Gautschi, Walter Another look at polynomials orthogonal relative to exponential integral weight functions. (English) Zbl 07621823 Numer. Algorithms 91, No. 4, 1547-1557 (2022). MSC: 65D30 33C47 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 91, No. 4, 1547--1557 (2022; Zbl 07621823) Full Text: DOI
Gautschi, Walter; Milovanović, Gradimir V. Orthogonal polynomials relative to weight functions of Prudnikov type. (English) Zbl 1490.33004 Numer. Algorithms 90, No. 1, 263-270 (2022). Reviewer: C. L. Parihar (Indore) MSC: 33C47 15B52 33-04 PDFBibTeX XMLCite \textit{W. Gautschi} and \textit{G. V. Milovanović}, Numer. Algorithms 90, No. 1, 263--270 (2022; Zbl 1490.33004) Full Text: DOI
Gautschi, Walter; Milovanović, Gradimir V. Orthogonal polynomials relative to a generalized Marchenko-Pastur probability measure. (English) Zbl 1486.33015 Numer. Algorithms 88, No. 3, 1233-1249 (2021). MSC: 33C47 15B52 PDFBibTeX XMLCite \textit{W. Gautschi} and \textit{G. V. Milovanović}, Numer. Algorithms 88, No. 3, 1233--1249 (2021; Zbl 1486.33015) Full Text: DOI
Gautschi, Walter; Hairer, Ernst On conjectures of Stenger in the theory of orthogonal polynomials. (English) Zbl 1499.33038 J. Inequal. Appl. 2019, Paper No. 159, 27 p. (2019). MSC: 33C45 15A18 30C15 26C10 PDFBibTeX XMLCite \textit{W. Gautschi} and \textit{E. Hairer}, J. Inequal. Appl. 2019, Paper No. 159, 27 p. (2019; Zbl 1499.33038) Full Text: DOI
Gautschi, Walter Correction to: “Sub-range Jacobi polynomials”. (English) Zbl 1454.65013 Numer. Algorithms 81, No. 2, 771 (2019). MSC: 65D20 33C45 33F05 65D32 41A55 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 81, No. 2, 771 (2019; Zbl 1454.65013) Full Text: DOI
Gautschi, Walter On the Ismail-Letessier-Askey monotonicity conjecture for zeros of ultraspherical polynomials. (English) Zbl 1411.33009 Nashed, M. Zuhair (ed.) et al., Frontiers in orthogonal polynomials and \(q\)-series. Papers based on the international conference, University of Central Florida, Orlando, FL, USA, May 10–12, 2015. Dedicated to Professor Mourad Ismail on his 70th birthday. Hackensack, NJ: World Scientific. Contemp. Math. Appl., Monogr. Expo. Lect. Notes 1, 251-266 (2018). MSC: 33C45 65D20 PDFBibTeX XMLCite \textit{W. Gautschi}, Contemp. Math. Appl., Monogr. Expo. Lect. Notes 1, 251--266 (2018; Zbl 1411.33009) Full Text: DOI
Gautschi, Walter; Milovanović, Gradimir V. Binet-type polynomials and their zeros. (English) Zbl 1406.33010 ETNA, Electron. Trans. Numer. Anal. 50, 52-70 (2018). MSC: 33C47 65D20 PDFBibTeX XMLCite \textit{W. Gautschi} and \textit{G. V. Milovanović}, ETNA, Electron. Trans. Numer. Anal. 50, 52--70 (2018; Zbl 1406.33010) Full Text: DOI Link
Gautschi, Walter On the zeros of subrange Jacobi polynomials. (English) Zbl 1403.33009 Numer. Algorithms 79, No. 3, 759-768 (2018). Reviewer: Richard B. Paris (Dundee) MSC: 33C47 65D20 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 79, No. 3, 759--768 (2018; Zbl 1403.33009) Full Text: DOI
Gautschi, Walter A software repository for orthogonal polynomials. (English) Zbl 1398.33001 Software - Environments - Tools 28. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-61197-522-2/ebook). viii, 60 p. (2018). MSC: 33-04 33C45 33F05 65D20 PDFBibTeX XMLCite \textit{W. Gautschi}, A software repository for orthogonal polynomials. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2018; Zbl 1398.33001)
Gautschi, Walter Polynomials orthogonal with respect to cardinal B-spline weight functions. (English) Zbl 1380.65050 Numer. Algorithms 76, No. 4, 1099-1107 (2017). MSC: 65D20 65G30 42C05 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 76, No. 4, 1099--1107 (2017; Zbl 1380.65050) Full Text: DOI
Gautschi, Walter Erratum to: “Sub-range Jacobi polynomials”. (English) Zbl 1472.65027 Numer. Algorithms 74, No. 2, 637 (2017). MSC: 65D20 33C45 33F05 65D32 41A55 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 74, No. 2, 637 (2017; Zbl 1472.65027) Full Text: DOI
Gautschi, Walter Monotonicity properties of the zeros of Freud and sub-range Freud polynomials: analytic and empirical results. (English) Zbl 1375.33021 Math. Comput. 86, No. 304, 855-864 (2017). Reviewer: József Sándor (Cluj-Napoca) MSC: 33C47 33F05 PDFBibTeX XMLCite \textit{W. Gautschi}, Math. Comput. 86, No. 304, 855--864 (2017; Zbl 1375.33021) Full Text: DOI
Gautschi, Walter Orthogonal polynomials in MATLAB: exercises and solutions. (English) Zbl 1369.33001 Software - Environments - Tools 26. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-61197-429-4/pbk; 978-1-61197-430-0/ebook). x, 335 p. (2016). MSC: 33-01 33-04 33C45 65D20 65Y15 68W30 PDFBibTeX XMLCite \textit{W. Gautschi}, Orthogonal polynomials in MATLAB: exercises and solutions. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2016; Zbl 1369.33001)
Gautschi, Walter Polynomials orthogonal with respect to exponential integrals. (English) Zbl 1329.33016 Numer. Algorithms 70, No. 1, 215-226 (2015). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C47 65D30 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 70, No. 1, 215--226 (2015; Zbl 1329.33016) Full Text: DOI
Gautschi, Walter Repeated modifications of orthogonal polynomials by linear divisors. (English) Zbl 1269.65024 Numer. Algorithms 63, No. 2, 369-383 (2013). MSC: 65D20 65D32 33C47 33F05 41A55 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 63, No. 2, 369--383 (2013; Zbl 1269.65024) Full Text: DOI
Gautschi, Walter Sub-range Jacobi polynomials. (English) Zbl 1257.65011 Numer. Algorithms 61, No. 4, 649-657 (2012); erratum ibid. 74, No. 2, 637 (2017); correction ibid. 81, No. 2, 771 (2019). MSC: 65D20 33C45 33F05 65D32 41A55 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 61, No. 4, 649--657 (2012; Zbl 1257.65011) Full Text: DOI
Gautschi, Walter Experimental mathematics involving orthogonal polynomials. (English) Zbl 1215.65041 Gautschi, Walter (ed.) et al., Approximation and computation. In honor of Gradimir V. Milovanović. Most papers based on the presentations at the international conference, Niš, Serbia, August 25–29, 2008. Dordrecht: Springer (ISBN 978-1-4419-6593-6/hbk; 978-1-4419-6594-3/ebook). Springer Optimization and Its Applications 42, 117-134 (2011). MSC: 65D20 65R10 65D32 33C45 33F05 41A55 44A15 PDFBibTeX XMLCite \textit{W. Gautschi}, Springer Optim. Appl. 42, 117--134 (2011; Zbl 1215.65041) Full Text: DOI
Gautschi, Walter The spiral of Theodorus, numerical analysis, and special functions. (English) Zbl 1201.01004 J. Comput. Appl. Math. 235, No. 4, 1042-1052 (2010). MSC: 01A20 30E05 33C47 51-03 65B10 65D30 65D32 PDFBibTeX XMLCite \textit{W. Gautschi}, J. Comput. Appl. Math. 235, No. 4, 1042--1052 (2010; Zbl 1201.01004) Full Text: DOI
Gautschi, Walter Gauss quadrature routines for two classes of logarithmic weight functions. (English) Zbl 1200.65019 Numer. Algorithms 55, No. 2-3, 265-277 (2010). MSC: 65D32 41A55 65D20 83C45 68W30 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 55, No. 2--3, 265--277 (2010; Zbl 1200.65019) Full Text: DOI
Gautschi, Walter How sharp is Bernstein’s inequality for Jacobi polynomials? (English) Zbl 1189.33016 ETNA, Electron. Trans. Numer. Anal. 36(2009-2010), 1-8 (2009). MSC: 33C45 41A17 PDFBibTeX XMLCite \textit{W. Gautschi}, ETNA, Electron. Trans. Numer. Anal. 36, 1--8 (2009; Zbl 1189.33016) Full Text: EuDML EMIS
Gautschi, Walter Variable-precision recurrence coefficients for nonstandard orthogonal polynomials. (English) Zbl 1178.65026 Numer. Algorithms 52, No. 3, 409-418 (2009). MSC: 65D20 33-04 33C47 65Y15 33F05 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 52, No. 3, 409--418 (2009; Zbl 1178.65026) Full Text: DOI
Gautschi, Walter New conjectured inequalities for zeros of Jacobi polynomials. (English) Zbl 1168.33001 Numer. Algorithms 50, No. 3, 293-296 (2009). Reviewer: Andrei A. Kapaev (St. Petersburg) MSC: 33C45 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 50, No. 3, 293--296 (2009; Zbl 1168.33001) Full Text: DOI
Gautschi, Walter On conjectured inequalities for zeros of Jacobi polynomials. (English) Zbl 1165.33009 Numer. Algorithms 50, No. 1, 93-96 (2009). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 33C45 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 50, No. 1, 93--96 (2009; Zbl 1165.33009) Full Text: DOI
Gautschi, Walter; Giordano, Carla Luigi Gatteschi’s work on asymptotics of special functions and their zeros. (English) Zbl 1170.26007 Numer. Algorithms 49, No. 1-4, 11-31 (2008). Reviewer: Thomas Stoll (Waterloo) MSC: 26C10 30C15 33C10 33C15 33C45 41A60 PDFBibTeX XMLCite \textit{W. Gautschi} and \textit{C. Giordano}, Numer. Algorithms 49, No. 1--4, 11--31 (2008; Zbl 1170.26007) Full Text: DOI
Gautschi, Walter On a conjectured inequality for the largest zero of Jacobi polynomials. (English) Zbl 1167.33003 Numer. Algorithms 49, No. 1-4, 195-198 (2008). Reviewer: Andrei A. Kapaev (St. Petersburg) MSC: 33C45 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 49, No. 1--4, 195--198 (2008; Zbl 1167.33003) Full Text: DOI
Gautschi, Walter; Leopardi, Paul Conjectured inequalities for Jacobi polynomials and their largest zeros. (English) Zbl 1124.33009 Numer. Algorithms 45, No. 1-4, 217-230 (2007). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C45 26D07 33F05 PDFBibTeX XMLCite \textit{W. Gautschi} and \textit{P. Leopardi}, Numer. Algorithms 45, No. 1--4, 217--230 (2007; Zbl 1124.33009) Full Text: DOI
Golub, Gene H. Chan, Raymond H. (ed.); Greif, Chen (ed.); O’Leary, Dianne P. (ed.) [Greenbaum, Anne; Björk, Åke; Higham, Nicholas; Gautschi, Walter; Stewart, G. W.] Milestones in matrix computation. The selected works of Gene H. Golub. With commentaries by Anne Greenbaum, Åke Björk, Nicholas Higham, Walter Gautschi and G. W. Stewart. Edited by Raymond H. Chan, Chen Greif, and Dianne P. O’Leary. (English) Zbl 1121.65031 Oxford: Oxford University Press (ISBN 978-0-19-920681-0/hbk). xi, 565 p. (2007). Reviewer: R. P. Tewarson (Stony Brook) MSC: 65F10 01A75 65F20 65F30 65F15 65D32 01A60 65-03 PDFBibTeX XMLCite \textit{G. H. Golub} et al., Milestones in matrix computation. The selected works of Gene H. Golub. With commentaries by Anne Greenbaum, Åke Björk, Nicholas Higham, Walter Gautschi and G. W. Stewart. Edited by Raymond H. Chan, Chen Greif, and Dianne P. O'Leary. Oxford: Oxford University Press (2007; Zbl 1121.65031)
Gautschi, Walter Orthogonal polynomials, quadrature, and approximation: computational methods and software (in Matlab). (English) Zbl 1101.41029 Marcellán, Francisco (ed.) et al., Orthogonal polynomials and special functions. Computation and applications. Lecture notes of the 5th European summer school, Madrid, Laganés, Spain, July 8–18, 2004. Berlin: Springer (ISBN 3-540-31062-2/pbk). Lecture Notes in Mathematics 1883, 1-77 (2006). Reviewer: Manfred Tasche (Rostock) MSC: 41A55 65T99 65D30 42C05 PDFBibTeX XMLCite \textit{W. Gautschi}, Lect. Notes Math. 1883, 1--77 (2006; Zbl 1101.41029)
Gautschi, Walter Computing polynomials orthogonal with respect to densely oscillating and exponentially decaying weight functions and related integrals. (English) Zbl 1076.65019 J. Comput. Appl. Math. 184, No. 2, 493-504 (2005). MSC: 65D20 42C05 PDFBibTeX XMLCite \textit{W. Gautschi}, J. Comput. Appl. Math. 184, No. 2, 493--504 (2005; Zbl 1076.65019) Full Text: DOI
Gautschi, Walter Orthogonal polynomials (in Matlab). (English) Zbl 1067.65023 J. Comput. Appl. Math. 178, No. 1-2, 215-234 (2005). MSC: 65D20 33C45 33F05 65Y15 68W30 PDFBibTeX XMLCite \textit{W. Gautschi}, J. Comput. Appl. Math. 178, No. 1--2, 215--234 (2005; Zbl 1067.65023) Full Text: DOI
Gautschi, Walter Orthogonal polynomials. Computation and approximation. (English) Zbl 1130.42300 Numerical Mathematics and Scientific Computation. Oxford: Oxford University Press (ISBN 0-19-850672-4/hbk). viii, 301 p. (2004). Reviewer: Leonid Golinskii (MR 2005e:42001) MSC: 42-02 33-02 42C05 33C45 33F05 PDFBibTeX XMLCite \textit{W. Gautschi}, Orthogonal polynomials. Computation and approximation. Oxford: Oxford University Press (2004; Zbl 1130.42300)
Gautschi, Walter The interplay between classical analysis and (numerical) linear algebra – a tribute to Gene H. Golub. (English) Zbl 1065.65049 ETNA, Electron. Trans. Numer. Anal. 13, 119-147 (2002). MSC: 65F10 65F15 65D32 33C45 15A45 65F20 PDFBibTeX XMLCite \textit{W. Gautschi}, ETNA, Electron. Trans. Numer. Anal. 13, 119--147 (2002; Zbl 1065.65049) Full Text: EuDML EMIS
Gautschi, Walter (ed.); Marcellán, Francisco (ed.); Reichel, Lothar (ed.) Numerical analysis 2000. (In 7 vols.) Vol. 5: Quadrature and orthogonal polynomials. Repr. from the Journal of Computational and Applied Mathematics 127, No. 1-2 (2000). Repr. from the Journal of Computational and Applied Mathematics 127, No. 1-2 (2000). (English) Zbl 0964.00018 Amsterdam: North-Holland/ Elsevier. xi, 368 p. (2001). MSC: 00B15 65-06 65Dxx 65D20 65D32 PDFBibTeX XMLCite \textit{W. Gautschi} (ed.) et al., Numerical analysis 2000. (In 7 vols.) Vol. 5: Quadrature and orthogonal polynomials. Repr. from the Journal of Computational and Applied Mathematics 127, No. 1-2 (2000). Amsterdam: North-Holland/ Elsevier (2001; Zbl 0964.00018)
Gautschi, Walter (ed.); Marcellán, Francisco (ed.); Reichel, Lothar (ed.) Numerical analysis in the 20th century. (In 7 vols.) Vol. 5: Quadrature and orthogonal polynomial. Special issue. (English) Zbl 0964.00016 J. Comput. Appl. Math. 127, No. 1-2, viii, 368 p. (2001). MSC: 00B15 65-06 65Dxx 65D20 65D32 PDFBibTeX XMLCite \textit{W. Gautschi} (ed.) et al., J. Comput. Appl. Math. 127, No. 1--2, viii, 368~p. (2001; Zbl 0964.00016) Full Text: DOI
Gautschi, Walter; Gori, Laura; Pitolli, Francesca Gauss quadrature for refineable weight functions. (English) Zbl 0954.65018 Appl. Comput. Harmon. Anal. 8, No. 3, 249-257 (2000). Reviewer: D.Acu (Sibiu) MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{W. Gautschi} et al., Appl. Comput. Harmon. Anal. 8, No. 3, 249--257 (2000; Zbl 0954.65018) Full Text: DOI
Gautschi, Walter Orthogonal polynomials and quadrature. (English) Zbl 0963.33004 ETNA, Electron. Trans. Numer. Anal. 9, 65-76 (1999). Reviewer: Luigi Gatteschi (Torino) MSC: 33C45 65D32 65F15 PDFBibTeX XMLCite \textit{W. Gautschi}, ETNA, Electron. Trans. Numer. Anal. 9, 65--76 (1999; Zbl 0963.33004) Full Text: EuDML EMIS
Gautschi, W. (ed.); Golub, G. H. (ed.); Opfer, G. (ed.) Applications and computation of orthogonal polynomials. Conference at the Mathematical Research Institute Oberwolfach, Germany, March 22–29, 1998. Dedicated to the memory of Günther Hämmerlin. (English) Zbl 0919.00065 ISNM. International Series of Numerical Mathematics. 131. Basel: Birkhäuser. xii, 268 p. (1999). MSC: 00B25 65-06 33-06 PDFBibTeX XMLCite \textit{W. Gautschi} (ed.) et al., Applications and computation of orthogonal polynomials. Conference at the Mathematical Research Institute Oberwolfach, Germany, March 22--29, 1998. Dedicated to the memory of Günther Hämmerlin. Basel: Birkhäuser (1999; Zbl 0919.00065)
Gautschi, Walter The incomplete gamma functions since Tricomi. (English) Zbl 0965.33001 Tricomi’s ideas and contemporary applied mathematics. Proceedings of the international conference held on the occasion of the 100th anniversary of the birth of Francesco G. Tricomi, Rome, Italy, November 28-29 and Turin, Italy, December 1-2, 1997. Rome: Accademia Nazionale dei Lincei, Atti Convegni Lincei. 147, 203-237 (1998). Reviewer: János Aczél (Waterloo/Ontario) MSC: 33-02 33B20 33-03 33C15 33C45 33F05 41A30 41A58 26A48 26D07 PDFBibTeX XMLCite \textit{W. Gautschi}, in: Tricomi's ideas and contemporary applied mathematics. Proceedings of the international conference held on the occasion of the 100th anniversary of the birth of Francesco G. Tricomi, Rome, Italy, November 28--29 and Turin, Italy, December 1--2, 1997. Rome: Accademia Nazionale dei Lincei. 203--237 (1998; Zbl 0965.33001)
Gautschi, Walter Remark on Algorithm 726: ORTHPOL – a package of routines for generating orthogonal polynomials and Gauss-type quadrature rules. (English) Zbl 0932.65018 ACM Trans. Math. Softw. 24, No. 3, 355 (1998). MSC: 65D20 42C05 65D32 41A55 PDFBibTeX XMLCite \textit{W. Gautschi}, ACM Trans. Math. Softw. 24, No. 3, 355 (1998; Zbl 0932.65018) Full Text: DOI arXiv
Gautschi, Walter On the computation of special Sobolev-type orthogonal polynomials. (English) Zbl 0887.65018 Ann. Numer. Math. 4, No. 1-4, 329-342 (1997). Reviewer: L.Gatteschi (Torino) MSC: 65D20 33C45 26C10 65H05 PDFBibTeX XMLCite \textit{W. Gautschi}, Ann. Numer. Math. 4, No. 1--4, 329--342 (1997; Zbl 0887.65018)
Gautschi, Walter; Kuijlaars, A. B. J. Zeros and critical points of Sobolev orthogonal polynomials. (English) Zbl 0897.42014 J. Approximation Theory 91, No. 1, 117-137 (1997). Reviewer: D.S.Lubinsky (Wits) MSC: 42C05 30E15 65D20 PDFBibTeX XMLCite \textit{W. Gautschi} and \textit{A. B. J. Kuijlaars}, J. Approx. Theory 91, No. 1, 117--137 (1997; Zbl 0897.42014) Full Text: DOI
Gautschi, Walter Orthogonal polynomials: Applications and computation. (English) Zbl 0871.65011 Iserles, A. (ed.), Acta Numerica Vol. 5, 1996. Cambridge: Cambridge University Press. 45-119 (1996). Reviewer: W.Govaerts (Gent) MSC: 65D20 42C05 65-02 65D05 65Q05 65D32 65B10 PDFBibTeX XMLCite \textit{W. Gautschi}, in: Acta Numerica Vol. 5, 1996. Cambridge: Cambridge University Press. 45--119 (1996; Zbl 0871.65011)
Gautschi, Walter; Notaris, Sotirios E. Stieltjes polynomials and related quadrature formulae for a class of weight functions. (English) Zbl 0853.41019 Math. Comput. 65, No. 215, 1257-1268 (1996). MSC: 41A55 33C45 65D32 PDFBibTeX XMLCite \textit{W. Gautschi} and \textit{S. E. Notaris}, Math. Comput. 65, No. 215, 1257--1268 (1996; Zbl 0853.41019) Full Text: DOI
Gautschi, Walter; Zhang, Minda Computing orthogonal polynomials in Sobolev spaces. (English) Zbl 0830.65012 Numer. Math. 71, No. 2, 159-183 (1995). Reviewer: Y.Kobayashi (Tottori) MSC: 65D20 42C05 PDFBibTeX XMLCite \textit{W. Gautschi} and \textit{M. Zhang}, Numer. Math. 71, No. 2, 159--183 (1995; Zbl 0830.65012) Full Text: DOI
Gautschi, Walter Applications and computation of orthogonal polynomials. (English) Zbl 0839.65018 Dikshit, H. P. (ed.) et al., Proceedings of the conference on advances in computational mathematics, held at New Delhi, India, January 5-9, 1993. Singapore: World Scientific. Ser. Approx. Decompos. 4, 251-256 (1994). MSC: 65D20 65D32 65B10 42C05 PDFBibTeX XMLCite \textit{W. Gautschi}, Ser. Approx. Decompos. 4, 251--256 (1994; Zbl 0839.65018)
Gautschi, W. Algorithm 726: ORTHPOL – a package for routines for generating orthogonal polynomials and Gauss-type quadrature rules. (English) Zbl 0888.65013 ACM Trans. Math. Softw. 20, No. 1, 21-62 (1994). MSC: 65D20 42C05 65Q05 65D32 65H05 PDFBibTeX XMLCite \textit{W. Gautschi}, ACM Trans. Math. Softw. 20, No. 1, 21--62 (1994; Zbl 0888.65013) Full Text: DOI Link
Gautschi, Walter Gauss-type quadrature rules for rational functions. (English) Zbl 0802.65019 Brass, H. (ed.) et al., Numerical integration IV. Proceedings of the conference at the Mathematical Research Institute, Oberwolfach, Germany, November 8-14, 1992. Berlin: Birkhäuser. ISNM, Int. Ser. Numer. Math. 112, 111-130 (1993). Reviewer: J.N.Lyness (Argonne) MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{W. Gautschi}, ISNM, Int. Ser. Numer. Math. 112, 111- 130 (1993; Zbl 0802.65019) Full Text: arXiv
Gautschi, Walter; Li, Shikang A set of orthogonal polynomials induced by a given orthogonal polynomial. (English) Zbl 0785.33004 Aequationes Math. 46, No. 1-2, 174-198 (1993). Reviewer: W.Van Assche (Heverlee) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{W. Gautschi} and \textit{S. Li}, Aequationes Math. 46, No. 1--2, 174--198 (1993; Zbl 0785.33004) Full Text: DOI EuDML
Gautschi, Walter Is the recurrence relation for orthogonal polynomials always stable? (English) Zbl 0783.65009 BIT 33, No. 2, 277-284 (1993). Reviewer: D.Braess (Bochum) MSC: 65D20 42C05 33C45 PDFBibTeX XMLCite \textit{W. Gautschi}, BIT 33, No. 2, 277--284 (1993; Zbl 0783.65009) Full Text: DOI
Gautschi, Walter On mean convergence of extended Lagrange interpolation. (English) Zbl 0761.41003 J. Comput. Appl. Math. 43, No. 1-2, 19-35 (1992). MSC: 41A05 42C05 PDFBibTeX XMLCite \textit{W. Gautschi}, J. Comput. Appl. Math. 43, No. 1--2, 19--35 (1992; Zbl 0761.41003) Full Text: DOI
Gautschi, Walter Computational problems and applications of orthogonal polynomials. (English) Zbl 0830.65011 Brezinski, Claude (ed.) et al., Orthogonal polynomials and their applications. Proceedings of the third international symposium held in Erice, Italy, June 1-8, 1990. Basel: J. C. Baltzer, IMACS Ann. Comput. Appl. Math. 9, 61-71 (1991). MSC: 65D20 65B10 65Q05 42C05 PDFBibTeX XMLCite \textit{W. Gautschi}, IMACS Ann. Comput. Appl. Math. 9, 61--71 (1991; Zbl 0830.65011)
Gautschi, Walter On certain slowly convergent series occurring in plate contact problems. (English) Zbl 0739.40003 Math. Comput. 57, No. 195, 325-338 (1991). Reviewer: W.Luther (Aachen) MSC: 40A25 44A10 33C45 PDFBibTeX XMLCite \textit{W. Gautschi}, Math. Comput. 57, No. 195, 325--338 (1991; Zbl 0739.40003) Full Text: DOI
Gautschi, Walter A class of slowly convergent series and their summation by Gaussian quadrature. (English) Zbl 0739.40002 Math. Comput. 57, No. 195, 309-324 (1991). Reviewer: W.Luther (Aachen) MSC: 40A25 44A10 65D30 33C45 PDFBibTeX XMLCite \textit{W. Gautschi}, Math. Comput. 57, No. 195, 309--324 (1991; Zbl 0739.40002) Full Text: DOI
Gautschi, Walter Some applications and numerical methods for orthogonal polynomials. (English) Zbl 0717.65011 Numerical analysis and mathematical modelling, Banach Cent. Publ. 24, 7-19 (1990). Reviewer: A.Laforgia MSC: 65D20 65D32 33C45 42C05 PDFBibTeX XML
Gautschi, Walter Orthogonal polynomials on the semicircle. (English) Zbl 0714.30009 Numerical analysis and mathematical modelling, Banach Cent. Publ. 24, 21-27 (1990). Reviewer: W.Van Assche MSC: 30C15 65D32 33C45 PDFBibTeX XML
Gautschi, Walter How (un)stable are Vandermonde systems? (English) Zbl 0707.15003 Asymptotic and computational analysis. Conference in honor of Frank W.J. Olver’s 65th birthday, Proc. Int. Symp., Winnipeg/Can. 1989, Lect. Notes Pure Appl. Math. 124, 193-210 (1990). Reviewer: M.Eiermann MSC: 15A12 65F35 15A60 PDFBibTeX XML
Gautschi, Walter Computational aspects of orthogonal polynomials. (English) Zbl 0697.42017 Orthogonal polynomials: theory and practice, Proc. NATO ASI, Colombus/OH (USA) 1989, NATO ASI Ser., Ser. C 294, 181-216 (1990). MSC: 42C05 PDFBibTeX XML
Gautschi, Walter Orthogonality - conventional and unconventional - in numerical analysis. (English) Zbl 0686.41022 Computation and control, Proc. Conf., Bozeman/MT 1988, Prog. Syst. Control Theory 1, 63-95 (1989). Reviewer: W.Gautschi MSC: 41A55 41A10 33C45 41A15 41A20 PDFBibTeX XML
Gautschi, Walter On the zeros of polynomials orthogonal on the semicircle. (English) Zbl 0676.30005 SIAM J. Math. Anal. 20, No. 3, 738-743 (1989). Reviewer: M.G.de Bruin MSC: 30C15 33C45 30C10 PDFBibTeX XMLCite \textit{W. Gautschi}, SIAM J. Math. Anal. 20, No. 3, 738--743 (1989; Zbl 0676.30005) Full Text: DOI
Gautschi, Walter; Notaris, Sotirios E. An algebraic study of Gauss-Kronrod quadrature formulae for Jacobi weight functions. (English) Zbl 0654.65017 Math. Comput. 51, No. 183, 231-248 (1988). Reviewer: G.Opfer MSC: 65D32 41A55 33C45 PDFBibTeX XMLCite \textit{W. Gautschi} and \textit{S. E. Notaris}, Math. Comput. 51, No. 183, 231--248 (1988; Zbl 0654.65017) Full Text: DOI
Gautschi, Walter; Landau, Henry J.; Milovanović, Gradimir V. Polynomials orthogonal on the semicircle. II. (English) Zbl 0658.42027 Constructive Approximation 3, 389-404 (1987). Reviewer: A.N.Srivastava MSC: 42C05 33E99 33C45 PDFBibTeX XMLCite \textit{W. Gautschi} et al., Constr. Approx. 3, 389--404 (1987; Zbl 0658.42027) Full Text: DOI
Frontini, Marco; Gautschi, Walter; Milovanović, Gradimir V. Moment-preserving spline approximation on finite intervals. (English) Zbl 0644.41005 Numer. Math. 50, 503-518 (1987). Reviewer: A.Bleyer MSC: 41A15 65D32 33C45 PDFBibTeX XMLCite \textit{M. Frontini} et al., Numer. Math. 50, 503--518 (1987; Zbl 0644.41005) Full Text: DOI EuDML
Gautschi, Walter On the sensitivity of orthogonal polynomials to perturbations in the moments. (English) Zbl 0613.65014 Numer. Math. 48, 369-382 (1986). Reviewer: Y.Kobayashi MSC: 65D20 33C45 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Math. 48, 369--382 (1986; Zbl 0613.65014) Full Text: DOI EuDML
Gautschi, Walter; Milovanović, Gradimir V. Polynomials orthogonal on the semicircle. (English) Zbl 0604.42024 J. Approximation Theory 46, 230-250 (1986). Reviewer: A.N.Srivastava MSC: 42C05 33C45 33C55 30C15 PDFBibTeX XMLCite \textit{W. Gautschi} and \textit{G. V. Milovanović}, J. Approx. Theory 46, 230--250 (1986; Zbl 0604.42024) Full Text: DOI
Gautschi, Walter; Milovanović, Gradimir V. Spline approximations to spherically symmetric distributions. (English) Zbl 0586.41009 Numer. Math. 49, 110-121 (1986). MSC: 41A15 33C45 PDFBibTeX XMLCite \textit{W. Gautschi} and \textit{G. V. Milovanović}, Numer. Math. 49, 110--121 (1986; Zbl 0586.41009) Full Text: DOI EuDML
Gautschi, Walter Some new applications of orthogonal polynomials. (English) Zbl 0658.42028 Polynômes orthogonaux et applications, Proc. Laguerre Symp., Bar-le- Duc/France 1984, Lect. Notes Math. 1171, 63-73 (1985). Reviewer: R.C.Singh Chandel MSC: 42C05 41A15 PDFBibTeX XML
Gautschi, Walter; Milovanović, Gradimir V. Polynomials orthogonal on the semicircle. (English) Zbl 0609.33009 Special functions: theory and computation, Int. Conf., Turin 1984, Rend. Semin. Mat., Torino, Fasc. Spec. 179-185 (1985). Reviewer: E.A.van Doorn MSC: 33C45 PDFBibTeX XML
Gautschi, Walter Orthogonal polynomials - Constructive theory and applications. (English) Zbl 0583.65011 J. Comput. Appl. Math. 12/13, 61-76 (1985). Reviewer: Gh.Marinescu MSC: 65D20 33C45 PDFBibTeX XMLCite \textit{W. Gautschi}, J. Comput. Appl. Math. 12/13, 61--76 (1985; Zbl 0583.65011) Full Text: DOI
Gautschi, Walter; Milovanović, Gradimir V. Gaussian quadrature involving Einstein and Fermi functions with an application to summation of series. (English) Zbl 0576.65011 Math. Comput. 44, 177-190 (1985). Reviewer: J.Prakash MSC: 65D32 65B10 33C45 41A55 PDFBibTeX XMLCite \textit{W. Gautschi} and \textit{G. V. Milovanović}, Math. Comput. 44, 177--190 (1985; Zbl 0576.65011) Full Text: DOI
Gautschi, Walter Questions of numerical condition related to polynomials. (English) Zbl 0584.65020 Studies in numerical analysis, MAA Stud. Math. 24, 140-177 (1984). MSC: 65H05 65F35 41A10 33C45 65J15 PDFBibTeX XMLCite \textit{W. Gautschi}, MAA Stud. Math. 24, 140--177 (1984; Zbl 0584.65020)
Gautschi, Walter; Milovanović, Gradimir V. On a class of complex polynomials having all zeros in a half disc. (English) Zbl 0556.30007 Numerical methods and approximation theory, Conf. Niš/Yugosl. 1984, 49-53 (1984). Reviewer: E.Zeheb MSC: 30C15 33C45 PDFBibTeX XML
Gautschi, Walter On some orthogonal polynomials of interest in theoretical chemistry. (English) Zbl 0547.65008 BIT 24, 473-483 (1984). MSC: 65D20 65Q05 33C45 65D32 41A55 PDFBibTeX XMLCite \textit{W. Gautschi}, BIT 24, 473--483 (1984; Zbl 0547.65008) Full Text: DOI
Gautschi, Walter On Padé approximants associated with Hamburger series. (English) Zbl 0571.41013 Calcolo 20, 111-127 (1983). Reviewer: J.Horváth MSC: 41A21 42C05 44A60 PDFBibTeX XMLCite \textit{W. Gautschi}, Calcolo 20, 111--127 (1983; Zbl 0571.41013) Full Text: DOI
Gautschi, Walter The condition of Vandermonde-like matrices involving orthogonal polynomials. (English) Zbl 0522.33005 Linear Algebra Appl. 52-53, 293-300 (1983). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{W. Gautschi}, Linear Algebra Appl. 52--53, 293--300 (1983; Zbl 0522.33005) Full Text: DOI
Gautschi, Walter An algorithmic implementation of the generalized Christoffel theorem. (English) Zbl 0518.65006 Numerical integration, Proc. Conf. Oberwolfach 1981, ISNM 57, 89-106 (1982). MSC: 65D32 41A55 33C45 PDFBibTeX XML
Gautschi, Walter Polynomials orthogonal with respect to the reciprocal gamma function. (English) Zbl 0484.65011 BIT 22, 387-389 (1982). MSC: 65D32 33C45 41A55 PDFBibTeX XMLCite \textit{W. Gautschi}, BIT 22, 387--389 (1982; Zbl 0484.65011) Full Text: DOI
Gautschi, Walter On generating orthogonal polynomials. (English) Zbl 0482.65011 SIAM J. Sci. Stat. Comput. 3, 289-317 (1982). MSC: 65D20 33C45 PDFBibTeX XMLCite \textit{W. Gautschi}, SIAM J. Sci. Stat. Comput. 3, 289--317 (1982; Zbl 0482.65011) Full Text: DOI
Gautschi, Walter Minimal solutions of three-term recurrence relations and orthogonal polynomials. (English) Zbl 0466.33008 Math. Comput. 36, 547-554 (1981). MSC: 33C45 39A10 65D20 65D30 PDFBibTeX XMLCite \textit{W. Gautschi}, Math. Comput. 36, 547--554 (1981; Zbl 0466.33008) Full Text: DOI
Costabile, F.; Gautschi, Walter Stime per difetto per gli zeri piu grandi dei polinomi ortogonali. (Italian) Zbl 0441.33016 Boll. Unione Mat. Ital., V. Ser., A 17, 516-522 (1980). MSC: 33C45 42C05 34M99 PDFBibTeX XMLCite \textit{F. Costabile} and \textit{W. Gautschi}, Boll. Unione Mat. Ital., V. Ser., A 17, 516--522 (1980; Zbl 0441.33016)
Gautschi, Walter Questions of numerical condition related to polynomials. (English) Zbl 0457.65026 Recent advances in numerical analysis, Proc. Symp., Madison/Wis. 1978, 45-72 (1978). MSC: 65H05 65F35 41A10 33C45 65J15 PDFBibTeX XML
Gautschi, Walter The condition of orthogonal polynomials. (English) Zbl 0261.33009 Math. Comput. 26, 923-924 (1972). MSC: 33C45 65G50 PDFBibTeX XMLCite \textit{W. Gautschi}, Math. Comput. 26, 923--924 (1972; Zbl 0261.33009) Full Text: DOI