Seeger, Alberto Cone-constrained rational eigenvalue problems. (English) Zbl 1419.15009 Electron. J. Linear Algebra 35, 187-203 (2019). Reviewer: Anton Iliev (Plovdiv) MSC: 15A18 15A22 15A39 65H17 PDF BibTeX XML Cite \textit{A. Seeger}, Electron. J. Linear Algebra 35, 187--203 (2019; Zbl 1419.15009) Full Text: DOI
Aurentz, Jared L.; Mach, Thomas; Robol, Leonardo; Vandebril, Raf; Watkins, David S. Fast and backward stable computation of roots of polynomials. II: Backward error analysis; companion matrix and companion pencil. (English) Zbl 1398.65056 SIAM J. Matrix Anal. Appl. 39, No. 3, 1245-1269 (2018). MSC: 65F15 65H17 15A18 65H04 PDF BibTeX XML Cite \textit{J. L. Aurentz} et al., SIAM J. Matrix Anal. Appl. 39, No. 3, 1245--1269 (2018; Zbl 1398.65056) Full Text: DOI
Pinto da Costa, A.; Seeger, A.; Simões, F. M. F. Complementarity eigenvalue problems for nonlinear matrix pencils. (English) Zbl 1426.90240 Appl. Math. Comput. 312, 134-148 (2017). MSC: 90C33 15A22 65H17 65K15 PDF BibTeX XML Cite \textit{A. Pinto da Costa} et al., Appl. Math. Comput. 312, 134--148 (2017; Zbl 1426.90240) Full Text: DOI
Van Beeumen, Roel; Meerbergen, Karl; Michiels, Wim Compact rational Krylov methods for nonlinear eigenvalue problems. (English) Zbl 1319.65042 SIAM J. Matrix Anal. Appl. 36, No. 2, 820-838 (2015). MSC: 65H17 65F15 15A22 65F25 PDF BibTeX XML Cite \textit{R. Van Beeumen} et al., SIAM J. Matrix Anal. Appl. 36, No. 2, 820--838 (2015; Zbl 1319.65042) Full Text: DOI
Li, Tiexiang; Chu, Delin A structure-preserving algorithm for semi-stabilizing solutions of generalized algebraic Riccati equations. (English) Zbl 1312.65072 ETNA, Electron. Trans. Numer. Anal. 41, 396-419 (2014). MSC: 65F30 65F10 15A24 93C05 93D21 PDF BibTeX XML Cite \textit{T. Li} and \textit{D. Chu}, ETNA, Electron. Trans. Numer. Anal. 41, 396--419 (2014; Zbl 1312.65072) Full Text: EMIS
Bao, Lijuan; Dai, Hua Optimal approximation of centrosymmetric matrix pencil with a submatrix pencil constraint. (Chinese. English summary) Zbl 1289.15018 Chin. J. Eng. Math. 30, No. 2, 205-216 (2013). MSC: 15A18 15A29 65F18 15A22 PDF BibTeX XML Cite \textit{L. Bao} and \textit{H. Dai}, Chin. J. Eng. Math. 30, No. 2, 205--216 (2013; Zbl 1289.15018) Full Text: DOI
Jungers, Marc; Oara, Cristian Continuous-time non-symmetric algebraic Riccati theory: a matrix pencil approach. (English) Zbl 1303.65029 Eur. J. Control 18, No. 1, 74-81 (2012). MSC: 65F30 93C05 15A24 15A22 PDF BibTeX XML Cite \textit{M. Jungers} and \textit{C. Oara}, Eur. J. Control 18, No. 1, 74--81 (2012; Zbl 1303.65029) Full Text: DOI
Li, Jiaofen; Hu, Xiyan A CG-type method for inverse quadratic eigenvalue problems in model updating of structural dynamics. (English) Zbl 1262.15013 Adv. Appl. Math. Mech. 3, No. 1, 65-86 (2011). MSC: 15A24 65F18 65H17 PDF BibTeX XML Cite \textit{J. Li} and \textit{X. Hu}, Adv. Appl. Math. Mech. 3, No. 1, 65--86 (2011; Zbl 1262.15013) Full Text: DOI
Ruhe, Axel Rational Krylov for real pencils with complex eigenvalues. (English) Zbl 1198.65073 Taiwanese J. Math. 14, No. 3A, 795-803 (2010). MSC: 65F15 65F50 93C15 65L15 34L16 PDF BibTeX XML Cite \textit{A. Ruhe}, Taiwanese J. Math. 14, No. 3A, 795--803 (2010; Zbl 1198.65073) Full Text: DOI
Engström, Christian; Richter, Markus On the spectrum of an operator pencil with applications to wave propagation in periodic and frequency dependent materials. (English) Zbl 1191.47059 SIAM J. Appl. Math. 70, No. 1, 231-247 (2009). Reviewer: Petru A. Cojuhari (Kraków) MSC: 47F05 47A56 35P30 15A22 78A25 65H17 PDF BibTeX XML Cite \textit{C. Engström} and \textit{M. Richter}, SIAM J. Appl. Math. 70, No. 1, 231--247 (2009; Zbl 1191.47059) Full Text: DOI
Huang, Tsung-Ming; Lin, Wen-Wei Structured doubling algorithms for weakly stabilizing Hermitian solutions of algebraic Riccati equations. (English) Zbl 1169.65038 Linear Algebra Appl. 430, No. 5-6, 1452-1478 (2009). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 65F30 15A24 PDF BibTeX XML Cite \textit{T.-M. Huang} and \textit{W.-W. Lin}, Linear Algebra Appl. 430, No. 5--6, 1452--1478 (2009; Zbl 1169.65038) Full Text: DOI
Golub, Gene H.; Milanfar, Peyman; Varah, James A stable numerical method for inverting shape from moments. (English) Zbl 0956.65030 SIAM J. Sci. Comput. 21, No. 4, 1222-1243 (1999). Reviewer: Miloslav Znojil (Řež) MSC: 65F15 44A60 65F35 65E05 94A12 86A20 PDF BibTeX XML Cite \textit{G. H. Golub} et al., SIAM J. Sci. Comput. 21, No. 4, 1222--1243 (2000; Zbl 0956.65030) Full Text: DOI
Gu, Xiaoxia A necessary and sufficient condition for the existence of a stabilizing solution to the matrix equation \(x + A^T x^{-1} A = Q\). (Chinese. English summary) Zbl 0953.15021 Numer. Math., Nanjing 21, No. 3, 236-240 (1999). Reviewer: Chen Zhijie (Shanghai) MSC: 15A24 PDF BibTeX XML Cite \textit{X. Gu}, Numer. Math., Nanjing 21, No. 3, 236--240 (1999; Zbl 0953.15021)
Zavizion, G. V. Asymptotic integration of systems of integro-differential equations with degeneracies. (English. Ukrainian original) Zbl 0938.34047 Ukr. Math. J. 51, No. 2, 185-197 (1999); translation from Ukr. Mat. Zh. 51, No. 2, 170-180 (1999). Reviewer: I.O.Parasyuk (Kyïv) MSC: 34E15 45J05 PDF BibTeX XML Cite \textit{G. V. Zavizion}, Ukr. Mat. Zh. 51, No. 2, 170--180 (1999; Zbl 0938.34047); translation from Ukr. Mat. Zh. 51, No. 2, 170--180 (1999) Full Text: DOI
Shkil’, N. I.; Zavizion, G. V. Systems of singularly perturbed degenerate integro-differential equations. (English. Russian original) Zbl 0948.34032 Ukr. Math. J. 51, No. 12, 1917-1928 (1999); translation from Ukr. Mat. Zh. 51, No. 12, 1694-1703 (1999). Reviewer: I.O.Parasyuk (Kyïv) MSC: 34E15 45J05 PDF BibTeX XML Cite \textit{N. I. Shkil'} and \textit{G. V. Zavizion}, Ukr. Mat. Zh. 51, No. 12, 1694--1703 (1999; Zbl 0948.34032); translation from Ukr. Mat. Zh. 51, No. 12, 1694--1703 (1999) Full Text: DOI
Iwata, Satoru Computing the maximum degree of minors in matrix pencils via combinatorial relaxation. (English) Zbl 0931.65044 Proceedings of the 10th annual ACM-SIAM symposium on discrete algorithms. Baltimore, MD, USA, January 17–19, 1999. Philadelphia, PA: SIAM. 476-483 (1999). MSC: 65F30 PDF BibTeX XML Cite \textit{S. Iwata}, in: Proceedings of the 10th annual ACM-SIAM symposium on discrete algorithms, SODA '99. Baltimore, MD, USA, January 17--19, 1999. Philadelphia, PA: SIAM. 476--483 (1999; Zbl 0931.65044)
Baĭramov, R. R. Nonself-adjoint quadratic operator pencils and elliptic problems. (English. Russian original) Zbl 0974.47053 Differ. Equations 34, No. 4, 559-563 (1998); translation from Differ. Uravn. 34, No. 4, 559-561 (1998). Reviewer: Valentin Chernyatin (Szczecin) MSC: 47N20 47A56 35J25 47A25 PDF BibTeX XML Cite \textit{R. R. Baĭramov}, Differ. Equations 34, No. 4, 559--563 (1998; Zbl 0974.47053); translation from Differ. Uravn. 34, No. 4, 559--561 (1998)
Ram, Yitshak M.; Elhay, Sylvan Constructing the shape of a rod from eigenvalues. (English) Zbl 0905.73036 Commun. Numer. Methods Eng. 14, No. 7, 597-608 (1998). MSC: 74H45 74K10 65L15 74S30 PDF BibTeX XML Cite \textit{Y. M. Ram} and \textit{S. Elhay}, Commun. Numer. Methods Eng. 14, No. 7, 597--608 (1998; Zbl 0905.73036) Full Text: DOI
Chistyakov, V. F. Algebro-differential operators with a finite-dimensional kernel. (Algebro-differentsial’nye operatory s konechnomernym yadrom.) (Russian) Zbl 0999.34002 Novosibirsk: Nauka, Sibirskaya Izdatel’skaya Firma Rossijskoj Akademii Nauk. 279 p. (1996). Reviewer: Viktor Alexandrov (Novosibirsk) MSC: 34-02 65L80 47E05 34A09 65L05 PDF BibTeX XML Cite \textit{V. F. Chistyakov}, Algebro-differentsial'nye operatory s konechnomernym yadrom (Russian). Novosibirsk: Nauka, Sibirskaya Izdatel'skaya Firma Rossijskoj Akademii Nauk (1996; Zbl 0999.34002)
Ionescu, Vlad; Weiss, Martin On computing the stabilizing solution of the discrete-time Riccati equation. (English) Zbl 0756.15020 Linear Algebra Appl. 174, 229-238 (1992). Reviewer: D.Kershaw (Lancaster) MSC: 15A24 15A22 93D21 93C55 PDF BibTeX XML Cite \textit{V. Ionescu} and \textit{M. Weiss}, Linear Algebra Appl. 174, 229--238 (1992; Zbl 0756.15020) Full Text: DOI
Wimmer, H. K. Unmixed solutions of the discrete-time algebraic Riccati equation. (English) Zbl 0759.15005 SIAM J. Control Optimization 30, No. 4, 867-878 (1992). Reviewer: V.Mehrmann (Chemnitz) MSC: 15A24 93C55 PDF BibTeX XML Cite \textit{H. K. Wimmer}, SIAM J. Control Optim. 30, No. 4, 867--878 (1992; Zbl 0759.15005) Full Text: DOI
Rutkas, A. G. Perturbations of Skew-Hermitian bundles and the degenerate Cauchy problem. (English. Russian original) Zbl 0709.47013 Ukr. Math. J. 41, No. 8, 931-935 (1989); translation from Ukr. Mat. Zh. 41, No. 8, 1082-1088 (1989). MSC: 47A56 34G10 PDF BibTeX XML Cite \textit{A. G. Rutkas}, Ukr. Math. J. 41, No. 8, 931--935 (1989; Zbl 0709.47013); translation from Ukr. Mat. Zh. 41, No. 8, 1082--1088 (1989) Full Text: DOI
Rutkas, A. G. Perturbations of skew-Hermitian pencils and degenerate Cauchy problem. (Russian) Zbl 0691.47020 Ukr. Mat. Zh. 41, No. 8, 1082-1088 (1989). Reviewer: A.Pankov MSC: 47A56 34G10 PDF BibTeX XML Cite \textit{A. G. Rutkas}, Ukr. Mat. Zh. 41, No. 8, 1082--1088 (1989; Zbl 0691.47020) Full Text: DOI
Kublanovskaya, V. N. Construction of vector spectral characteristics of a polynomial matrix pencil. (Russian) Zbl 0637.15006 Vychisl. Protsessy Sist. 5, 126-137 (1987). Reviewer: G.P.Barker MSC: 15A22 15A54 PDF BibTeX XML Cite \textit{V. N. Kublanovskaya}, Vychisl. Prots. Sist. 5, 126--137 (1987; Zbl 0637.15006)
Morozov, V. A.; Nazimov, A. B. On the problem of regularizing systems of linear algebraic equations. (English. Russian original) Zbl 0626.65035 Sov. Math., Dokl. 34, 278-280 (1987); translation from Dokl. Akad. Nauk SSSR 290, 286-289 (1987). Reviewer: C.W.Groetsch MSC: 65F20 15A09 15A22 PDF BibTeX XML Cite \textit{V. A. Morozov} and \textit{A. B. Nazimov}, Sov. Math., Dokl. 34, 278--280 (1987; Zbl 0626.65035); translation from Dokl. Akad. Nauk SSSR 290, 286--289 (1987)
Khazanov, V. B. Spectral properties of lambda-matrices. (English) Zbl 0527.15013 J. Sov. Math. 24, 121-132 (1984). MSC: 15A54 15A18 15A21 PDF BibTeX XML Cite \textit{V. B. Khazanov}, J. Sov. Math. 24, 121--132 (1984; Zbl 0527.15013) Full Text: DOI
Khazanov, V. B. On spectral properties of lambda-matrices. (Russian) Zbl 0496.15011 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 111, 180-194 (1981). MSC: 15A54 15A21 15A18 PDF BibTeX XML Cite \textit{V. B. Khazanov}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 111, 180--194 (1981; Zbl 0496.15011) Full Text: EuDML