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FCM Qualifying Examination References

Biomathematics, Financial Mathematics, and Applied and Computational Mathematics at Florida State University


  • Applied Iterative Methods, L. A. Hageman and D. M. Young, Academic Press
  • Analysis of Numerical Methods, E. Isaacson and H. Keller, Wiley
  • Applied Numerical Linear Algebra, James W. Demmel, SIAM
  • Accuracy and Stability of Numerical Algorithms, N. Higham, SIAM, Second Edition
  • Computer Methods for Ordinary Differential Equations and Differential-algebraic Equations, U. Ascher and L. Petzold, SIAM
  • Computational Frameworks for the Fast Fourier Transform, C. Van Loan, SIAM
  • The DFT: An Owner's Manual for the Disrete Fourier Transform, W. L. Briggs and V. E. Henson, SIAM
  • Introduction to Numerical Analysis, J. Stoer and R. Bulirsch, Springer
  • Iterative Methods for Linear and Nonlinear Equations, C. T. Kelley, SIAM
  • Iterative Methods for Optimization, C. T. Kelly, SIAM
  • Iterative Methods for Sparse Linear Systems, Yousef Saad, SIAM, Second Edition
  • Iterative Solution Methods, O. Axelsson, Cambridge University Press
  • Linear and Nonlinear Programming, David G. Luenberger and Yinyu Ye, Springer, Third Edition
  • Matrix Algorithms, Volume 1: Basic Decompostions, Volume 2: Eigensystems, G. W. Stewart, SIAM
  • Matrix Iterative Analysis, Richard Varga, Prentice Hall
  • Nonlinear Programming, Dimitri P. Bertsekas, Second Edition
  • Numerical Computation, Volumes 1 and 2, C. W. Ueberhuber, Springer
  • Numerical Initial Value Problems in Ordinary Differential Equations, C. W. Gear, Prentice Hall
  • Numerical Methods for Least Squares Problems, Ake Bjorck, SIAM
  • Numerical Mathematics, A. Quarteroni, R. Sacco, and F. Saleri, Springer Texts in Applied Mathematics 37, Second Edition
  • Numerical Methods, G. Dahlquist and A. Bjorck, Prentice-Hall
  • Numerical Mathematics and Computing, E. Ward Cheney and David R. Kincaid, Brooks Cole Publishing, Sixth Edition
  • Numerical Methods for Unconstrained Optimization, J. E. Dennis and Robert B. Schnabel, SIAM Classics Series
  • Numerical Optimization, Jorge Nocedal and Stephen J. Wright, Springer, Second Edition
  • Optimization by Vector Space Methods, D. Luenberger, Wiley
  • Orthogonal Polynomials: Computation and Approximation, Walter Gautschi, Clarendon Press
  • Splines and Variational Methods, P. M. Prenter, Wiley
  • Trust-Region Methods, Andrew R. Conn, Nicholas I.M. Gould, Philippe L. Toint, MPS/SIAM Series on Optimization