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65F15 Eigenvalues, eigenvectors (42 articles)

• Wang, Yinghua; Song, Xinnian; Gao, Lei: A new inclusion interval for the real eigenvalues of real matrices. (English). Czechoslovak Mathematical Journal, vol. 73 (2023), issue 3, pp. 979-992
• Vaněk, Petr; Pultarová, Ivana: Convergence theory for the exact interpolation scheme with approximation vector as the first column of the prolongator and Rayleigh quotient iteration nonlinear smoother. (English). Applications of Mathematics, vol. 62 (2017), issue 1, pp. 49-73
• Chen, Hongjia; Imakura, Akira; Sakurai, Tetsuya: Improving backward stability of Sakurai-Sugiura method with balancing technique in polynomial eigenvalue problem. (English). Applications of Mathematics, vol. 62 (2017), issue 4, pp. 357-375
• Pešta, Michal: Asymptotics for weakly dependent errors-in-variables. (English). Kybernetika, vol. 49 (2013), issue 5, pp. 692-704
• Castelli, Roberto; Lessard, Jean-Philippe: A method to rigorously enclose eigenpairs of complex interval matrices. (English). In: Brandts, J., Korotov, S., Křížek, M., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2013, In honor of the 70th birthday of Karel Segeth. Proceedings. Prague, May 15-17, 2013. Institute of Mathematics AS CR, Prague, 2013. pp. 21-32
• Pultarová, Ivana: Fourier analysis of iterative aggregation-disaggregation methods for nearly circulant stochastic matrices. (English). In: Chleboun, J., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 3-8, 2012. Institute of Mathematics AS CR, Prague, 2013. pp. 168-173
• Hu, Guang-Da; Zhu, Qiao: Bounds of modulus of eigenvalues based on Stein equation. (English). Kybernetika, vol. 46 (2010), issue 4, pp. 655-664
• Betcke, Marta M.; Voss, Heinrich: Stationary Schrödinger equations governing electronic states of quantum dots in the presence of spin-orbit splitting. (English). Applications of Mathematics, vol. 52 (2007), issue 3, pp. 267-284
• Impram, Serkan T.; Johnson, Russell; Pavani, Raffaella: The $D$-stability problem for $4\times 4$ real matrices. (English). Archivum Mathematicum, vol. 41 (2005), issue 4, pp. 439-450
• Jarlebring, Elias; Voss, Heinrich: Rational Krylov for nonlinear eigenproblems, an iterative projection method. (English). Applications of Mathematics, vol. 50 (2005), issue 6, pp. 543-554
• Klapka, Štěpán; Mayer, Petr: Aggregation/disaggregation method for safety models. (English). Applications of Mathematics, vol. 47 (2002), issue 2, pp. 127-137
• Diniz-Ehrhardt, M. A.; Dostál, Z.; Gomes-Ruggiero, M. A.; Martínez, J. M.; Santos, S. A.: Nonmonotone strategy for minimization of quadratics with simple constraints. (English). Applications of Mathematics, vol. 46 (2001), issue 5, pp. 321-338
• Kratz, Werner: Sturm-Liouville difference equations and banded matrices. (English). Archivum Mathematicum, vol. 36 (2000), issue 5, pp. 499-505
• Mayer, Günter: Epsilon-inflation with contractive interval functions. (English). Applications of Mathematics, vol. 43 (1998), issue 4, pp. 241-254
• Křížek, Michal; Práger, Milan; Vitásek, Emil: Spolehlivost numerických výpočtů. (Czech) [Reliability of numerical calculations]. Pokroky matematiky, fyziky a astronomie, vol. 42 (1997), issue 1, pp. 8-23
• Cerha, J.: A method for determining constants in the linear combination of exponentials. (English). Mathematica Bohemica, vol. 121 (1996), issue 2, pp. 121-122
• Jódar, Lucas; Navarro, Enrique; Ferrer, M. V.: A matrix constructive method for the analytic-numerical solution of coupled partial differential systems. (English). Applications of Mathematics, vol. 40 (1995), issue 5, pp. 391-400
• Vaněk, Petr: Multi-level method in eigenvalue problem. (English). Applications of Mathematics, vol. 39 (1994), issue 4, pp. 259-267
• Cliffe, K. A.; Garratt, T. J.; Spence, A.: A modified Cayley transform for the discretized Navier-Stokes equations. (English). Applications of Mathematics, vol. 38 (1993), issue 4, pp. 281-288
• Scherzer, Otmar: A parameter choice for Tikhonov regularization for solving nonlinear inverse problems leading to optimal convergence rates. (English). Applications of Mathematics, vol. 38 (1993), issue 6, pp. 479-487
• Elhay, Sylvan; Kautsky, Jaroslav: Generalized Kronrod Patterson type imbedded quadratures. (English). Applications of Mathematics, vol. 37 (1992), issue 2, pp. 81-103
• Šisler, Miroslav: Über ein mehrparametriges Iterationsverfahren für lineare algebraische Gleichungssysteme. (German) [On a multi-parameter iteration method for systems of linear algebraic equations]. Aplikace matematiky, vol. 35 (1990), issue 5, pp. 337-349
• Fam, Van At: Определение наибольшего собственного значения и соответствующего собственного вектора неотрицательных матриц степенным методом. (Russian) [Determination of the greatest eigenvalue and the corresponding eigenvector of nonnegative matrices by the power method]. Czechoslovak Mathematical Journal, vol. 39 (1989), issue 4, pp. 585-588
• Šisler, Miroslav: Über ein mehrparametriges Iterationsverfahren für lineare Gleichungssysteme mit einer dünnen Matrix. (German) [A multi-parameter iterative method for systems of linear algebraic equations with sparse matrix]. Aplikace matematiky, vol. 31 (1986), issue 6, pp. 420-426
• Stavinoha, Pavel: Convergence of $L_p$-norms of a matrix. (English). Aplikace matematiky, vol. 30 (1985), issue 5, pp. 351-360
• Goerisch, Friedrich; Albrecht, Julius: The convergence of a new method for calculating lower bounds to eigenvalues. (English). In: Vosmanský, Jaromír and Zlámal, Miloš (eds.): Equadiff 6. Proceedings of the International Conference on Differential Equations and Their Applications held in Brno, Czechoslovakia, Aug. 26 - 30, 1985. J. E. Purkyně University, Department of Mathematics, Brno, 1986. pp. [303]-308
• Regińska, Teresa: Convergence of approximation methods for eigenvalue problem for two forms. (English). Aplikace matematiky, vol. 29 (1984), issue 5, pp. 333-341
• Fiedler, Miroslav: A deflation formula for tridiagonal matrices. (English). Aplikace matematiky, vol. 25 (1980), issue 5, pp. 348-357
• Dostál, Zdeněk: Polynomials of the eigenvalues and powers of matrices. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 19 (1978), issue 3, pp. 459-469
• Skála, Lubomír: Algorithms. 42. BISEC. The eigenvalues of the symmetric eigenproblem $\bold Ax=\lambda\bold Bx$ and related eigenproblems. (English). Aplikace matematiky, vol. 22 (1977), issue 6, pp. 463-469
• Marek, Ivo; Zítko, Jan: Ljusternik acceleration and the extrapolated S.O.R. method. (English). Aplikace matematiky, vol. 22 (1977), issue 2, pp. 116-133
• Zezula, R.; Roček, J.; Miasnikov, A.: On relations between right and left eigenvectors of nonselfadjoint matrix pencils. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 18 (1977), issue 1, pp. 37-45
• Wimmer, Harald K.; Ziebur, Allen D.: Remarks on inertia theorems for matrices. (English). Czechoslovak Mathematical Journal, vol. 25 (1975), issue 4, pp. 556-561
• Zítko, Jan: Kellogg's iterations for general complex matrix. (English). Aplikace matematiky, vol. 19 (1974), issue 5, pp. 342-365
• Wilkinson, J. H.: Note on inverse iteration and III-conditioned eigensystems. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 15 (1974), issue 1, pp. 173-177
• Hadeler, K. P.: On a class of nonlinear eigenvalue problems. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 15 (1974), issue 1, pp. 35-38
• Marek, I.: A reduction method for approximate solving large elliptic systems. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 15 (1974), issue 1, pp. 97-102
• Fiedler, M.: Some results on eigenvalues of nonnegative matrices. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 15 (1974), issue 1, pp. 25-29
• Šedová, Dagmar: Verallgemeinerung der Sätze von Poincaré und Perron für Systeme von Differenzengleichungen im linearen Raum. (German) [A generalization of the theorem of Poincaré and Perron for a system of differential equations in a linear space]. Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika, vol. 13 (1973), issue 1, pp. 91-95
• Šisler, Miroslav: Über die Konvergenzbeschleunigung komplexer Iterationsverfahren. (German) [On the convergence acceleration of a complex iteration method]. Aplikace matematiky, vol. 15 (1970), issue 3, pp. 156-176
• Marek, Ivo: Приближенное решение несимметрических задач на собственные значения. Применение к методу сеток. (Russian) [Approximate solution of nonsymmetric problems for characteristic values. Application to the method of nets]. Aplikace matematiky, vol. 10 (1965), issue 3, pp. 268-271
• Marek, Ivo: On the Approximative Construction of the Eigenvectors Corresponding to a Pair of Complex Conjugated Eigenvalues. (English). Matematicko-fyzikálny časopis, vol. 14 (1964), issue 4, pp. 277-288