Herzberger, Jürgen Explicit bounds for the positive root of classes of polynomials with applications. (English) Zbl 1018.65062 J. Comput. Appl. Math. 152, No. 1-2, 187-198 (2003). MSC: 65H05 12Y05 26C10 PDFBibTeX XMLCite \textit{J. Herzberger}, J. Comput. Appl. Math. 152, No. 1--2, 187--198 (2003; Zbl 1018.65062) Full Text: DOI
Herzberger, J.; Metzner, L. On the \(Q\)-order of convergence for coupled sequences arising in iterative numerical processes. (English) Zbl 0864.65035 Computing 57, No. 4, 357-363 (1996). Reviewer: D.Braess (Bochum) MSC: 65J15 65Y05 65F15 47J25 65H10 PDFBibTeX XMLCite \textit{J. Herzberger} and \textit{L. Metzner}, Computing 57, No. 4, 357--363 (1996; Zbl 0864.65035) Full Text: DOI
Atanassova, Lidiya Y.; Herzberger, Jürgen P. Lower bounds for the \(R\)-order of convergence of simultaneous inclusion methods for polynomial roots and related iteration methods. (English) Zbl 0837.65047 J. Comput. Appl. Math. 60, No. 1-2, 3-12 (1995). Reviewer: H.Kriete (Göttingen) MSC: 65H05 26C10 30C15 12Y05 PDFBibTeX XMLCite \textit{L. Y. Atanassova} and \textit{J. P. Herzberger}, J. Comput. Appl. Math. 60, No. 1--2, 3--12 (1995; Zbl 0837.65047) Full Text: DOI
Herzberger, J. Efficient algorithms for the inclusion of the inverse matrix using error- bounds for hyperpower methods. (English) Zbl 0753.65021 Computing 46, No. 4, 279-288 (1991). Reviewer: H.Fischer (München) MSC: 65F05 65F30 65G30 65Y20 PDFBibTeX XMLCite \textit{J. Herzberger}, Computing 46, No. 4, 279--288 (1991; Zbl 0753.65021) Full Text: DOI
Herzberger, J. On the convergence of an iterative method for bounding the inverses of an interval matrix. (English) Zbl 0663.65029 Computing 41, No. 1-2, 153-162 (1989). Reviewer: R.Angelov MSC: 65F10 65F05 65G30 PDFBibTeX XMLCite \textit{J. Herzberger}, Computing 41, No. 1--2, 153--162 (1989; Zbl 0663.65029) Full Text: DOI
Herzberger, J. On the monotonicity of higher-order interval iterations for bounding the inverse matrix. (English) Zbl 0663.65030 Computing 40, No. 4, 367-372 (1988). Reviewer: R.Angelov MSC: 65F10 65G30 65F05 PDFBibTeX XMLCite \textit{J. Herzberger}, Computing 40, No. 4, 367--372 (1988; Zbl 0663.65030) Full Text: DOI
Herzberger, Jürgen Ein effizienter Algorithmus zur iterativen Einschließung der inversen Matrix. (An efficient algorithm for the iterative inclusion of the inverse matrix). (German) Zbl 0632.65026 Apl. Mat. 32, 271-275 (1987). Reviewer: R.Krawczyk MSC: 65F10 65G30 PDFBibTeX XMLCite \textit{J. Herzberger}, Apl. Mat. 32, 271--275 (1987; Zbl 0632.65026) Full Text: EuDML
Herzberger, J. On the monotonicity of the interval versions of Schulz’s method. II. (English) Zbl 0618.65026 Computing 39, 371-375 (1987). MSC: 65F10 65F05 65G30 PDFBibTeX XMLCite \textit{J. Herzberger}, Computing 39, 371--375 (1987; Zbl 0618.65026) Full Text: DOI
Herzberger, J. Remarks on the interval version of Schulz’s method. (English) Zbl 0609.65013 Computing 39, 183-186 (1987). MSC: 65F05 65G30 PDFBibTeX XMLCite \textit{J. Herzberger}, Computing 39, 183--186 (1987; Zbl 0609.65013) Full Text: DOI
Herzberger, J. Bounds for the R-order of certain iterative numerical processes. (English) Zbl 0594.65032 BIT 26, 259-262 (1986). Reviewer: A.Neumaier MSC: 65H05 65J15 26C10 PDFBibTeX XMLCite \textit{J. Herzberger}, BIT 26, 259--262 (1986; Zbl 0594.65032) Full Text: DOI
Herzberger, J. On the R-order of some recurrences with applications to inclusion- methods. II. (English) Zbl 0589.65026 Computing 37, 255-259 (1986). MSC: 65F05 65F10 65G30 PDFBibTeX XMLCite \textit{J. Herzberger}, Computing 37, 255--259 (1986; Zbl 0589.65026) Full Text: DOI
Herzberger, J. On the R-order of some recurrences with applications to inclusion- methods. (English) Zbl 0572.65033 Computing 36, 175-180 (1986). MSC: 65H05 65G30 65F30 PDFBibTeX XMLCite \textit{J. Herzberger}, Computing 36, 175--180 (1986; Zbl 0572.65033) Full Text: DOI
Herzberger, J. Bemerkungen zu einem Verfahren von R. E. Moore. (German) Zbl 0264.65036 Z. angew. Math. Mech. 53, 356-358 (1973). MSC: 65H05 PDFBibTeX XMLCite \textit{J. Herzberger}, Z. Angew. Math. Mech. 53, 356--358 (1973; Zbl 0264.65036) Full Text: DOI
Herzberger, J. Über die Nullstellenbestimmung bei näherungsweise berechneten Funktionen. (German) Zbl 0251.65040 Computing 10, 23-31 (1972). MSC: 65H05 PDFBibTeX XMLCite \textit{J. Herzberger}, Computing 10, 23--31 (1972; Zbl 0251.65040) Full Text: DOI
Alefeld, G.; Herzberger, J. Nullstelleneinschließung mit dem Newton-Verfahren ohne Invertierung von Intervallmatrizen. (German) Zbl 0238.65024 Numer. Math. 19, 56-64 (1972). MSC: 65H10 PDFBibTeX XMLCite \textit{G. Alefeld} and \textit{J. Herzberger}, Numer. Math. 19, 56--64 (1972; Zbl 0238.65024) Full Text: DOI EuDML
Alefeld, G.; Herzberger, J. ALGOL-60 Algorithmen zur Auflösung linearer Gleichungssysteme mit Fehlererfassung. (German) Zbl 0212.17002 Computing 6, 28-34 (1970). MSC: 65F10 65Y20 65G30 65-04 PDFBibTeX XMLCite \textit{G. Alefeld} and \textit{J. Herzberger}, Computing 6, 28--34 (1970; Zbl 0212.17002) Full Text: DOI
Alefeld, Götz; Herzberger, Jürgen Verfahren höherer Ordnung zur iterativen Einschließung der inversen Matrix. (German) Zbl 0208.40101 Z. Angew. Math. Phys. 21, 819-824 (1970). MSC: 65F05 PDFBibTeX XMLCite \textit{G. Alefeld} and \textit{J. Herzberger}, Z. Angew. Math. Phys. 21, 819--824 (1970; Zbl 0208.40101) Full Text: DOI
Herzberger, J. Intervallmäßige Auswertung von Standardfunktionen in ALGOL-60. (German) Zbl 0206.46201 Computing 5, 377-384 (1970). MSC: 65G30 65Y20 65-04 PDFBibTeX XMLCite \textit{J. Herzberger}, Computing 5, 377--384 (1970; Zbl 0206.46201) Full Text: DOI
Herzberger, J. Definition und Eigenschaften allgemeiner Intervallräume. (German) Zbl 0199.49603 Z. Angew. Math. Mech. 50, Sonderheft, T50-T51 (1970). PDFBibTeX XMLCite \textit{J. Herzberger}, Z. Angew. Math. Mech. 50, T50--T51 (1970; Zbl 0199.49603) Full Text: DOI