Fu, Ming-Hui; Lu, Ke-Lang; Lan, Lin-Hua High order symplectic conservative perturbation method for time-varying Hamiltonian system. (English) Zbl 1345.70025 Acta Mech. Sin. 28, No. 3, 885-890 (2012). MSC: 70H06 70H09 PDFBibTeX XMLCite \textit{M.-H. Fu} et al., Acta Mech. Sin. 28, No. 3, 885--890 (2012; Zbl 1345.70025) Full Text: DOI
Agoujil, S.; Bentbib, A. H. Symplectic modified Gram-Schmidt as a symplectic Householder SR factorization. (English) Zbl 1308.65050 Int. J. Math. Stat. 11, No. 1, 58-69 (2012). MSC: 65F15 65F30 PDFBibTeX XMLCite \textit{S. Agoujil} and \textit{A. H. Bentbib}, Int. J. Math. Stat. 11, No. 1, 58--69 (2012; Zbl 1308.65050) Full Text: Link
Kurzhanski, A. B. On the problem of control for ellipsoidal motions. (English. Russian original) Zbl 1295.93034 Proc. Steklov Inst. Math. 277, 160-169 (2012); translation from Tr. Mat. Inst. Steklova 277, 168-177 (2012). MSC: 93B51 49L20 93C05 93C15 PDFBibTeX XMLCite \textit{A. B. Kurzhanski}, Proc. Steklov Inst. Math. 277, 160--169 (2012; Zbl 1295.93034); translation from Tr. Mat. Inst. Steklova 277, 168--177 (2012) Full Text: DOI
Palin, V. V.; Radkevich, E. V. The Maxwell problem and the Chapman projection. (English) Zbl 1306.35089 Rogosin, S. V. (ed.), Analytic methods of analysis and differential equations. AMADE 2009. Selected papers of the 5th international conference, Minsk, Belarus, September 14–19, 2009. Dedicated to the memory of Anatoly Kilbas. Cambridge: Cambridge Scientific Publishers (ISBN 978-1-908106-13-1/pbk). 149-172 (2012). MSC: 35Q30 35Q61 70H33 15A24 PDFBibTeX XMLCite \textit{V. V. Palin} and \textit{E. V. Radkevich}, in: Analytic methods of analysis and differential equations. AMADE 2009. Selected papers of the 5th international conference, Minsk, Belarus, September 14--19, 2009. Dedicated to the memory of Anatoly Kilbas. Cambridge: Cambridge Scientific Publishers. 149--172 (2012; Zbl 1306.35089)
Buscarino, A.; Fortuna, L.; Frasca, M.; Xibilia, M. G. An analytical approach to one-parameter MIMO systems passivity enforcement. (English) Zbl 1417.93283 Int. J. Control 85, No. 9, 1235-1247 (2012). MSC: 93D99 93C15 93C05 PDFBibTeX XMLCite \textit{A. Buscarino} et al., Int. J. Control 85, No. 9, 1235--1247 (2012; Zbl 1417.93283) Full Text: DOI
Odesskii, A. V.; Rubtsov, V. N.; Sokolov, V. V. Bi-Hamiltonian ordinary differential equations with matrix variables. (English. Russian original) Zbl 1274.70023 Theor. Math. Phys. 171, No. 1, 442-447 (2012); translation from Teor. Mat. Fiz. 171, No. 1, 26-32 (2012). MSC: 70H05 70H06 37J35 17B63 PDFBibTeX XMLCite \textit{A. V. Odesskii} et al., Theor. Math. Phys. 171, No. 1, 442--447 (2012; Zbl 1274.70023); translation from Teor. Mat. Fiz. 171, No. 1, 26--32 (2012) Full Text: DOI arXiv HAL
Berezansky, Yurij M. One remark concerning double-infinite Toda lattice. (English) Zbl 1289.37042 Methods Funct. Anal. Topol. 18, No. 4, 332-342 (2012). Reviewer: A. N. Kochubei (Kyïv) MSC: 37K15 39A13 47A75 37K10 PDFBibTeX XMLCite \textit{Y. M. Berezansky}, Methods Funct. Anal. Topol. 18, No. 4, 332--342 (2012; Zbl 1289.37042)
Li, Rao Two lower bounds of the Estrada index of a Hermitan matrix. (English) Zbl 1278.05143 Adv. Appl. Math. Sci. 12, No. 1, 1-5 (2012). MSC: 05C50 05C45 PDFBibTeX XMLCite \textit{R. Li}, Adv. Appl. Math. Sci. 12, No. 1, 1--5 (2012; Zbl 1278.05143)
Xing, Ligang; Alatancang The scatter of spectrum of quadratic operator pencils and nonnegative infinite dimensional Hamiltonian operators. (Chinese. English summary) Zbl 1268.47024 Acta Math. Sin., Chin. Ser. 55, No. 4, 665-672 (2012). MSC: 47A56 PDFBibTeX XMLCite \textit{L. Xing} and \textit{Alatancang}, Acta Math. Sin., Chin. Ser. 55, No. 4, 665--672 (2012; Zbl 1268.47024)
Niikuni, Hiroaki A periodic Schrödinger operator with two degenerate spectral gaps. (English) Zbl 1267.34149 Far East J. Math. Sci. (FJMS) 71, No. 2, 205-246 (2012). MSC: 34L40 34L15 34B30 34L05 34B37 PDFBibTeX XMLCite \textit{H. Niikuni}, Far East J. Math. Sci. (FJMS) 71, No. 2, 205--246 (2012; Zbl 1267.34149) Full Text: Link
Fritzsche, B.; Kirstein, B.; Roitberg, I. Ya.; Sakhnovich, A. L. Skew-self-adjoint Dirac system with a rectangular matrix potential: Weyl theory, direct and inverse problems. (English) Zbl 1268.34051 Integral Equations Oper. Theory 74, No. 2, 163-187 (2012). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 34B20 34L40 37K15 PDFBibTeX XMLCite \textit{B. Fritzsche} et al., Integral Equations Oper. Theory 74, No. 2, 163--187 (2012; Zbl 1268.34051) Full Text: DOI arXiv
Chen, Chun-Nan; Su, Wei-Long; Wang, Wan-Tsang; Jen, Jen-Yi; Li, Yiming \({k\cdot p}\) wurtzite Hamiltonian and optical matrix with bulk inversion asymmetry. (English) Zbl 1264.82153 Mod. Phys. Lett. B 26, No. 1, 1150002, 7 p. (2012). MSC: 82D37 82D25 PDFBibTeX XMLCite \textit{C.-N. Chen} et al., Mod. Phys. Lett. B 26, No. 1, 1150002, 7 p. (2012; Zbl 1264.82153) Full Text: DOI
Haile, Darrell; Natapov, Michael A graph theoretic approach to graded identities for matrices. (English) Zbl 1270.16017 J. Algebra 365, 147-162 (2012). Reviewer: Vesselin Drensky (Sofia) MSC: 16R10 05C30 05C45 16P90 16S50 16R50 16W50 16S35 PDFBibTeX XMLCite \textit{D. Haile} and \textit{M. Natapov}, J. Algebra 365, 147--162 (2012; Zbl 1270.16017) Full Text: DOI arXiv
Floratos, Emmanuel Matrix quantization of turbulence. (English) Zbl 1258.37036 Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 9, Paper No. 1250213, 8 p. (2012). MSC: 37D45 37J35 70H99 81S10 PDFBibTeX XMLCite \textit{E. Floratos}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 9, Paper No. 1250213, 8 p. (2012; Zbl 1258.37036) Full Text: DOI arXiv
Butkovič, Peter; Schneider, Hans; Sergeev, Sergeĭ Recognizing weakly stable matrices. (English) Zbl 1267.15024 SIAM J. Control Optim. 50, No. 5, 3029-3051 (2012). Reviewer: Alan L. Andrew (Bundoora) MSC: 15A80 05C50 15A18 93C55 05C38 05C45 PDFBibTeX XMLCite \textit{P. Butkovič} et al., SIAM J. Control Optim. 50, No. 5, 3029--3051 (2012; Zbl 1267.15024) Full Text: DOI Link
Menon, Govind Lesser known miracles of Burgers equation. (English) Zbl 1265.35374 Acta Math. Sci., Ser. B, Engl. Ed. 32, No. 1, 281-294 (2012). MSC: 35R60 35L67 37K10 60J75 PDFBibTeX XMLCite \textit{G. Menon}, Acta Math. Sci., Ser. B, Engl. Ed. 32, No. 1, 281--294 (2012; Zbl 1265.35374) Full Text: DOI
Mehrmann, Volker; Poloni, Federico Doubling algorithms with permuted Lagrangian graph bases. (English) Zbl 1260.65059 SIAM J. Matrix Anal. Appl. 33, No. 3, 780-805 (2012). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65K10 65F30 49N10 PDFBibTeX XMLCite \textit{V. Mehrmann} and \textit{F. Poloni}, SIAM J. Matrix Anal. Appl. 33, No. 3, 780--805 (2012; Zbl 1260.65059) Full Text: DOI Link
Ikramov, Kh. D. Equations of the form \(X\bar X = A\) with skew-Hamiltonian matrices \(A\). (English. Russian original) Zbl 1263.15034 Dokl. Math. 85, No. 3, 388-390 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 444, No. 5, 477-479 (2012). Reviewer: Frank Uhlig (Auburn) MSC: 15B57 15A24 15A21 PDFBibTeX XMLCite \textit{Kh. D. Ikramov}, Dokl. Math. 85, No. 3, 388--390 (2012; Zbl 1263.15034); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 444, No. 5, 477--479 (2012) Full Text: DOI
Ikramov, Kh. D. Antilinear operators and symplectic matrix algebra. (English. Russian original) Zbl 1255.15044 Dokl. Math. 85, No. 3, 369-371 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 444, No. 4, 356-358 (2012). MSC: 15B57 15A30 PDFBibTeX XMLCite \textit{Kh. D. Ikramov}, Dokl. Math. 85, No. 3, 369--371 (2012; Zbl 1255.15044); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 444, No. 4, 356--358 (2012) Full Text: DOI
Liu, Zhongyun; Zhang, Yulin; Ferreira, Carla; Ralha, Rui Structure-preserving Schur methods for computing square roots of real skew-Hamiltonian matrices. (English) Zbl 1250.65055 Electron. J. Linear Algebra 23, 845-865 (2012). MSC: 65F15 65F30 15A18 PDFBibTeX XMLCite \textit{Z. Liu} et al., Electron. J. Linear Algebra 23, 845--865 (2012; Zbl 1250.65055) Full Text: arXiv Link
Azizov, T. Ya.; Dijksma, A.; Gridneva, I. V. Conditional reducibility of certain unbounded nonnegative Hamiltonian operator functions. (English) Zbl 1276.47050 Integral Equations Oper. Theory 73, No. 2, 273-303 (2012). Reviewer: Vladimir A. Derkach (Donetsk) MSC: 47B50 46C20 47A15 47A56 47B44 PDFBibTeX XMLCite \textit{T. Ya. Azizov} et al., Integral Equations Oper. Theory 73, No. 2, 273--303 (2012; Zbl 1276.47050) Full Text: DOI
Garcia, Stephan Ramon; Tener, James E. Unitary equivalence of a matrix to its transpose. (English) Zbl 1274.15026 J. Oper. Theory 68, No. 1, 179-203 (2012). Reviewer: Omar Hirzallah (Zarqa) MSC: 15A21 15B57 PDFBibTeX XMLCite \textit{S. R. Garcia} and \textit{J. E. Tener}, J. Oper. Theory 68, No. 1, 179--203 (2012; Zbl 1274.15026) Full Text: arXiv
Doikou, Anastasia Selected topics in classical integrability. (English) Zbl 1247.70037 Int. J. Mod. Phys. A 27, No. 5, 1230003, 34 p. (2012). MSC: 70H06 70S05 37K10 17B67 17B63 70G45 35Q55 70-02 PDFBibTeX XMLCite \textit{A. Doikou}, Int. J. Mod. Phys. A 27, No. 5, 1230003, 34 p. (2012; Zbl 1247.70037) Full Text: DOI arXiv
Huang, Ye-Hui; Yao, Yu-Qin; Zeng, Yun-Bo A new \((\gamma_{A}, \sigma_{B})\)-matrix KP hierarchy and its solutions. (English) Zbl 1247.37060 Commun. Theor. Phys. 57, No. 4, 515-522 (2012). MSC: 37K10 37K40 35Q53 PDFBibTeX XMLCite \textit{Y.-H. Huang} et al., Commun. Theor. Phys. 57, No. 4, 515--522 (2012; Zbl 1247.37060) Full Text: DOI
Latushkin, Yuri; Sukhtayev, Alim The Evans function and the Weyl-Titchmarsh function. (English) Zbl 1250.35059 Discrete Contin. Dyn. Syst., Ser. S 5, No. 5, 939-970 (2012). MSC: 35C07 37K05 47A40 35B35 PDFBibTeX XMLCite \textit{Y. Latushkin} and \textit{A. Sukhtayev}, Discrete Contin. Dyn. Syst., Ser. S 5, No. 5, 939--970 (2012; Zbl 1250.35059) Full Text: DOI
Lu, Mei; Liu, Huiqing; Tian, Feng Spectral radius and Hamiltonian graphs. (English) Zbl 1247.05129 Linear Algebra Appl. 437, No. 7, 1670-1674 (2012). MSC: 05C45 05C50 15A18 PDFBibTeX XMLCite \textit{M. Lu} et al., Linear Algebra Appl. 437, No. 7, 1670--1674 (2012; Zbl 1247.05129) Full Text: DOI
Rodman, Leiba Lipschitz properties of structure preserving matrix perturbations. (English) Zbl 1298.15043 Linear Algebra Appl. 437, No. 7, 1503-1537 (2012). Reviewer: Rabe von Randow (Bonn) MSC: 15B57 15A21 PDFBibTeX XMLCite \textit{L. Rodman}, Linear Algebra Appl. 437, No. 7, 1503--1537 (2012; Zbl 1298.15043) Full Text: DOI
Costanza, Vicente; Troparevsky, Maria I.; Rivadeneira, Pablo S. Numerical solution of the variational PDEs arising in optimal control theory. (English) Zbl 1246.35066 Comput. Appl. Math. 31, No. 1, 37-58 (2012). MSC: 35F30 93C10 35Q93 PDFBibTeX XMLCite \textit{V. Costanza} et al., Comput. Appl. Math. 31, No. 1, 37--58 (2012; Zbl 1246.35066) Full Text: Link
Agoujil, S.; Bentbib, A. H.; Kanber, A. A structure preserving approximation method for Hamiltonian exponential matrices. (English) Zbl 1246.65076 Appl. Numer. Math. 62, No. 9, 1126-1138 (2012). MSC: 65F60 65P10 37M15 PDFBibTeX XMLCite \textit{S. Agoujil} et al., Appl. Numer. Math. 62, No. 9, 1126--1138 (2012; Zbl 1246.65076) Full Text: DOI
Butler, Samuel Multidimensional inverse scattering of integrable lattice equations. (English) Zbl 1251.39003 Nonlinearity 25, No. 6, 1613-1634 (2012). Reviewer: Ioannis P. Stavroulakis (Ioannina) MSC: 39A12 39A14 35Q53 37K10 37K60 PDFBibTeX XMLCite \textit{S. Butler}, Nonlinearity 25, No. 6, 1613--1634 (2012; Zbl 1251.39003) Full Text: DOI arXiv
Tang, Yaning; Ma, Wen-Xiu; Xu, Wei; Gao, Liang Integrable coupling hierarchy and Hamiltonian structure for a matrix spectral problem with arbitrary-order. (English) Zbl 1242.37050 Commun. Nonlinear Sci. Numer. Simul. 17, No. 2, 585-592 (2012). MSC: 37K10 35Q51 PDFBibTeX XMLCite \textit{Y. Tang} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 2, 585--592 (2012; Zbl 1242.37050) Full Text: DOI
Korchemsky, Gregory P. Review of AdS/CFT integrability, chapter IV.4: Integrability in QCD and \({\mathcal{N} < 4}\) SYM. (English) Zbl 1244.81067 Lett. Math. Phys. 99, No. 1-3, 425-453 (2012). MSC: 81V05 81R12 70H06 81U20 81T60 81T15 81-02 PDFBibTeX XMLCite \textit{G. P. Korchemsky}, Lett. Math. Phys. 99, No. 1--3, 425--453 (2012; Zbl 1244.81067) Full Text: DOI arXiv
Li, Long; Zhang, Meirong Rotation numbers of linear Hamiltonian systems with phase transitions over almost periodic lattices. (English) Zbl 1246.37067 Lett. Math. Phys. 100, No. 1, 51-75 (2012). MSC: 37E45 37J05 81Q10 37H05 PDFBibTeX XMLCite \textit{L. Li} and \textit{M. Zhang}, Lett. Math. Phys. 100, No. 1, 51--75 (2012; Zbl 1246.37067) Full Text: DOI
Cauley, Stephen; Balakrishnan, Venkataramanan; Klimeck, Gerhard; Koh, Cheng-Kok A two-dimensional domain decomposition technique for the simulation of quantum-scale devices. (English) Zbl 1242.65263 J. Comput. Phys. 231, No. 4, 1293-1313 (2012). MSC: 65N55 35Q40 65Y05 65Y20 PDFBibTeX XMLCite \textit{S. Cauley} et al., J. Comput. Phys. 231, No. 4, 1293--1313 (2012; Zbl 1242.65263) Full Text: DOI
Duits, Maurice; Kuijlaars, Arno B. J.; Mo, Man Yue The Hermitian two matrix model with an even quartic potential. (English) Zbl 1247.15032 Mem. Am. Math. Soc. 1022, v, 105 p. (2012). Reviewer: Václav Burjan (Praha) MSC: 15B52 30E25 60B20 30F10 31A05 42C05 82B26 PDFBibTeX XMLCite \textit{M. Duits} et al., The Hermitian two matrix model with an even quartic potential. Providence, RI: American Mathematical Society (AMS) (2012; Zbl 1247.15032) Full Text: DOI arXiv
Song, Junfeng; Qu, Changzheng Integrable systems and invariant curve flows in centro-equiaffine symplectic geometry. (English) Zbl 1247.37064 Physica D 241, No. 4, 393-402 (2012). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K10 70H06 37K25 PDFBibTeX XMLCite \textit{J. Song} and \textit{C. Qu}, Physica D 241, No. 4, 393--402 (2012; Zbl 1247.37064) Full Text: DOI
Bini, Dario A.; Iannazzo, Bruno; Meini, Beatrice Numerical solution of algebraic Riccati equations. (English) Zbl 1244.65058 Fundamentals of Algorithms 9. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-611972-08-5/pbk; 978-1-611972-09-2/ebook). xvi, 250 p. (2012). Reviewer: Constantin Popa (Constanţa) MSC: 65F30 15A24 65-02 PDFBibTeX XMLCite \textit{D. A. Bini} et al., Numerical solution of algebraic Riccati equations. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2012; Zbl 1244.65058) Full Text: DOI Link
Arreche, Carlos E. Computing the differential Galois group of a one-parameter family of second order linear differential equations. arXiv:1208.2226 Preprint, arXiv:1208.2226 [math.AC] (2012). MSC: 34M15 12H20 34M03 20H20 13N10 37K20 BibTeX Cite \textit{C. E. Arreche}, ``Computing the differential Galois group of a one-parameter family of second order linear differential equations'', Preprint, arXiv:1208.2226 [math.AC] (2012) Full Text: arXiv OA License