Bozorgmanesh, Hassan; Hajarian, Masoud; Chronopoulos, Anthony Theodore Interval tensors and their application in solving multi-linear systems of equations. (English) Zbl 1448.15030 Comput. Math. Appl. 79, No. 3, 697-715 (2020). MSC: 15A69 15A18 15A06 65F10 PDF BibTeX XML Cite \textit{H. Bozorgmanesh} et al., Comput. Math. Appl. 79, No. 3, 697--715 (2020; Zbl 1448.15030) Full Text: DOI
Milošević, Dušan M.; Milošević, Mimica R.; Džunić, Jovana On an efficient inclusion method for finding polynomial zeros. (English) Zbl 1321.65078 J. Comput. Appl. Math. 290, 298-309 (2015). MSC: 65H04 65E05 65G30 30C15 65Y20 PDF BibTeX XML Cite \textit{D. M. Milošević} et al., J. Comput. Appl. Math. 290, 298--309 (2015; Zbl 1321.65078) Full Text: DOI
Dehghani-Madiseh, Marzieh; Dehghan, Mehdi Generalized solution sets of the interval generalized Sylvester matrix equation \(\sum_{i=1}^p\mathbf A_iX_i+\sum_{j=1}^qY_j\mathbf B_j=\mathbf C\) and some approaches for inner and outer estimations. (English) Zbl 1368.15012 Comput. Math. Appl. 68, No. 12, Part A, 1758-1774 (2014). MSC: 15A24 65F30 65G40 PDF BibTeX XML Cite \textit{M. Dehghani-Madiseh} and \textit{M. Dehghan}, Comput. Math. Appl. 68, No. 12, Part A, 1758--1774 (2014; Zbl 1368.15012) Full Text: DOI
Milošević, Dušan; Petković, Miodrag S.; Herceg, Đorđe; Milošević, Mimica The improved square-root methods for the inclusion of multiple zeros of polynomials. (English) Zbl 1289.65124 Novi Sad J. Math. 40, No. 1, 77-101 (2010). Reviewer: Boško Jovanović (Beograd) MSC: 65H04 26C10 65Y20 PDF BibTeX XML Cite \textit{D. Milošević} et al., Novi Sad J. Math. 40, No. 1, 77--101 (2010; Zbl 1289.65124)
Stradi-Granados, Benito A.; Haven, Emmanuel The use of interval arithmetic in solving a non-linear rational expectation based multiperiod output-inflation process model: the case of the IN/GB method. (English) Zbl 1176.91161 Eur. J. Oper. Res. 203, No. 1, 222-229 (2010). MSC: 91G60 91B64 PDF BibTeX XML Cite \textit{B. A. Stradi-Granados} and \textit{E. Haven}, Eur. J. Oper. Res. 203, No. 1, 222--229 (2010; Zbl 1176.91161) Full Text: DOI
Kearfott, R. Baker A comparison of some methods for bounding connected and disconnected solution sets of interval linear systems. (English) Zbl 1180.65055 Computing 82, No. 1, 77-102 (2008). Reviewer: M. Milla Miranda (Rio de Janeiro) MSC: 65G30 PDF BibTeX XML Cite \textit{R. B. Kearfott}, Computing 82, No. 1, 77--102 (2008; Zbl 1180.65055) Full Text: DOI
Wang, Yan; Nnaji, Bartholomew O. Solving interval constraints by linearization in computer-aided design. (English) Zbl 1110.65018 Reliab. Comput. 13, No. 2, 211-244 (2007). MSC: 65D17 65G30 65F10 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{B. O. Nnaji}, Reliab. Comput. 13, No. 2, 211--244 (2007; Zbl 1110.65018) Full Text: DOI
Corsalo, Stephania; Marino, Marina Interval linear systems: the state of the art. (English) Zbl 1115.65032 Comput. Stat. 21, No. 2, 365-383 (2006). Reviewer: R. E. Maiboroda (Kyïv) MSC: 65F05 65F10 65G30 PDF BibTeX XML Cite \textit{S. Corsalo} and \textit{M. Marino}, Comput. Stat. 21, No. 2, 365--383 (2006; Zbl 1115.65032) Full Text: DOI
Petković, M. S.; Milošević, D. Derivative free inclusion methods for polynomial zeros. (English) Zbl 1086.65051 Computing 75, No. 1, 71-83 (2005). Reviewer: René Lamour (Berlin) MSC: 65H05 30C15 65G30 PDF BibTeX XML Cite \textit{M. S. Petković} and \textit{D. Milošević}, Computing 75, No. 1, 71--83 (2005; Zbl 1086.65051) Full Text: DOI
Petković, L. D.; Petković, M. S.; Milošević, D. Weierstrass-like methods with corrections for the inclusion of polynomial zeros. (English) Zbl 1086.65050 Computing 75, No. 1, 55-69 (2005). Reviewer: René Lamour (Berlin) MSC: 65H05 30C15 65G30 PDF BibTeX XML Cite \textit{L. D. Petković} et al., Computing 75, No. 1, 55--69 (2005; Zbl 1086.65050) Full Text: DOI
Petković, Miodrag S.; Milošević, Dušan M. Laguerre-like methods with corrections for the inclusion of polynomial zeros. (English) Zbl 1109.65048 Novi Sad J. Math. 34, No. 1, 135-156 (2004). Reviewer: Ljiljana Petković (Niš) MSC: 65H05 30C15 65E05 65G30 65Y20 PDF BibTeX XML Cite \textit{M. S. Petković} and \textit{D. M. Milošević}, Novi Sad J. Math. 34, No. 1, 135--156 (2004; Zbl 1109.65048) Full Text: EuDML
Chiu, Chong-Kan; Lee, Jimmy Ho-Man Efficient interval linear equality solving in constraint logic programming. (English) Zbl 1003.65024 Reliab. Comput. 8, No. 2, 139-174 (2002). Reviewer: H.Ratschek (Düsseldorf) MSC: 65F05 68N17 65F35 65G30 PDF BibTeX XML Cite \textit{C.-K. Chiu} and \textit{J. H. M. Lee}, Reliab. Comput. 8, No. 2, 139--174 (2002; Zbl 1003.65024) Full Text: DOI
Shary, Sergey P. Interval Gauss-Seidel method for generalized solution sets to interval linear systems. (English) Zbl 0976.65032 Reliab. Comput. 7, No. 2, 141-155 (2001). Reviewer: J.Rohn (Praha) MSC: 65F10 65G30 PDF BibTeX XML Cite \textit{S. P. Shary}, Reliab. Comput. 7, No. 2, 141--155 (2001; Zbl 0976.65032) Full Text: DOI
Granvilliers, Laurent Towards cooperative interval narrowing. (English) Zbl 0961.65048 Kirchner, Hélène (ed.) et al., Frontiers of combining systems. 3rd international workshop, FroCoS 2000, Nancy, France, March 22-24, 2000. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1794, 18-31 (2000). MSC: 65H10 65G30 PDF BibTeX XML Cite \textit{L. Granvilliers}, Lect. Notes Comput. Sci. 1794, 18--31 (2000; Zbl 0961.65048)
Stipanović, Dušan M.; Šiljak, Dragoslav D. Jacobi and Gauss-Seidel iterations for polytopic systems: Convergence via convex \(M\)-matrices. (English) Zbl 0961.65027 Reliab. Comput. 6, No. 2, 123-137 (2000). Reviewer: H.Ratschek (Düsseldorf) MSC: 65F10 65G30 65H10 PDF BibTeX XML Cite \textit{D. M. Stipanović} and \textit{D. D. Šiljak}, Reliab. Comput. 6, No. 2, 123--137 (2000; Zbl 0961.65027) Full Text: DOI
Ratz, Dietmar On branching rules in second-order branch-and-bound methods for global optimization. (English) Zbl 0849.65046 Alefeld, Götz (ed.) et al., Scientific computing and validated numerics. Proceedings of the international symposium on scientific computing, computer arithmetic and validated numerics SCAN-95, Wuppertal, Germany, September 26-29, 1995. Berlin: Akademie Verlag. Math. Res. 90, 221-227 (1996). MSC: 65K05 90C30 65G30 PDF BibTeX XML Cite \textit{D. Ratz}, in: Scientific computing and validated numerics. Proceedings of the international symposium on scientific computing, computer arithmetic and validated numerics SCAN-95, Wuppertal, Germany, September 26-29, 1995. Berlin: Akademie Verlag. 221--227 (1996; Zbl 0849.65046)
Kearfott, R. Baker; Shi, Xiaofa Optimal preconditioners for interval Gauss-Seidel methods. (English) Zbl 0849.65018 Alefeld, Götz (ed.) et al., Scientific computing and validated numerics. Proceedings of the international symposium on scientific computing, computer arithmetic and validated numerics SCAN-95, Wuppertal, Germany, September 26-29, 1995. Berlin: Akademie Verlag. Math. Res. 90, 173-178 (1996). MSC: 65F10 65G30 65F35 PDF BibTeX XML Cite \textit{R. B. Kearfott} and \textit{X. Shi}, in: Scientific computing and validated numerics. Proceedings of the international symposium on scientific computing, computer arithmetic and validated numerics SCAN-95, Wuppertal, Germany, September 26-29, 1995. Berlin: Akademie Verlag. 173--178 (1996; Zbl 0849.65018)
Ratschek, Helmut; Rokne, Jon Interval methods. (English) Zbl 0832.90109 Horst, Reiner et al., Handbook of global optimization. Dordrecht: Kluwer Academic Publishers. Nonconvex Optim. Appl. 2, 751-828 (1995). MSC: 90C30 90-02 PDF BibTeX XML Cite \textit{H. Ratschek} and \textit{J. Rokne}, Nonconvex Optim. Appl. 2, 751--828 (1995; Zbl 0832.90109)
Ratz, D. Box-splitting strategies for the interval Gauss-Seidel step in a global optimization method. (English) Zbl 0811.65046 Computing 53, No. 3-4, 337-353 (1994). MSC: 65K05 65G30 65H10 90C26 PDF BibTeX XML Cite \textit{D. Ratz}, Computing 53, No. 3--4, 337--353 (1994; Zbl 0811.65046) Full Text: DOI
Kearfott, R. Baker; Shi, Xiaofa A preconditioner selection heuristic for efficient iteration with decomposition of arithmetic expressions for nonlinear algebraic systems. (English) Zbl 0829.65066 Interval Comput. 1993, No. 1, 15-33 (1993). MSC: 65H10 65G30 PDF BibTeX XML Cite \textit{R. B. Kearfott} and \textit{X. Shi}, Interval Comput. 1993, No. 1, 15--33 (1993; Zbl 0829.65066)
Taubert, K. Convergence criteria for the Gauss-Seidel method by means of test mappings. (Konvergenzkriterien für das Gauß-Seidel-Verfahren durch normabhängige Testabbildungen.) (German) Zbl 0793.65015 Z. Angew. Math. Mech. 73, No. 7-8, T832-T834 (1993). MSC: 65F10 15A06 65B99 65G99 PDF BibTeX XML Cite \textit{K. Taubert}, Z. Angew. Math. Mech. 73, No. 7--8, T832--T834 (1993; Zbl 0793.65015)
Kjurkchiev, N. V.; Andreev, A. S. Two-sided Gauss-Seidel generalization of Ehrlich’s method for solving algebraic equations. (English) Zbl 0839.65063 Atanassova, Lidiya (ed.) et al., Computer arithmetic and enclosure methods. Proceedings of the 3rd International IMACS-GAMM Symposium on Computer Arithmetic and Scientific Computing (SCAN-91), Oldenburg, Germany, 1-4 October 1991. Amsterdam: North-Holland. 463-468 (1992). MSC: 65H05 65G30 12Y05 26C10 PDF BibTeX XML Cite \textit{N. V. Kjurkchiev} and \textit{A. S. Andreev}, in: Computer arithmetic and enclosure methods. Proceedings of the 3rd International IMACS-GAMM Symposium on Computer Arithmetic and Scientific Computing (SCAN-91), Oldenburg, Germany, 1-4 October 1991. Amsterdam: North-Holland. 463--468 (1992; Zbl 0839.65063)
Ratz, Dietmar Automatic verification of results in global optimization problems. (Automatische Ergebnisverifikation bei globalen Optimierungsproblemen.) (German) Zbl 0831.65068 Karlsruhe: Math. Fak., Univ. Karlsruhe, viii, 165 S. (1992). MSC: 65K05 90C30 65G30 PDF BibTeX XML Cite \textit{D. Ratz}, Automatische Ergebnisverifikation bei globalen Optimierungsproblemen. Karlsruhe: Math. Fak., Univ. Karlsruhe (1992; Zbl 0831.65068)
Kjurkchiev, N.; Andreev, A. On the generalization of the Alefeld-Herzberger’s method. (English) Zbl 0753.65040 Computing 47, No. 3-4, 355-360 (1992). Reviewer: R.Anguelov (Bulawayo) MSC: 65H05 65G30 26C10 PDF BibTeX XML Cite \textit{N. Kjurkchiev} and \textit{A. Andreev}, Computing 47, No. 3--4, 355--360 (1992; Zbl 0753.65040) Full Text: DOI
Li, Youming Estimates of \(| | B^{-1}A| | \) and their applications. (Chinese. English summary) Zbl 0734.65024 Numer. Math., Nanjing 13, No. 2, 122-130 (1991). MSC: 65F10 65G30 PDF BibTeX XML Cite \textit{Y. Li}, Numer. Math., Nanjing 13, No. 2, 122--130 (1991; Zbl 0734.65024)
Kearfott, R. Baker; Hu, Chenyi; Novoa, Manuel III A review of preconditioners for the interval Gauss-Seidel method. (English) Zbl 0835.65065 Interval Comput. 1991, No. 1, 59-85 (1991). MSC: 65F35 65H10 65G30 PDF BibTeX XML Cite \textit{R. B. Kearfott} et al., Interval Comput. 1991, No. 1, 59--85 (1991; Zbl 0835.65065)
Kearfott, R. Baker Decompostition of arithmetic expressions to improve the behavior of interval iteration for nonlinear systems. (English) Zbl 0739.65049 Computing 47, No. 2, 169-191 (1991). Reviewer: G.Mayer (Karlsruhe) MSC: 65H10 65G30 65D25 PDF BibTeX XML Cite \textit{R. B. Kearfott}, Computing 47, No. 2, 169--191 (1991; Zbl 0739.65049) Full Text: DOI
Frommer, A.; Mayer, G. Efficient methods for enclosing solutions of systems of nonlinear equations. (English) Zbl 0721.65025 Computing 44, No. 3, 221-235 (1990). Reviewer: A.Frommer MSC: 65H10 65G30 PDF BibTeX XML Cite \textit{A. Frommer} and \textit{G. Mayer}, Computing 44, No. 3, 221--235 (1990; Zbl 0721.65025) Full Text: DOI
Madan, Ved P. Interval Newton method: Hansen-Greenberg approach - some procedural improvements. (English) Zbl 0715.65035 Appl. Math. Comput. 35, No. 3, 263-276 (1990). Reviewer: H.Fischer MSC: 65H10 65G30 PDF BibTeX XML Cite \textit{V. P. Madan}, Appl. Math. Comput. 35, No. 3, 263--276 (1990; Zbl 0715.65035) Full Text: DOI
Kearfott, R. Baker Preconditioners for the interval Gauss-Seidel method. (English) Zbl 0713.65037 SIAM J. Numer. Anal. 27, No. 3, 804-822 (1990). Reviewer: H.Fischer MSC: 65H10 65G30 PDF BibTeX XML Cite \textit{R. B. Kearfott}, SIAM J. Numer. Anal. 27, No. 3, 804--822 (1990; Zbl 0713.65037) Full Text: DOI
Volkov, E. A. Numerical methods. Transl. from the Russian by K. P. Medkov. (Métodos numéricos.) (Spanish) Zbl 0742.65002 Moscow: Editorial Mir. 255 p. (1990). MSC: 65-01 00A06 65Hxx 65Lxx 65N22 65Bxx 65Fxx 65Dxx 65Gxx 65Mxx PDF BibTeX XML Cite \textit{E. A. Volkov}, Métodos numéricos (Spanish). Moscow: Editorial Mir (1990; Zbl 0742.65002)
Neumaier, Arnold Interval methods for systems of equations. (English) Zbl 0715.65030 Encyclopedia of Mathematics and its Applications, 37. Cambridge etc.: Cambridge University Press. xvi, 255 p. £35.00; $ 59.50 (1990). Reviewer: H.Ratschek MSC: 65G30 65-02 65F05 65F10 65H10 PDF BibTeX XML Cite \textit{A. Neumaier}, Interval methods for systems of equations. Cambridge etc.: Cambridge University Press (1990; Zbl 0715.65030) Full Text: DOI
Lian, Qingrong; Jin, Zhiying Convergence of the AOR method for solving linear interval equations. (Chinese. English summary) Zbl 0697.65021 J. Dalian Univ. Technol. 29, No. 3, 255-258 (1989). MSC: 65F10 65G30 PDF BibTeX XML Cite \textit{Q. Lian} and \textit{Z. Jin}, J. Dalian Univ. Technol. 29, No. 3, 255--258 (1989; Zbl 0697.65021)
Kearfott, R. Baker Interval mathematics techniques for control theory computations. (English) Zbl 0687.65073 Computation and control, Proc. Conf., Bozeman/MT 1988, Prog. Syst. Control Theory 1, 169-178 (1989). Reviewer: V.Arnăutu (Iaşi) MSC: 65K10 65G30 93C15 PDF BibTeX XML
de Adrade, Eliana X. L.; Marino, Heloisa H. Interval versions of iterative methods for the numerical solution of systems of linear algebraic equations. (Portuguese. English summary) Zbl 0674.65009 Bol. Soc. Parana. Mat. (2) 9, No. 2, 139-149 (1988). MSC: 65F10 65G30 PDF BibTeX XML Cite \textit{E. X. L. de Adrade} and \textit{H. H. Marino}, Bol. Soc. Parana. Mat., II. Sér. 9, No. 2, 139--149 (1988; Zbl 0674.65009)
You, Zhaoyong; Chen, Xiaojun A Seidel type two-sided interval iterative method for nonlinear systems. (Chinese. English summary) Zbl 0611.65035 Numer. Math., Nanjing 8, 274-282 (1986). Reviewer: Xinghua Wang MSC: 65H10 65G30 PDF BibTeX XML Cite \textit{Z. You} and \textit{X. Chen}, Numer. Math., Nanjing 8, 274--282 (1986; Zbl 0611.65035)
Petković, M. S.; Milovanović, G. V.; Stefanović, L. V. On the convergence order of an accelerated simultaneous method for polynomial complex zeros. (English) Zbl 0598.65024 Z. Angew. Math. Mech. 66, No. 5, T428-T429 (1986). MSC: 65H05 65G30 30C15 PDF BibTeX XML Cite \textit{M. S. Petković} et al., Z. Angew. Math. Mech. 66, T428--T429 (1986; Zbl 0598.65024)
Petković, Miodrag S.; Stefanović, Lidija V. On a second order method for the simultaneous inclusion of polynomial complex zeros in rectangular arithmetic. (English) Zbl 0582.65036 Computing 36, 249-261 (1986). MSC: 65H05 65G30 PDF BibTeX XML Cite \textit{M. S. Petković} and \textit{L. V. Stefanović}, Computing 36, 249--261 (1986; Zbl 0582.65036) Full Text: DOI
Hansen, E. R.; Greenberg, R. I. An interval Newton method. (English) Zbl 0526.65040 Appl. Math. Comput. 12, 89-98 (1983). MSC: 65H10 65G30 PDF BibTeX XML Cite \textit{E. R. Hansen} and \textit{R. I. Greenberg}, Appl. Math. Comput. 12, 89--98 (1983; Zbl 0526.65040) Full Text: DOI
Gay, David M. Solving interval linear equations. (English) Zbl 0497.65018 SIAM J. Numer. Anal. 19, 858-870 (1982). MSC: 65F10 65G30 PDF BibTeX XML Cite \textit{D. M. Gay}, SIAM J. Numer. Anal. 19, 858--870 (1982; Zbl 0497.65018) Full Text: DOI
Appelt, W. Ein Abbruchkriterium für das intervallarithmetische Gesamt- und Einzelschrittverfahren. (German) Zbl 0395.65014 Computing 20, 241-255 (1978). MSC: 65G30 65F10 PDF BibTeX XML Cite \textit{W. Appelt}, Computing 20, 241--255 (1978; Zbl 0395.65014) Full Text: DOI