J. Comput. Appl. Math. 43, No. 1-2, 135-158 (1992). Reviewer: F.Szidarovszky (Tucson) MSC: 65F10 65D20 30C40 × Cite Format Result Cite Review PDF Full Text: DOI
Reddy, Satish C.; Trefethen, Lloyd N. Stability of the method of lines. (English) Zbl 0734.65077 Numer. Math. 62, No. 2, 235-268 (1992). Reviewer: S.C.Reddy (Cambridge/Mass.) MSC: 65M20 65M12 65L06 65L20 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Reichel, Lothar; Trefethen, Lloyd N. Eigenvalues and pseudo-eigenvalues of Toeplitz matrices. (English) Zbl 0748.15010 Linear Algebra Appl. 162-164, 153-185 (1992). Reviewer: A.L.Andrew (Bundoora) MSC: 15A18 15B57 15A42 × Cite Format Result Cite Review PDF Full Text: DOI
Weidemann, J. A. C. The eigenvalues of Hermite and rational spectral differentiation matrices. (English) Zbl 0741.65078 Numer. Math. 61, No. 3, 409-432 (1992). MSC: 65M70 15A18 65N25 65D25 65F15 42C10 × Cite Format Result Cite Review PDF Full Text: DOI EuDML