Adriani, Andrea; Bianchi, Davide; Ferrari, Paola; Serra-Capizzano, Stefano Asymptotic spectra of large (grid) graphs with a uniform local structure. II: Numerical applications. (English) Zbl 1522.05174 J. Comput. Appl. Math. 437, Article ID 115461, 20 p. (2024). MSC: 05C22 05C50 15A18 65J10 65M55 65N22 PDFBibTeX XMLCite \textit{A. Adriani} et al., J. Comput. Appl. Math. 437, Article ID 115461, 20 p. (2024; Zbl 1522.05174) Full Text: DOI arXiv
Bolten, Matthias; Ekström, Sven-Erik; Furci, Isabella; Serra-Capizzano, Stefano A note on the spectral analysis of matrix sequences via GLT momentary symbols: from all-at-once solution of parabolic problems to distributed fractional order matrices. (English) Zbl 1516.15005 ETNA, Electron. Trans. Numer. Anal. 58, 136-163 (2023). MSC: 15A18 15B05 34L20 65N22 35R11 PDFBibTeX XMLCite \textit{M. Bolten} et al., ETNA, Electron. Trans. Numer. Anal. 58, 136--163 (2023; Zbl 1516.15005) Full Text: DOI arXiv Link
Ma, Wen-Xiu Type \(( - \lambda, - \lambda^\ast)\) reduced nonlocal integrable mKdV equations and their soliton solutions. (English) Zbl 1492.35276 Appl. Math. Lett. 131, Article ID 108074, 7 p. (2022). MSC: 35Q53 35Q15 37K10 37K40 35C08 15A18 PDFBibTeX XMLCite \textit{W.-X. Ma}, Appl. Math. Lett. 131, Article ID 108074, 7 p. (2022; Zbl 1492.35276) Full Text: DOI
Mazza, Mariarosa; Serra-Capizzano, Stefano; Usman, Muhammad Symbol-based preconditioning for Riesz distributed-order space-fractional diffusion equations. (English) Zbl 1501.65042 ETNA, Electron. Trans. Numer. Anal. 54, 499-513 (2021). MSC: 65M06 65N06 65M50 26A33 35R11 15B05 15A18 65F08 65F10 65F35 35B40 PDFBibTeX XMLCite \textit{M. Mazza} et al., ETNA, Electron. Trans. Numer. Anal. 54, 499--513 (2021; Zbl 1501.65042) Full Text: DOI Link
Ferber, Asaf; Luh, Kyle; Mckinley, Gweneth Resilience of the rank of random matrices. (English) Zbl 1467.15031 Comb. Probab. Comput. 30, No. 2, 163-174 (2020). MSC: 15B52 60B20 15B36 PDFBibTeX XMLCite \textit{A. Ferber} et al., Comb. Probab. Comput. 30, No. 2, 163--174 (2020; Zbl 1467.15031) Full Text: DOI arXiv
Chatterjee, Sourav A deterministic theory of low rank matrix completion. (English) Zbl 1457.15027 IEEE Trans. Inf. Theory 66, No. 12, 8046-8055 (2020). MSC: 15A83 05C82 PDFBibTeX XMLCite \textit{S. Chatterjee}, IEEE Trans. Inf. Theory 66, No. 12, 8046--8055 (2020; Zbl 1457.15027) Full Text: DOI arXiv
Dai, Dan; Xu, Shuai-Xia; Zhang, Lun Gaussian unitary ensembles with pole singularities near the soft edge and a system of coupled Painlevé XXXIV equations. (English) Zbl 1467.37057 Ann. Henri Poincaré 20, No. 10, 3313-3364 (2019). Reviewer: Yousuke Ohyama (Tokushima) MSC: 37J65 33E17 34M55 34M50 41A60 60B20 15B52 PDFBibTeX XMLCite \textit{D. Dai} et al., Ann. Henri Poincaré 20, No. 10, 3313--3364 (2019; Zbl 1467.37057) Full Text: DOI arXiv
Li, Jiaojiao; Ma, Li Global solutions and ground states of a nonlinear Schrödinger equation in matrix geometry. (English) Zbl 1420.58003 Linear Algebra Appl. 573, 1-11 (2019). Reviewer: Albert Sheu (Lawrence) MSC: 58B34 34D05 34L40 35Q55 15A15 PDFBibTeX XMLCite \textit{J. Li} and \textit{L. Ma}, Linear Algebra Appl. 573, 1--11 (2019; Zbl 1420.58003) Full Text: DOI
Zeng, Xianlin; Cao, Kai Computation of linear algebraic equations with solvability verification over multi-agent networks. (English) Zbl 1463.65033 Kybernetika 53, No. 5, 803-819 (2017). MSC: 65F05 15A06 93D20 93A16 PDFBibTeX XMLCite \textit{X. Zeng} and \textit{K. Cao}, Kybernetika 53, No. 5, 803--819 (2017; Zbl 1463.65033) Full Text: DOI Link
Glizer, Valery Y.; Kelis, Oleg Singular infinite horizon zero-sum linear-quadratic differential game: saddle-point equilibrium sequence. (English) Zbl 1357.49138 Numer. Algebra Control Optim. 7, No. 1, 1-20 (2017). MSC: 49N70 91A05 91A10 91A23 15A24 93C73 PDFBibTeX XMLCite \textit{V. Y. Glizer} and \textit{O. Kelis}, Numer. Algebra Control Optim. 7, No. 1, 1--20 (2017; Zbl 1357.49138) Full Text: DOI
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
Guo, Chun-Hua; Yu, Bo A convergence result for matrix Riccati differential equations associated with \(m\)-matrices. (English) Zbl 1357.34034 Taiwanese J. Math. 19, No. 1, 77-89 (2015). MSC: 34A45 15B48 93C05 34D05 PDFBibTeX XMLCite \textit{C.-H. Guo} and \textit{B. Yu}, Taiwanese J. Math. 19, No. 1, 77--89 (2015; Zbl 1357.34034) Full Text: DOI
Šimon Hilscher, R. Asymptotic properties of solutions of Riccati matrix equations and inequalities for discrete symplectic systems. (English) Zbl 1349.39021 Electron. J. Qual. Theory Differ. Equ. 2015, Paper No. 54, 16 p. (2015). MSC: 39A21 39A22 15A24 15A45 PDFBibTeX XMLCite \textit{R. Šimon Hilscher}, Electron. J. Qual. Theory Differ. Equ. 2015, Paper No. 54, 16 p. (2015; Zbl 1349.39021) Full Text: DOI
Shin, Jong Son; Naito, Toshiki Representations of solutions, translation formulae and asymptotic behavior in discrete linear systems and periodic continuous linear systems. (English) Zbl 1287.93051 Hiroshima Math. J. 44, No. 1, 75-126 (2014). MSC: 93C55 93C05 39A10 39A23 34A30 34C11 34C25 15A15 15A18 34C27 45M15 PDFBibTeX XMLCite \textit{J. S. Shin} and \textit{T. Naito}, Hiroshima Math. J. 44, No. 1, 75--126 (2014; Zbl 1287.93051) Full Text: Euclid
Zagaris, Antonios; Vandekerckhove, Christophe; Gear, C. William; Kaper, Tasso J.; Kevrekidis, Ioannis G. Stability and stabilization of the constrained runs schemes for equation-free projection to a slow manifold. (English) Zbl 1245.65102 Discrete Contin. Dyn. Syst. 32, No. 8, 2759-2803 (2012). MSC: 65L11 65L20 15A22 34E05 37M99 92C45 PDFBibTeX XMLCite \textit{A. Zagaris} et al., Discrete Contin. Dyn. Syst. 32, No. 8, 2759--2803 (2012; Zbl 1245.65102) Full Text: DOI
Martin, R. J.; Kearney, M. J. An exactly solvable self-convolutive recurrence. (English) Zbl 1226.05029 Aequationes Math. 80, No. 3, 291-318 (2010). MSC: 05A15 11B37 15B52 30E15 33C15 35Q15 39B42 44A60 81T18 PDFBibTeX XMLCite \textit{R. J. Martin} and \textit{M. J. Kearney}, Aequationes Math. 80, No. 3, 291--318 (2010; Zbl 1226.05029) Full Text: DOI arXiv Link
Rhee, Noah H. Note on functional iteration technique for \(M/G/1\) type Markov chains. (English) Zbl 1190.65014 Linear Algebra Appl. 432, No. 4, 1042-1048 (2010). Reviewer: Gong Guanglu (Beijing) MSC: 65C40 15A24 65F10 60J10 60K25 15B51 PDFBibTeX XMLCite \textit{N. H. Rhee}, Linear Algebra Appl. 432, No. 4, 1042--1048 (2010; Zbl 1190.65014) Full Text: DOI
Cánovas, M. J.; López, M. A.; Parra, J.; Toledo, F. J. Error bounds for the inverse feasible set mapping in linear semi-infinite optimization via a sensitivity dual approach. (English) Zbl 1136.90040 Optimization 56, No. 5-6, 547-563 (2007). MSC: 90C34 90C31 15A39 PDFBibTeX XMLCite \textit{M. J. Cánovas} et al., Optimization 56, No. 5--6, 547--563 (2007; Zbl 1136.90040) Full Text: DOI
Figueroa S., Pablo; Pinto, Manuel Asymptotic expansion of the variable eigenvalue associated to second order differential equations. (English) Zbl 1127.34028 Nonlinear Stud. 13, No. 3, 261-272 (2006). Reviewer: Vasile Dragan (Bucureşti) MSC: 34E10 34E05 15A18 34A30 PDFBibTeX XMLCite \textit{P. Figueroa S.} and \textit{M. Pinto}, Nonlinear Stud. 13, No. 3, 261--272 (2006; Zbl 1127.34028)
Hirota, Ryogo Nagai, Atsushi (ed.); Nimmo, Jon (ed.); Gilson, Claire (ed.) The direct method in soliton theory. Translated from the 1992 Japanese original and edited by Atsushi Nagai, Jon Nimmo and Claire Gilson. (English) Zbl 1099.35111 Cambridge Tracts in Mathematics 155. Cambridge: Cambridge University Press (ISBN 0-521-83660-3/hbk; 0-511-20768-9/e-book). xii, 200 p. (2004). Reviewer: Michal Marvan (Opava) MSC: 35Q51 37K10 37K40 35-02 37K35 15A15 PDFBibTeX XMLCite \textit{R. Hirota} et al., The direct method in soliton theory. Translated from the 1992 Japanese original and edited by Atsushi Nagai, Jon Nimmo and Claire Gilson. Cambridge: Cambridge University Press (2004; Zbl 1099.35111)
Duncan, Dugald B.; Dunwell, Rachel M. Metastability in the classical, truncated Becker-Döring equations. (English) Zbl 1016.34055 Proc. Edinb. Math. Soc., II. Ser. 45, No. 3, 701-716 (2002). Reviewer: Igor Andrianov (Köln) MSC: 34D30 65F15 34A30 15A18 82C22 PDFBibTeX XMLCite \textit{D. B. Duncan} and \textit{R. M. Dunwell}, Proc. Edinb. Math. Soc., II. Ser. 45, No. 3, 701--716 (2002; Zbl 1016.34055) Full Text: DOI
Han, W.; Li, Yishen Remarks on the solutions of the Kadomtsev-Petviashvili equation. (English) Zbl 0981.35063 Phys. Lett., A 283, No. 3-4, 185-194 (2001). MSC: 35Q53 15A24 35B40 PDFBibTeX XMLCite \textit{W. Han} and \textit{Y. Li}, Phys. Lett., A 283, No. 3--4, 185--194 (2001; Zbl 0981.35063) Full Text: DOI
Mori, Takehiro; Kokame, Hideki Existence conditions of a common Lyapunov function for a pair of second order systems. (English) Zbl 1026.93013 Mem. Fac. Eng. Des., Kyoto Inst. Technol., Ser. Sci. Technol. 49, 49-55 (2000). Reviewer: Vladimir Răsvan (Craiova) MSC: 93B40 15A39 93D20 PDFBibTeX XMLCite \textit{T. Mori} and \textit{H. Kokame}, Mem. Fac. Eng. Des., Kyoto Inst. Technol., Ser. Sci. Technol. 49, 49--55 (2000; Zbl 1026.93013)
Freiling, G.; Ionescu, V. Nonsymmetric discrete-time difference and algebraic Riccati equations: Some representation formulae and comments. (English) Zbl 0947.39002 Dyn. Syst. Appl. 8, No. 3-4, 421-437 (1999). Reviewer: M.Pituk MSC: 39A10 39A12 39A11 15A24 93C55 PDFBibTeX XMLCite \textit{G. Freiling} and \textit{V. Ionescu}, Dyn. Syst. Appl. 8, No. 3--4, 421--437 (1999; Zbl 0947.39002)
Larin, V. B. Asymptotic expansion of a stabilizing solution of the Riccati algebraic equation. (English. Russian original) Zbl 0966.93095 Dokl. Math. 57, No. 1, 95-97 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 358, No. 5, 591-593 (1998). Reviewer: Constantin Vârsan (Bucureşti) MSC: 93D15 93B40 15A24 PDFBibTeX XMLCite \textit{V. B. Larin}, Dokl. Math. 57, No. 1, 591--593 (1998; Zbl 0966.93095); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 358, No. 5, 591--593 (1998)
Ergün, Rahmiye; Alıev, Fikret A. Decomposition of factorization problem of a polynomial matrix with a very small norm. (English) Zbl 0879.15008 Bull. Tech. Univ. Istanbul 48, No. 3-4, 365-383 (1995). MSC: 15A23 15A54 15A24 PDFBibTeX XMLCite \textit{R. Ergün} and \textit{F. A. Alıev}, Bull. Tech. Univ. Istanbul 48, No. 3--4, 365--383 (1995; Zbl 0879.15008)
Girko, V. L. Consistent \(G_ 8\)-estimators for solutions of systems of linear algebraic equations. I. (English. Russian original) Zbl 0748.62016 Theory Probab. Math. Stat. 42, 13-22 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 42, 14-22 (1990). MSC: 62F12 15B52 15A06 PDFBibTeX XMLCite \textit{V. L. Girko}, Theory Probab. Math. Stat. 42, 13--22 (1990; Zbl 0748.62016); translation from Teor. Veroyatn. Mat. Stat., Kiev 42, 14--22 (1990)
Abrahams, I. D. Scattering of sound by a semi-infinite elastic plate with a soft backing; a matrix Wiener-Hopf problem. (English) Zbl 0621.73030 IMA J. Appl. Math. 37, 227-245 (1986). MSC: 74J20 76Q05 15A23 74F10 35J05 74J15 47B35 PDFBibTeX XMLCite \textit{I. D. Abrahams}, IMA J. Appl. Math. 37, 227--245 (1986; Zbl 0621.73030) Full Text: DOI
Berg, Lothar Lineare Gleichungssysteme mit Bandstruktur und ihr asymptotisches Verhalten. (Lizenzausg.). (German) Zbl 0613.15003 München-Wien: Carl Hanser Verlag. 247 S. (Orig. VEB Deutscher Verlag der Wissenschaften, Berlin) (1986). Reviewer: F.Uhlig MSC: 15A06 15-02 65-02 05B20 05C50 15A12 15A24 15B57 15A09 15A15 15A60 40A15 65Q05 39A10 39A11 65F05 65L20 65F50 65L60 65M12 65M15 65N12 65N22 65N30 PDFBibTeX XML
Lipitakis, Elias A. Approximate root-free factorization techniques for solving elliptic difference equations in three space variables. (English) Zbl 0609.65070 Linear Algebra Appl. 76, 247-269 (1986). Reviewer: J.Gregor MSC: 65N22 65F10 35J25 15A23 PDFBibTeX XMLCite \textit{E. A. Lipitakis}, Linear Algebra Appl. 76, 247--269 (1986; Zbl 0609.65070) Full Text: DOI
Pustyl’nikov, L. D. Toeplitz and Hankel matrices and their applications. (English) Zbl 0571.15012 Russ. Math. Surv. 39, No. 4, 63-98 (1984). MSC: 15B57 47B35 60G25 65F05 PDFBibTeX XMLCite \textit{L. D. Pustyl'nikov}, Russ. Math. Surv. 39, No. 4, 63--98 (1984; Zbl 0571.15012) Full Text: DOI
Pustyl’nikov, L. D. Toeplitz and Hankel matrices and their applications. (Russian) Zbl 0553.15012 Usp. Mat. Nauk 39, No. 4(238), 53-84 (1984). Reviewer: V.Perić MSC: 15B57 47B35 65F05 60G25 PDFBibTeX XMLCite \textit{L. D. Pustyl'nikov}, Usp. Mat. Nauk 39, No. 4(238), 53--84 (1984; Zbl 0553.15012)
Fenyoe, S.; Stolle, H. W. Theorie und Praxis der linearen Integralgleichungen. 2. Lizenzausg. (German) Zbl 0504.45002 Lehrbücher und Monographien aus dem Gebiete der exakten Wissenschaften. Mathematische Reihe, Bd. 75. Basel - Boston - Stuttgart: Birkhäuser Verlag. 376 S. DM 96.00 (1983). MSC: 45-02 45A05 47A10 45B05 47B15 45C05 45P05 15A15 PDFBibTeX XML
Fenyoe, S.; Stolle, H. W. Theorie und Praxis der linearen Integralgleichungen. 2. (German) Zbl 0504.45001 Berlin: VEB Deutscher Verlag der Wissenschaften. 376 S. DDR M 55.00 (1983). MSC: 45-02 45B05 45A05 45C05 45P05 47A10 47B15 15A15 PDFBibTeX XML
Nicholson, David W. Response bounds for asymptotically stable time-invariant linear dynamical systems. (English) Zbl 0488.93037 IEEE Trans. Autom. Control 27, 704-706 (1982). MSC: 93C99 93C05 65H17 93D20 15A18 PDFBibTeX XMLCite \textit{D. W. Nicholson}, IEEE Trans. Autom. Control 27, 704--706 (1982; Zbl 0488.93037) Full Text: DOI
Jonckheere, Edmond On the existence of a negative semidefinite, antistabilizing solution to the discrete-time algebraic Riccati equation. (English) Zbl 0482.93049 IEEE Trans. Autom. Control 26, 707-712 (1981). MSC: 93C55 15A24 93D20 93C05 93B05 15A39 PDFBibTeX XMLCite \textit{E. Jonckheere}, IEEE Trans. Autom. Control 26, 707--712 (1981; Zbl 0482.93049) Full Text: DOI
Gustafsson, Ivar On modified incomplete Cholesky factorization methods for the solution of problems with mixed boundary conditions and problems with discontinuous material coefficients. (English) Zbl 0417.65052 Int. J. Numer. Methods Eng. 14, 1127-1140 (1979). MSC: 65N22 35J25 65F10 65F05 15A23 PDFBibTeX XMLCite \textit{I. Gustafsson}, Int. J. Numer. Methods Eng. 14, 1127--1140 (1979; Zbl 0417.65052) Full Text: DOI
Gingold, H. On continuous triangularization of matrix functions. (English) Zbl 0416.15007 SIAM J. Math. Anal. 10, 709-720 (1979). MSC: 15A21 34C20 15A15 PDFBibTeX XMLCite \textit{H. Gingold}, SIAM J. Math. Anal. 10, 709--720 (1979; Zbl 0416.15007) Full Text: DOI
Neumann, Klaus; Richter, Gerhard Zur Bestimmung der asymptotischen Verteilung des Lösungsvektors zufälliger linearer Gleichungssysteme. (German) Zbl 0435.65036 Serdica 4, 50-60 (1978). MSC: 65F99 65C99 15B52 60F05 PDFBibTeX XMLCite \textit{K. Neumann} and \textit{G. Richter}, Serdica 4, 50--60 (1978; Zbl 0435.65036)