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65H10 Systems of equations (57 articles)

• Li, Beibei; Cui, Jingjing; Huang, Zhengge; Xie, Xiaofeng: A dual-parameter double-step splitting iteration method for solving complex symmetric linear equations. (English). Applications of Mathematics, vol. 69 (2024), issue 3, pp. 311-337
• Ali, Rashid; Pan, Kejia: The new iteration methods for solving absolute value equations. (English). Applications of Mathematics, vol. 68 (2023), issue 1, pp. 109-122
• Zhang, Shaoxiang; Chen, Huibin: New Einstein metrics on ${\rm Sp}(n)$ which are non-naturally reductive. (English). Czechoslovak Mathematical Journal, vol. 72 (2022), issue 2, pp. 349-363
• Lukšan, Ladislav; Vlček, Jan: New quasi-Newton method for solving systems of nonlinear equations. (English). Applications of Mathematics, vol. 62 (2017), issue 2, pp. 121-134
• Fischer, Cyril; Náprstek, Jiří: Remarks on inverse of matrix polynomials. (English). In: Chleboun, J., Kůs, P., Přikryl, P., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Janov nad Nisou, June 19-24, 2016. Institute of Mathematics CAS, Prague, 2017. pp. 24-29
• Argyros, Ioannis K.; Hilout, Saïd: Weaker convergence conditions for the secant method. (English). Applications of Mathematics, vol. 59 (2014), issue 3, pp. 265-284
• Argyros, Ioannis K.; Hilout, Saïd: Extending the applicability of Newton's method using nondiscrete induction. (English). Czechoslovak Mathematical Journal, vol. 63 (2013), issue 1, pp. 115-141
• Opfer, Gerhard; Janovská, Drahoslava: Zero points of quadratic matrix polynomials. (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. 168-176
• Du, Shou-qiang; Gao, Yan: Global convergence property of modified Levenberg-Marquardt methods for nonsmooth equations. (English). Applications of Mathematics, vol. 56 (2011), issue 5, pp. 481-498
• Soriano, J. M.: Weakly coercive mappings sharing a value. (English). Czechoslovak Mathematical Journal, vol. 61 (2011), issue 1, pp. 65-72
• Argyros, Ioannis K.; Hilout, Said: Convergence conditions for Secant-type methods. (English). Czechoslovak Mathematical Journal, vol. 60 (2010), issue 1, pp. 253-272
• Marcos, Fernando; Pereira, Edgar: A fixed point method to compute solvents of matrix polynomials. (English). Mathematica Bohemica, vol. 135 (2010), issue 4, pp. 355-362
• Du, Shou-qiang; Gao, Yan: A parametrized Newton method for nonsmooth equations with finitely many maximum functions. (English). Applications of Mathematics, vol. 54 (2009), issue 5, pp. 381-390
• Ito, Kazufumi; Kunisch, Karl: Semi-smooth Newton methods for the Signorini problem. (English). Applications of Mathematics, vol. 53 (2008), issue 5, pp. 455-468
• Argyros, Ioannis K.: New sufficient convergence conditions for the secant method. (English). Czechoslovak Mathematical Journal, vol. 55 (2005), issue 1, pp. 175-187
• Gao, Yan; Li, Xuewen: Nonsmooth equations approach to a constrained minimax problem. (English). Applications of Mathematics, vol. 50 (2005), issue 2, pp. 115-130
• Šolín, Pavel; Segeth, Karel: Non-uniqueness of almost unidirectional inviscid compressible flow. (English). Applications of Mathematics, vol. 49 (2004), issue 3, pp. 247-268
• Milaszewicz, Juan Pedro: On Brown's method with convexity hypotheses. (English). Applications of Mathematics, vol. 49 (2004), issue 2, pp. 165-184
• Gao, Yan: Newton methods for solving two classes of nonsmooth equations. (English). Applications of Mathematics, vol. 46 (2001), issue 3, pp. 215-229
• Mayer, Günter: Epsilon-inflation with contractive interval functions. (English). Applications of Mathematics, vol. 43 (1998), issue 4, pp. 241-254
• Jódar, L.; Ponsoda, E.; Rodríguez, G.: Approximations and error bounds for computing the inverse mapping. (English). Applications of Mathematics, vol. 42 (1997), issue 2, pp. 99-110
• Mastorakis, Nikos E.: An extension of the root perturbation $m$-dimensional polynomial factorization method. (English). Kybernetika, vol. 32 (1996), issue 5, pp. 443-453
• Pospíšek, Miroslav: Convergent algorithms suitable for the solution of the semiconductor device equations. (English). Applications of Mathematics, vol. 40 (1995), issue 2, pp. 107-130
• Bohl, Erich; Schropp, Johannes: Discrete evolutions: Convergence and applications. (English). Applications of Mathematics, vol. 38 (1993), issue 4, pp. 266-280
• Blaheta, Radim; Kohut, Roman: Efficient inexact Newton-like methods with application to problems of the deformation theory of plasticity. (English). Applications of Mathematics, vol. 38 (1993), issue 6, pp. 411-427
• Axelsson, Owe: On mesh independence and Newton-type methods. (English). Applications of Mathematics, vol. 38 (1993), issue 4, pp. 249-265
• Chen, Dong: Ostrowski-Kantorovich theorem and $S$-order of convergence of Halley method in Banach spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 1, pp. 153-163
• Rohn, Jiří: Interval solutions of linear interval equations. (English). Aplikace matematiky, vol. 35 (1990), issue 3, pp. 220-224
• Bremer, I.; Schneider, Klaus R.: A remark on solving large systems of equations in function spaces. (English). Aplikace matematiky, vol. 35 (1990), issue 6, pp. 494-498
• Jajou, Amer F.; Zimmermann, Karel: Max-separable equations and the set covering. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 30 (1989), issue 1, pp. 13-21
• Mayer, Günter: On Newton-like methods to enclose solutions of nonlinear equations. (English). Aplikace matematiky, vol. 34 (1989), issue 1, pp. 67-84
• Meravý, Pavol: On the existence of a solution of $F(x)=0$ in some compact sets. (English). Mathematica Slovaca, vol. 39 (1989), issue 1, pp. 65-74
• Jan, Jiří: Recursive algorithms for solving systems of nonlinear equations. (English). Aplikace matematiky, vol. 34 (1989), issue 1, pp. 33-45
• Meravý, Pavol: Symmetric homotopies for solving systems of polynomial equations. (English). Mathematica Slovaca, vol. 39 (1989), issue 3, pp. 277-288
• Tůma, Miroslav: A note on direct methods for approximations of sparse Hessian matrices. (English). Aplikace matematiky, vol. 33 (1988), issue 3, pp. 171-176
• Brunovský, Pavol; Meravý, Pavol: Ako riešiť algebraické rovnice pomocou rovnic diferenciálnych. (Slovak) [How to solve algebraic equations by differential equations]. Pokroky matematiky, fyziky a astronomie, vol. 32 (1987), issue 5, pp. 273-286
• Ozawa, Masanori; Yanai, Hiroshi: Some notes on the quasi-Newton methods. (English). Aplikace matematiky, vol. 27 (1982), issue 6, pp. 433-445
• Oelschlägel, Dieter; Süsse, Herbert: Bemerkungen zum Verfahren der koordinatenweisen Suche. (German) [Remarks on the method of coordinatewise search]. Aplikace matematiky, vol. 26 (1981), issue 3, pp. 202-210
• Törnig, W.: Monoton konvergente Iterationsprozesse zur Lösung diskretisierter nichtlinearer Randwertprobleme. (German) [Monotonically convergent iteration processes for solving discretized nonlinear boundary value problems]. In: Greguš, Michal (ed.): Equadiff 5. Proceedings of the Fifth Czechoslovak Conference on Differential Equations and Their Applications held in Bratislava, August 24-28, 1981. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1982. pp. 344-347
• Potra, Florian Alexandru: An application of the induction method of V. Pták to the study of regula falsi. (English). Aplikace matematiky, vol. 26 (1981), issue 2, pp. 111-120
• Hackbusch, Wolfgang: Error analysis of the nonlinear multigrid method of the second kind. (English). Aplikace matematiky, vol. 26 (1981), issue 1, pp. 18-29
• Ullrich, Christian: Über schwach zyklische Abbildungen in nichtlinearen Produkträumen und einige Monotonieaussagen. (German) [On weakly cyclic mappings in nonlinear product spaces and some monotonicity statements]. Aplikace matematiky, vol. 24 (1979), issue 3, pp. 209-234
• Martínez, J. M.: On the order of convergence of Broyden-Gay-Schnabel's method. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 19 (1978), issue 1, pp. 107-118
• Sloboda, Fridrich: A parallel projection method for linear algebraic systems. (English). Aplikace matematiky, vol. 23 (1978), issue 3, pp. 185-198
• Axelsson, O.: On the numerical solution of nonlinear partial differential equations on divergence form. (English). In: Fábera, Jiří (ed.): Equadiff IV. Czechoslovak Conference on Differential Equations and Their Applications. Proceedings, Prague, August 22-26, 1977. Springer-Verlag, Berlin, 1979. pp. [5]-15
• Sloboda, Fridrich: Nonlinear iterative methods and parallel computation. (English). Aplikace matematiky, vol. 21 (1976), issue 4, pp. 252-262
• Pták, Vlastimil: Concerning the rate of convergence of Newton's process. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 16 (1975), issue 4, pp. 699-705
• Křížek, Miroslav: On the convergence of modified relaxation methods for extremum problems. (English). Aplikace matematiky, vol. 20 (1975), issue 5, pp. 359-371
• Chajda, Ivan: Systems of equations and tolerance relations. (English). Czechoslovak Mathematical Journal, vol. 25 (1975), issue 2, pp. 302-308
• Robert, F.: Iterations chaotiques série-parallele pour des équations non lineaires de point fixe. (French). Acta Universitatis Carolinae. Mathematica et Physica, vol. 15 (1974), issue 1, pp. 153
• Štecha, Jan; Kozáčiková, Alena; Kozáčik, Jaroslav: Algorithms for solution of equations $PA+A^TP=-Q$ and $M^TPM-P=-Q$ resulting in Lyapunov stability analysis of linear systems. (English). Kybernetika, vol. 9 (1973), issue 1, pp. (62)-71
• Alefeld, Götz: Über die Existenz einer eindeutigen Lösung bei einer Klasse nichtlinearer Gleichungssysteme und deren Berechnung mit Iterationsverfahren. (German) [On the existence of a unique solution for a class of nonlinear systems of equations its calculation by iteration methods]. Aplikace matematiky, vol. 17 (1972), issue 4, pp. 267-294
• Schneider, M.: Das Einschliessen der Lösung von Gleichungen mittels eines verallgemeinerten Iterationsverfahrens. (German) [Enclosure of solutions of equations using generalized iteration processes]. Archivum Mathematicum, vol. 4 (1968), issue 2, pp. 75-86
• Schneider, Manfred: Das Einschliessen der Lösungen von Gleichungen im Banachraum. (German) [Enclosure of solutions of equations in a Banach space]. Archivum Mathematicum, vol. 3 (1967), issue 2, pp. 45-54
• Soldán, Josef: Řešení algebraických a transcendentních rovnic na analogovém počítači. (Czech) [Solution of algebraic and transcendental equations on analogue computer]. Kybernetika, vol. 3 (1967), issue 5, pp. (483)-498
• Šisler, Miroslav: O řešení soustavy nelineárních rovnic s funkční maticí speciálního typu. (Czech) [Solution of a system of nonlinear equations with a functional matrix of special type]. Časopis pro pěstování matematiky, vol. 90 (1965), issue 3, pp. 344-352
• Janko, Jaromír: Solution of non-linear equations systems by Newton's method and the gradients method. (English). Aplikace matematiky, vol. 10 (1965), issue 3, pp. 230-234