Mitchell, Tim; Overton, Michael L. An experimental comparison of methods for computing the numerical radius. (English) Zbl 07820995 Results Appl. Math. 21, Article ID 100434, 4 p. (2024). MSC: 47-08 47A12 65F35 90C22 PDFBibTeX XMLCite \textit{T. Mitchell} and \textit{M. L. Overton}, Results Appl. Math. 21, Article ID 100434, 4 p. (2024; Zbl 07820995) Full Text: DOI arXiv
Werner, Steffen W. R.; Overton, Michael L.; Peherstorfer, Benjamin Multifidelity robust controller design with gradient sampling. (English) Zbl 1517.37093 SIAM J. Sci. Comput. 45, No. 2, A933-A957 (2023). MSC: 37N35 37N40 93B36 93D09 65K10 90C30 90C59 PDFBibTeX XMLCite \textit{S. W. R. Werner} et al., SIAM J. Sci. Comput. 45, No. 2, A933--A957 (2023; Zbl 1517.37093) Full Text: DOI arXiv
Overton, Michael L.; Yu, Pinze On the Choice of Sign Defining Householder Transformations. arXiv:2309.02443 Preprint, arXiv:2309.02443 [math.NA] (2023). MSC: 65F05 BibTeX Cite \textit{M. L. Overton} and \textit{P. Yu}, ``On the Choice of Sign Defining Householder Transformations'', Preprint, arXiv:2309.02443 [math.NA] (2023) Full Text: arXiv OA License
Asl, Azam; Overton, Michael L. Analysis of limited-memory BFGS on a class of nonsmooth convex functions. (English) Zbl 1464.65060 IMA J. Numer. Anal. 41, No. 1, 1-27 (2021). MSC: 65K10 PDFBibTeX XMLCite \textit{A. Asl} and \textit{M. L. Overton}, IMA J. Numer. Anal. 41, No. 1, 1--27 (2021; Zbl 1464.65060) Full Text: DOI arXiv
Greenbaum, Anne; Li, Ren-Cang; Overton, Michael L. First-order perturbation theory for eigenvalues and eigenvectors. (English) Zbl 1516.15006 SIAM Rev. 62, No. 2, 463-482 (2020). MSC: 15A18 65F15 15A60 47A55 PDFBibTeX XMLCite \textit{A. Greenbaum} et al., SIAM Rev. 62, No. 2, 463--482 (2020; Zbl 1516.15006) Full Text: DOI arXiv
Asl, Azam; Overton, Michael L. Analysis of the gradient method with an Armijo-Wolfe line search on a class of non-smooth convex functions. (English) Zbl 1437.90124 Optim. Methods Softw. 35, No. 2, 223-242 (2020). MSC: 90C25 65K05 PDFBibTeX XMLCite \textit{A. Asl} and \textit{M. L. Overton}, Optim. Methods Softw. 35, No. 2, 223--242 (2020; Zbl 1437.90124) Full Text: DOI arXiv
Guglielmi, N.; Gürbüzbalaban, M.; Mitchell, T.; Overton, M. L. Approximating the real structured stability radius with Frobenius-norm bounded perturbations. (English) Zbl 1379.65040 SIAM J. Matrix Anal. Appl. 38, No. 4, 1323-1353 (2017). MSC: 65K10 93D09 93C55 93C05 65F50 93D25 PDFBibTeX XMLCite \textit{N. Guglielmi} et al., SIAM J. Matrix Anal. Appl. 38, No. 4, 1323--1353 (2017; Zbl 1379.65040) Full Text: DOI arXiv
Curtis, Frank E.; Mitchell, Tim; Overton, Michael L. A BFGS-SQP method for nonsmooth, nonconvex, constrained optimization and its evaluation using relative minimization profiles. (English) Zbl 1364.90359 Optim. Methods Softw. 32, No. 1, 148-181 (2017). MSC: 90C55 90C26 65K05 PDFBibTeX XMLCite \textit{F. E. Curtis} et al., Optim. Methods Softw. 32, No. 1, 148--181 (2017; Zbl 1364.90359) Full Text: DOI
Mitchell, Tim; Overton, Michael L. Hybrid expansion-contraction: a robust scaleable method for approximating the \(H_{\infty}\) norm. (English) Zbl 1433.93100 IMA J. Numer. Anal. 36, No. 3, 985-1014 (2016). MSC: 93D09 65K10 93B36 PDFBibTeX XMLCite \textit{T. Mitchell} and \textit{M. L. Overton}, IMA J. Numer. Anal. 36, No. 3, 985--1014 (2016; Zbl 1433.93100) Full Text: DOI
Guglielmi, Nicola; Overton, Michael L.; Stewart, G. W. An efficient algorithm for computing the generalized null space decomposition. (English) Zbl 1327.65072 SIAM J. Matrix Anal. Appl. 36, No. 1, 38-54 (2015). MSC: 65F15 65F30 PDFBibTeX XMLCite \textit{N. Guglielmi} et al., SIAM J. Matrix Anal. Appl. 36, No. 1, 38--54 (2015; Zbl 1327.65072) Full Text: DOI
Lewis, Adrian S.; Overton, Michael L. Nonsmooth optimization via quasi-Newton methods. (English) Zbl 1280.90118 Math. Program. 141, No. 1-2 (A), 135-163 (2013). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{A. S. Lewis} and \textit{M. L. Overton}, Math. Program. 141, No. 1--2 (A), 135--163 (2013; Zbl 1280.90118) Full Text: DOI
Guglielmi, Nicola; Gürbüzbalaban, Mert; Overton, Michael L. Fast approximation of the \(H_\infty\) norm via optimization over spectral value sets. (English) Zbl 1271.93057 SIAM J. Matrix Anal. Appl. 34, No. 2, 709-737 (2013). MSC: 93B40 93B25 93B60 93C05 93C80 65F15 15A18 90C06 93C55 65F50 PDFBibTeX XMLCite \textit{N. Guglielmi} et al., SIAM J. Matrix Anal. Appl. 34, No. 2, 709--737 (2013; Zbl 1271.93057) Full Text: DOI
Blondel, Vincent D.; Gürbüzbalaban, Mert; Megretski, Alexandre; Overton, Michael L. Explicit solutions for root optimization of a polynomial family with one affine constraint. (English) Zbl 1369.93220 IEEE Trans. Autom. Control 57, No. 12, 3078-3089 (2012). MSC: 93B55 65H04 PDFBibTeX XMLCite \textit{V. D. Blondel} et al., IEEE Trans. Autom. Control 57, No. 12, 3078--3089 (2012; Zbl 1369.93220) Full Text: DOI
Curtis, Frank E.; Overton, Michael L. A sequential quadratic programming algorithm for nonconvex, nonsmooth constrained optimization. (English) Zbl 1246.49031 SIAM J. Optim. 22, No. 2, 474-500 (2012). MSC: 49M37 65K05 65K10 90C26 90C30 90C55 PDFBibTeX XMLCite \textit{F. E. Curtis} and \textit{M. L. Overton}, SIAM J. Optim. 22, No. 2, 474--500 (2012; Zbl 1246.49031) Full Text: DOI
Gürbüzbalaban, Mert; Overton, Michael L. Some regularity results for the pseudospectral abscissa and pseudospectral radius of a matrix. (English) Zbl 1253.15010 SIAM J. Optim. 22, No. 2, 281-285 (2012). MSC: 15A18 93D09 49J52 65K10 90C26 PDFBibTeX XMLCite \textit{M. Gürbüzbalaban} and \textit{M. L. Overton}, SIAM J. Optim. 22, No. 2, 281--285 (2012; Zbl 1253.15010) Full Text: DOI
Guglielmi, Nicola; Overton, Michael L. Fast algorithms for the approximation of the pseudospectral abscissa and pseudospectral radius of a matrix. (English) Zbl 1248.65034 SIAM J. Matrix Anal. Appl. 32, No. 4, 1166-1192 (2011). Reviewer: R. Militaru (Craiova) MSC: 65F05 65F50 PDFBibTeX XMLCite \textit{N. Guglielmi} and \textit{M. L. Overton}, SIAM J. Matrix Anal. Appl. 32, No. 4, 1166--1192 (2011; Zbl 1248.65034) Full Text: DOI Link
Alam, Rafikul; Bora, Shreemayee; Byers, Ralph; Overton, Michael L. Characterization and construction of the nearest defective matrix via coalescence of pseudospectral components. (English) Zbl 1228.65062 Linear Algebra Appl. 435, No. 3, 494-513 (2011). Reviewer: Edgar Pereira (Covilha) MSC: 65F30 65F15 PDFBibTeX XMLCite \textit{R. Alam} et al., Linear Algebra Appl. 435, No. 3, 494--513 (2011; Zbl 1228.65062) Full Text: DOI
Greif, Chen; Overton, Michael L. An analysis of low-rank modifications of preconditioners for saddle point systems. (English) Zbl 1205.65142 ETNA, Electron. Trans. Numer. Anal. 37, 307-320 (2010). MSC: 65F08 65F10 90C22 PDFBibTeX XMLCite \textit{C. Greif} and \textit{M. L. Overton}, ETNA, Electron. Trans. Numer. Anal. 37, 307--320 (2010; Zbl 1205.65142) Full Text: EuDML EMIS
Deng, Zhiming; Gu, Ming; Overton, Michael L. Structured primal-dual interior-point methods for banded semidefinite programming. (English) Zbl 1193.65097 Ball, Joseph A. (ed.) et al., Topics in operator theory. Volume 1: Operators, matrices and analytic functions. Proceedings of the 19th international workshop on operator theory and applications (IWOTA), College of William and Mary, Williamsburg, VA, USA, July 22–26, 2008. A tribute to Israel Gohberg on the occasion of his 80th birthday. Basel: Birkhäuser (ISBN 978-3-0346-0157-3/hbk; 978-3-0346-0163-4/set; 978-3-0346-0158-0/ebook). Operator Theory: Advances and Applications 202, 111-141 (2010). MSC: 65K05 90C22 90C51 65F50 PDFBibTeX XMLCite \textit{Z. Deng} et al., Oper. Theory: Adv. Appl. 202, 111--141 (2010; Zbl 1193.65097)
Burke, J. V.; Lewis, A. S.; Overton, M. L. The speed of Shor’s r-algorithm. (English) Zbl 1185.90166 IMA J. Numer. Anal. 28, No. 4, 711-720 (2008). MSC: 90C26 90C60 90C56 65K05 PDFBibTeX XMLCite \textit{J. V. Burke} et al., IMA J. Numer. Anal. 28, No. 4, 711--720 (2008; Zbl 1185.90166) Full Text: DOI Link
Burke, J. V.; Lewis, A. S.; Overton, M. L. Convexity and Lipschitz behavior of small pseudospectra. (English) Zbl 1153.15013 SIAM J. Matrix Anal. Appl. 29, No. 2, 586-595 (2007). Reviewer: John D. Dixon (Ottawa) MSC: 15A18 65K05 90C30 93D09 PDFBibTeX XMLCite \textit{J. V. Burke} et al., SIAM J. Matrix Anal. Appl. 29, No. 2, 586--595 (2007; Zbl 1153.15013) Full Text: DOI
Gade, Kranthi K.; Overton, Michael L. Optimizing the asymptotic convergence rate of the Diaconis-Holmes-Neal sampler. (English) Zbl 1156.60058 Adv. Appl. Math. 38, No. 3, 382-403 (2007). Reviewer: R. E. Maiboroda (Kyïv) MSC: 60J22 60J10 65C05 PDFBibTeX XMLCite \textit{K. K. Gade} and \textit{M. L. Overton}, Adv. Appl. Math. 38, No. 3, 382--403 (2007; Zbl 1156.60058) Full Text: DOI
Gu, M.; Mengi, E.; Overton, M. L.; Xia, J.; Zhu, J. Fast methods for estimating the distance to uncontrollability. (English) Zbl 1115.65069 SIAM J. Matrix Anal. Appl. 28, No. 2, 477-502 (2006). Reviewer: Mikhail I. Krastanov (Sofia) MSC: 65K10 65F15 93B05 PDFBibTeX XMLCite \textit{M. Gu} et al., SIAM J. Matrix Anal. Appl. 28, No. 2, 477--502 (2006; Zbl 1115.65069) Full Text: DOI
Gu, Ming; Overton, Michael L. An algorithm to compute Sep\(_{\lambda}\). (English) Zbl 1113.65031 SIAM J. Matrix Anal. Appl. 28, No. 2, 348-359 (2006). MSC: 65F15 15A42 15A22 PDFBibTeX XMLCite \textit{M. Gu} and \textit{M. L. Overton}, SIAM J. Matrix Anal. Appl. 28, No. 2, 348--359 (2006; Zbl 1113.65031) Full Text: DOI
Burke, James V.; Lewis, Adrian S.; Overton, Michael L. Variational analysis of functions of the roots of polynomials. (English) Zbl 1093.90078 Math. Program. 104, No. 2-3 (B), 263-292 (2005). MSC: 90C46 49K40 65K05 15A42 PDFBibTeX XMLCite \textit{J. V. Burke} et al., Math. Program. 104, No. 2--3 (B), 263--292 (2005; Zbl 1093.90078) Full Text: DOI
Mengi, Emre; Overton, Michael L. Algorithm for the computation of the pseudospectral radius and the numerical radius of a matrix. (English) Zbl 1082.65043 IMA J. Numer. Anal. 25, No. 4, 648-669 (2005). Reviewer: E. Kreyszig (Ottawa) MSC: 65F15 65F30 15A60 PDFBibTeX XMLCite \textit{E. Mengi} and \textit{M. L. Overton}, IMA J. Numer. Anal. 25, No. 4, 648--669 (2005; Zbl 1082.65043) Full Text: DOI
Burke, James V.; Lewis, Adrian S.; Overton, Michael L. A robust gradient sampling algorithm for nonsmooth, nonconvex optimization. (English) Zbl 1078.65048 SIAM J. Optim. 15, No. 3, 751-779 (2005). Reviewer: Constantin Popa (Constanta) MSC: 65K05 90C26 PDFBibTeX XMLCite \textit{J. V. Burke} et al., SIAM J. Optim. 15, No. 3, 751--779 (2005; Zbl 1078.65048) Full Text: DOI
Burke, J. V.; Lewis, A. S.; Overton, M. L. Pseudospectral components and the distance to uncontrollability. (English) Zbl 1078.93008 SIAM J. Matrix Anal. Appl. 26, No. 2, 350-361 (2004). Reviewer: Ralf Gramlich (Darmstadt) MSC: 93B05 15A18 65F15 PDFBibTeX XMLCite \textit{J. V. Burke} et al., SIAM J. Matrix Anal. Appl. 26, No. 2, 350--361 (2004; Zbl 1078.93008) Full Text: DOI
Burke, J. V.; Lewis, A. S.; Overton, M. L. Robust stability and a criss-cross algorithm for pseudospectra. (English) Zbl 1042.65060 IMA J. Numer. Anal. 23, No. 3, 359-375 (2003). Reviewer: Guido Vanden Berghe (Gent) MSC: 65L15 65L20 PDFBibTeX XMLCite \textit{J. V. Burke} et al., IMA J. Numer. Anal. 23, No. 3, 359--375 (2003; Zbl 1042.65060) Full Text: DOI Link
Burke, J. V.; Lewis, A. S.; Overton, M. L. Optimization and pseudospectra, with applications to robust stability. (English) Zbl 1061.15007 SIAM J. Matrix Anal. Appl. 25, No. 1, 80-104 (2003). MSC: 15A18 65F15 93D09 PDFBibTeX XMLCite \textit{J. V. Burke} et al., SIAM J. Matrix Anal. Appl. 25, No. 1, 80--104 (2003; Zbl 1061.15007) Full Text: DOI
Overton, Michael L. Numerical computing with IEEE floating point arithmetic. Incl. one theorem, one rule of thumb, and one hundred exercises. Translated from the Spanish by Alejandro Casares Maldonada. (Cómputo numérico con aritmética de punto flotante IEEE. Con un teorema, una regla empírica y ciento un ejercicios.) (Spanish) Zbl 1008.68055 Aportaciones Matematicas, Textos. 19 (Nivel Medio). Mexico: Sociedad Matemática Mexicana. Philadelphia, PA: SIAM. ix, 123 p. (2002). MSC: 68Q17 65G99 68-04 68W30 PDFBibTeX XMLCite \textit{M. L. Overton}, Cómputo numérico con aritmética de punto flotante IEEE. Con un teorema, una regla empírica y ciento un ejercicios (Spanish). Mexico: Sociedad Matemática Mexicana; Philadelphia, PA: SIAM (2002; Zbl 1008.68055)
Burke, James V.; Lewis, Adrian S.; Overton, Michael L. Two numerical methods for optimizing matrix stability. (English) Zbl 1005.65041 Linear Algebra Appl. 351-352, 117-145 (2002). Reviewer: Amin Boumenir (Carrollton) MSC: 65F30 15A42 65K10 93D09 PDFBibTeX XMLCite \textit{J. V. Burke} et al., Linear Algebra Appl. 351--352, 117--145 (2002; Zbl 1005.65041) Full Text: DOI
Burke, J. V.; Lewis, A. S.; Overton, M. L. Optimal stability and eigenvalue multiplicity. (English) Zbl 0994.15022 Found. Comput. Math. 1, No. 2, 205-225 (2001). Reviewer: Alan L.Andrew (Bundoora) MSC: 15A42 93D09 15A21 65F15 49K30 PDFBibTeX XMLCite \textit{J. V. Burke} et al., Found. Comput. Math. 1, No. 2, 205--225 (2001; Zbl 0994.15022) Full Text: DOI
Overton, Michael L. Numerical computing with IEEE floating point arithmetic. Incl. one theorem, one rule of thumb, and one hundred and one exercises. (English) Zbl 0981.68057 Philadelphia, PA: SIAM. xi, 104 p. (2001). Reviewer: A.Samaras MSC: 68Q17 65G99 68-04 68W30 PDFBibTeX XMLCite \textit{M. L. Overton}, Numerical computing with IEEE floating point arithmetic. Incl. one theorem, one rule of thumb, and one hundred and one exercises. Philadelphia, PA: SIAM (2001; Zbl 0981.68057) Full Text: DOI
Burke, J. V.; Lewis, A. S.; Overton, M. L. Optimizing matrix stability. (English) Zbl 0965.15020 Proc. Am. Math. Soc. 129, No. 6, 1635-1642 (2001). Reviewer: Václav Burjan (Praha) MSC: 15A42 15A21 65F15 49K30 PDFBibTeX XMLCite \textit{J. V. Burke} et al., Proc. Am. Math. Soc. 129, No. 6, 1635--1642 (2001; Zbl 0965.15020) Full Text: DOI
Andersen, Knud D.; Christiansen, Edmund; Conn, Andrew R.; Overton, Michael L. An efficient primal-dual interior-point method for minimizing a sum of Euclidean norms. (English) Zbl 0966.65053 SIAM J. Sci. Comput. 22, No. 1, 243-262 (2000). Reviewer: Stefan Mititelu (Bucureşti) MSC: 65K05 74P10 90C06 90C25 90C51 PDFBibTeX XMLCite \textit{K. D. Andersen} et al., SIAM J. Sci. Comput. 22, No. 1, 243--262 (2000; Zbl 0966.65053) Full Text: DOI
Alizadeh, Farid; Haeberly, Jean-Pierre A.; Overton, Michael L. Primal-dual interior-point methods for semidefinite programming: Convergence rates, stability and numerical results. (English) Zbl 0911.65047 SIAM J. Optim. 8, No. 3, 746-768 (1998). Reviewer: J.Guddat (Berlin) MSC: 65K05 90C25 PDFBibTeX XMLCite \textit{F. Alizadeh} et al., SIAM J. Optim. 8, No. 3, 746--768 (1998; Zbl 0911.65047) Full Text: DOI
Andersen, Knud D.; Christiansen, Edmund; Overton, Michael L. Computing limit loads by minimizing a sum of norms. (English) Zbl 0924.73074 SIAM J. Sci. Comput. 19, No. 3, 1046-1062 (1998). Reviewer: A.Žilinskas (Vilnius) MSC: 74R20 74S05 65K10 74S30 74P10 PDFBibTeX XMLCite \textit{K. D. Andersen} et al., SIAM J. Sci. Comput. 19, No. 3, 1046--1062 (1998; Zbl 0924.73074) Full Text: DOI
Moro, Julio; Burke, James V.; Overton, Michael L. On the Lidskii-Vishik-Lyusternik perturbation theory for eigenvalues of matrices with arbitrary Jordan structure. (English) Zbl 0889.15016 SIAM J. Matrix Anal. Appl. 18, No. 4, 793-817 (1997). Reviewer: Z.Dostal (Ostrava) MSC: 15A42 15A18 15A12 65F35 65F15 34D10 PDFBibTeX XMLCite \textit{J. Moro} et al., SIAM J. Matrix Anal. Appl. 18, No. 4, 793--817 (1997; Zbl 0889.15016) Full Text: DOI
Lewis, Adrian S.; Overton, Michael L. Eigenvalue optimization. (English) Zbl 0870.65047 Iserles, A. (ed.), Acta Numerica Vol. 5, 1996. Cambridge: Cambridge University Press. 149-190 (1996). Reviewer: J.F.Bonnans (Le Chesnay) MSC: 65K05 90C25 15A39 PDFBibTeX XMLCite \textit{A. S. Lewis} and \textit{M. L. Overton}, in: Acta Numerica Vol. 5, 1996. Cambridge: Cambridge University Press. 149--190 (1996; Zbl 0870.65047)
Overton, Michael L.; Womersley, Robert S. Second derivatives for optimizing eigenvalues of symmetric matrices. (English) Zbl 0832.65036 SIAM J. Matrix Anal. Appl. 16, No. 3, 697-718 (1995). Reviewer: A.L.Andrew (Bundoora) MSC: 65F15 65K05 90C20 90C25 PDFBibTeX XMLCite \textit{M. L. Overton} and \textit{R. S. Womersley}, SIAM J. Matrix Anal. Appl. 16, No. 3, 697--718 (1995; Zbl 0832.65036) Full Text: DOI
Alizadeh, Farid; Haeberly, Jean-Pierre A.; Overton, Michael L. A new primal-dual interior-point method for semidefinite programming. (English) Zbl 0819.65098 Lewis, John G. (ed.), Applied linear algebra. Proceedings of the 5th SIAM conference, held in Snowbird, UT, USA, June 15-18, 1994. Philadelphia, PA: SIAM. 113-117 (1994). MSC: 65K05 90C25 PDFBibTeX XMLCite \textit{F. Alizadeh} et al., in: Applied linear algebra. Proceedings of the 5th SIAM conference, held in Snowbird, UT, USA, June 15-18, 1994. Philadelphia, PA: SIAM. 113--117 (1994; Zbl 0819.65098)
Haeberly, Jean-Pierre A.; Overton, Michael L. A hybrid algorithm for optimizing eigenvalues of symmetric definite pencils. (English) Zbl 0808.65036 SIAM J. Matrix Anal. Appl. 15, No. 4, 1141-1156 (1994). Reviewer: W.Heinrichs (Düsseldorf) MSC: 65F15 15A22 PDFBibTeX XMLCite \textit{J.-P. A. Haeberly} and \textit{M. L. Overton}, SIAM J. Matrix Anal. Appl. 15, No. 4, 1141--1156 (1994; Zbl 0808.65036) Full Text: DOI
Overton, Michael L. Large-scale optimization of eigenvalues. (English) Zbl 0757.65072 SIAM J. Optim. 2, No. 1, 88-120 (1992). Reviewer: F.Luban (Bucureşti) MSC: 65K05 90C26 90C06 PDFBibTeX XMLCite \textit{M. L. Overton}, SIAM J. Optim. 2, No. 1, 88--120 (1992; Zbl 0757.65072) Full Text: DOI
Overton, Michael L. Numerical computation: The state of the art. (English) Zbl 0746.65002 Mathematical vistas, Pap. Math. Sect., Ann. N. Y. Acad. Sci. 607, 116-127 (1990). Reviewer: V.Mehrmann (Bielefeld) MSC: 65-01 65-03 65Fxx 65-02 65Y20 65G50 01A65 PDFBibTeX XMLCite \textit{M. L. Overton}, in: Mathematical vistas. Papers from the Mathematics Section. New York: New York Academy of Sciences. 116--127 (1990; Zbl 0746.65002)
Gurwitz, Chaya Bleich; Overton, Michael L. Sequential quadratic programming methods based on approximating a projected Hessian matrix. (English) Zbl 0686.65033 SIAM J. Sci. Stat. Comput. 10, No. 4, 631-653 (1989). Reviewer: T.F.Coleman MSC: 65K05 90C30 90C20 PDFBibTeX XMLCite \textit{C. B. Gurwitz} and \textit{M. L. Overton}, SIAM J. Sci. Stat. Comput. 10, No. 4, 631--653 (1989; Zbl 0686.65033) Full Text: DOI
Overton, Michael L.; Womersley, Robert S. On minimizing the spectral radius of a nonsymmetric matrix function: Optimality conditions and duality theory. (English) Zbl 0684.65062 SIAM J. Matrix Anal. Appl. 9, No. 4, 473-498 (1988). Reviewer: M.Jung MSC: 65K05 65F30 65F15 90C25 PDFBibTeX XMLCite \textit{M. L. Overton} and \textit{R. S. Womersley}, SIAM J. Matrix Anal. Appl. 9, No. 4, 473--498 (1988; Zbl 0684.65062) Full Text: DOI
Overton, Michael L. On minimizing the maximum eigenvalue of a symmetric matrix. (English) Zbl 0669.65052 Linear algebra in signals, systems, and control, Proc. SIAM Conf., Boston/Mass. 1986, 150-169 (1988). Reviewer: F.Flandoli MSC: 65K05 65F15 65F30 PDFBibTeX XML
Overton, Michael L. Some remarks on inverse and extremal eigenvalue problems. (English) Zbl 0665.65035 Special program on inverse problems, Proc. Cent. Math. Anal. Aust. Natl. Univ. 17, 80-91 (1988). Reviewer: P.C.Hansen MSC: 65F15 65K05 PDFBibTeX XML
Golub, Gene H.; Overton, Michael L. The convergence of inexact Chebyshev and Richardson iterative methods for solving linear systems. (English) Zbl 0661.65033 Numer. Math. 53, No. 5, 571-593 (1988). Reviewer: O.Hübner MSC: 65F10 PDFBibTeX XMLCite \textit{G. H. Golub} and \textit{M. L. Overton}, Numer. Math. 53, No. 5, 571--593 (1988; Zbl 0661.65033) Full Text: DOI EuDML
Overton, Michael L. On minimizing the maximum eigenvalue of a symmetric matrix. (English) Zbl 0647.65044 SIAM J. Matrix Anal. Appl. 9, No. 2, 256-268 (1988). Reviewer: I.Dvořák MSC: 65K10 90C25 65F15 15A18 PDFBibTeX XMLCite \textit{M. L. Overton}, SIAM J. Matrix Anal. Appl. 9, No. 2, 256--268 (1988; Zbl 0647.65044) Full Text: DOI
Friedland, S.; Nocedal, J.; Overton, M. L. The formulation and analysis of numerical methods for inverse eigenvalue problems. (English) Zbl 0622.65030 SIAM J. Numer. Anal. 24, 634-667 (1987). Reviewer: A.Neubauer MSC: 65F15 65H17 PDFBibTeX XMLCite \textit{S. Friedland} et al., SIAM J. Numer. Anal. 24, 634--667 (1987; Zbl 0622.65030) Full Text: DOI
Friedland, S.; Nocedal, J.; Overton, M. L. Four quadratically convergent methods for solving inverse eigenvalue problems. (English) Zbl 0642.65025 Numerical analysis, Proc. 11th Conf., Dundee/Scotl. 1985, Pitman Res. Notes Math. Ser. 140, 47-65 (1986). MSC: 65F15 15A18 PDFBibTeX XML
Nocedal, Jorge; Overton, Michael L. Projected Hessian updating algorithms for nonlinearly constrained optimization. (English) Zbl 0593.65043 SIAM J. Numer. Anal. 22, 821-850 (1985). Reviewer: H.Matthies MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{J. Nocedal} and \textit{M. L. Overton}, SIAM J. Numer. Anal. 22, 821--850 (1985; Zbl 0593.65043) Full Text: DOI
Overton, Michael L. Numerical solution of a model problem from collapse load analysis. (English) Zbl 0585.73060 Computing methods in applied sciences and engineering VI, Proc. 6th Int. Symp., Versailles 1983, 421-437 (1984). MSC: 74R20 65K10 74S99 74S30 PDFBibTeX XML
Overton, Michael L. A quadratically convergent method for minimizing a sum of Euclidean norms. (English) Zbl 0536.65053 Math. Program. 27, 34-63 (1983). Reviewer: Michael L. Overton MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{M. L. Overton}, Math. Program. 27, 34--63 (1983; Zbl 0536.65053) Full Text: DOI
Nocedal, Jorge; Overton, Michael L. Numerical methods for solving inverse eigenvalue problems. (English) Zbl 0525.65020 Numerical methods, Proc. int. Workshop, Caracas/Venez. 1982, Lect. Notes Math. 1005, 212-225 (1983). MSC: 65F15 65H10 PDFBibTeX XML
Overton, Michael L. Algorithms for nonlinear \(\ell_ 1\) and \(\ell_{\infty}\) fitting. (English) Zbl 0545.65008 Nonlinear optimization, Proc. NATO Adv. Res. Inst., Cambridge/Engl. 1981, NATO Conf. Ser., Ser. II, 91-101 (1982). MSC: 65D10 65K05 90C30 PDFBibTeX XML
Overton, Michael L. A fast algorithm for the Euclidean distance location problem. (English) Zbl 0522.65043 Numerical analysis, Proc. 3rd IIMAS Workshop, Cocoyoc/Mex. 1981, Lect. Notes Math. 909, 99-105 (1982). MSC: 65K05 49M30 90C25 PDFBibTeX XML
Golub, Gene H.; Overton, Michael L. Convergence of a two-stage Richardson iterative procedure for solving systems of linear equations. (English) Zbl 0477.65023 Numerical analysis, Proc. 9th bienn. Conf., Dundee/Scotl. 1981, Lect. Notes Math. 912, 125-139 (1982). MSC: 65F10 PDFBibTeX XML
Murray, Walter; Overton, Michael L. A projected Lagrangian algorithm for nonlinear \(l_ 1\) optimization. (English) Zbl 0468.65036 SIAM J. Sci. Stat. Comput. 2, 207-224 (1981). MSC: 65K05 65D10 90C30 41A30 PDFBibTeX XMLCite \textit{W. Murray} and \textit{M. L. Overton}, SIAM J. Sci. Stat. Comput. 2, 207--224 (1981; Zbl 0468.65036) Full Text: DOI
Golub, Gene H.; Luk, Franklin T.; Overton, Michael L. A block Lanczos method for computing the singular values and corresponding singular vectors of a matrix. (English) Zbl 0466.65022 ACM Trans. Math. Softw. 7, 149-169 (1981). MSC: 65F15 65F20 15A18 65F25 PDFBibTeX XMLCite \textit{G. H. Golub} et al., ACM Trans. Math. Softw. 7, 149--169 (1981; Zbl 0466.65022) Full Text: DOI
Murray, Walter; Overton, Michael L. A projected Lagrangian algorithm for nonlinear minimax optimization. (English) Zbl 0461.65052 SIAM J. Sci. Stat. Comput. 1, 345-370 (1980). MSC: 65K05 90C30 90C20 PDFBibTeX XMLCite \textit{W. Murray} and \textit{M. L. Overton}, SIAM J. Sci. Stat. Comput. 1, 345--370 (1980; Zbl 0461.65052) Full Text: DOI
Murray, W.; Overton, M. L. Steplength algorithms for minimizing a class of nondifferentiable functions. (English) Zbl 0445.65060 Computing 23, 309-331 (1979). MSC: 65K05 90C30 65H05 65H10 PDFBibTeX XMLCite \textit{W. Murray} and \textit{M. L. Overton}, Computing 23, 309--331 (1979; Zbl 0445.65060) Full Text: DOI