Finding Zeros and Minimum Points by Iterative Methods

[1]  Peter Spellucci,et al.  Numerische Verfahren der nichtlinearen Optimierung , 1993 .

[2]  Claude Brezinski,et al.  Extrapolation methods - theory and practice , 1993, Studies in computational mathematics.

[3]  William C. Davidon,et al.  Variable Metric Method for Minimization , 1959, SIAM J. Optim..

[4]  J. Traub.  Iterative Methods for the Solution of Equations , 1982 .

[5]  C. Brezinski,et al.  Algorithmes d'Acceleration de la Convergence Etude Numerique. , 1980 .

[6]  J. Stoer,et al.  On the relation between quadratic termination and convergence properties of minimization algorithms , 1977 .

[7]  J. Stoer.  On the relation between quadratic termination and convergence properties of minimization algorithms , 1977 .

[8]  Shmuel S. Oren,et al.  Optimal conditioning of self-scaling variable Metric algorithms , 1976, Math. Program..

[9]  William C. Davidon,et al.  Optimally conditioned optimization algorithms without line searches , 1975, Math. Program..

[10]  Josef Stoer.  On the convergence rate of imperfect minimization algorithms in Broyden'sβ-class , 1975, Math. Program..

[11]  R. Brent.  Table errata: Algorithms for minimization without derivatives (Prentice-Hall, Englewood Cliffs, N. J., 1973) , 1975 .

[12]  Henry C. Thacher,et al.  Applied and Computational Complex Analysis. , 1988 .

[13]  P. Deuflhard.  A modified Newton method for the solution of ill-conditioned systems of nonlinear equations with application to multiple shooting , 1974 .

[14]  D. Luenberger,et al.  Self-Scaling Variable Metric (SSVM) Algorithms , 1974 .

[15]  John E. Dennis,et al.  On the Local and Superlinear Convergence of Quasi-Newton Methods , 1973 .

[16]  A. Ostrowski.  Solution of equations in Euclidean and Banach spaces , 1973 .

[17]  E. Polak.  Introduction to linear and nonlinear programming , 1973 .

[18]  P. Seifert.  L. Collatz und W. Wetterling, Optimierungsaufgaben 2. Aufl. (Heidelberger Taschenbücher, Band 15). XI + 222 S. m. 62 Abb. Berlin/Heidelberg/New York 1971. Springer‐Verlag. Preis Brosch. DM 14,80 , 1973 .

[19]  David Mautner Himmelblau,et al.  Applied Nonlinear Programming , 1972 .

[20]  J. H. Wilkinson,et al.  Practical Problems Arising in the Solution of Polynomial Equations , 1971 .

[21]  M. Marden.  Geometry of Polynomials , 1970 .

[22]  C. G. Broyden.  The Convergence of a Class of Double-rank Minimization Algorithms 2. The New Algorithm , 1970 .

[23]  C. G. Broyden.  The Convergence of a Class of Double-rank Minimization Algorithms 1. General Considerations , 1970 .

[24]  M. A. Jenkins,et al.  A three-stage variable-shift iteration for polynomial zeros and its relation to generalized rayleigh iteration , 1970 .

[25]  James Hardy Wilkinson,et al.  Eigenvalues of Ax = λBx with band symmetric A and B , 1969, Comput. J..

[26]  A. Ostrowski.  Solution of equations and systems of equations , 1967 .

[27]  C. G. Broyden.  Quasi-Newton methods and their application to function minimisation , 1967 .

[28]  Karl Nickel.  Die numerische Berechnung der Wurzeln eines Polynoms , 1966 .

[29]  J. H. Wilkinson.  The algebraic eigenvalue problem , 1966 .

[30]  C. G. Broyden.  A Class of Methods for Solving Nonlinear Simultaneous Equations , 1965 .

[31]  J. W. Schmidt,et al.  L. Collatz, Funktionalanalysis und numerische Mathematik. (Die Grundlehren der mathematischen Wissenschaften, Band 120) VI + 371 S. m. 96 Abb. u. 2 Porträts. Berlin/Göttingen/Heidelberg 1964. Springer-Verlag. Preis geb. DM 58,— , 1965 .

[32]  Leonard Tornheim,et al.  Convergence of Multipoint Iterative Methods , 1964, JACM.

[33]  L. Collatz.  Funktionalanalysis und numerische Mathematik , 1964 .

[34]  Roger Fletcher,et al.  A Rapidly Convergent Descent Method for Minimization , 1963, Comput. J..

[35]  James Hardy Wilkinson,et al.  Rounding errors in algebraic processes , 1964, IFIP Congress.

[36]  James Hardy Wilkinson,et al.  The evaluation of the zeros of ill-conditioned polynomials. Part I , 1959, Numerische Mathematik.

[37]  Hans J. Maehly,et al.  Zur iterativen Auflösung algebraischer Gleichungen , 1954 .

[38]  W. Rogosinski,et al.  The Geometry of the Zeros of a Polynomial in a Complex Variable , 1950, The Mathematical Gazette.