Skip to main content
Introduction to Numerical Analysis
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 50
  • Cited by
    This book has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Phong, Le Tien and Minh, Ngo Duc 2019. Advances in Engineering Research and Application. Vol. 63, Issue. , p. 63.

    Ahookhosh, Masoud and Neumaier, Arnold 2017. Solving structured nonsmooth convex optimization with complexity $$\mathcal {O}(\varepsilon ^{-1/2})$$ O ( ε - 1 / 2 ) . TOP,

    Bryla, Andrii 2017. Optimization Methods and Applications. Vol. 130, Issue. , p. 57.

    Ahookhosh, Masoud and Neumaier, Arnold 2017. Optimal subgradient algorithms for large-scale convex optimization in simple domains. Numerical Algorithms, Vol. 76, Issue. 4, p. 1071.

    Merlet, Jean-Pierre 2017. Simulation of Discrete-Time Controlled Cable-Driven Parallel Robots on a Trajectory. IEEE Transactions on Robotics, Vol. 33, Issue. 3, p. 675.

    Ahookhosh, Masoud and Neumaier, Arnold 2017. An optimal subgradient algorithm for large-scale bound-constrained convex optimization. Mathematical Methods of Operations Research, Vol. 86, Issue. 1, p. 123.

    Chen, Michael Mehrotra, Sanjay and Papp, Dávid 2015. Scenario generation for stochastic optimization problems via the sparse grid method. Computational Optimization and Applications, Vol. 62, Issue. 3, p. 669.

    Bosurgi, Gaetano D'Andrea, Antonino and Pellegrino, Orazio 2015. Interval analysis applied to road standard controls. Proceedings of the Institution of Civil Engineers - Transport, Vol. 168, Issue. 6, p. 543.

    Zhao, Qinghai Chen, Xiaokai Ma, Zheng-Dong and Lin, Yi 2015. Robust Topology Optimization Based on Stochastic Collocation Methods under Loading Uncertainties. Mathematical Problems in Engineering, Vol. 2015, Issue. , p. 1.

    Zare, A. R. and Ahmadizadeh, M. 2014. Design of viscous fluid passive structural control systems using pole assignment algorithm. Structural Control and Health Monitoring, Vol. 21, Issue. 7, p. 1084.

    Schichl, Hermann Markót, Mihály Csaba and Neumaier, Arnold 2014. Exclusion regions for optimization problems. Journal of Global Optimization, Vol. 59, Issue. 2-3, p. 569.

    Derkaoui, Orkia and Lehireche, Ahmed 2014. Safe Bounds in Semidefinite Programming by Using Interval Arithmetic. American Journal of Operations Research, Vol. 04, Issue. 05, p. 293.

    Lee, Chang Hyeong Shin, Jaemin and Kim, Junseok 2013. A numerical characteristic method for probability generating functions on stochastic first-order reaction networks. Journal of Mathematical Chemistry, Vol. 51, Issue. 1, p. 316.

    Kumar, Nitin and Rawat, Tarun Kumar 2012. Advances in Computer Science and Information Technology. Computer Science and Engineering. Vol. 85, Issue. , p. 32.

    Mohr, M. Biro, O. Stermecki, A. and Diwoky, F. 2012. An improved physical phase variable model for permanent magnet machines. p. 53.

    Schichl, Hermann and Markót, Mihály Csaba 2012. Algorithmic differentiation techniques for global optimization in the COCONUT environment. Optimization Methods and Software, Vol. 27, Issue. 2, p. 359.

    2011. Handbook of Monte Carlo Methods. p. 677.


    Neumaier, Arnold Fendl, Hannes Schilly, Harald and Leitner, Thomas 2011. VXQR: derivative-free unconstrained optimization based on QR factorizations. Soft Computing, Vol. 15, Issue. 11, p. 2287.

    Rump, Siegfried M. 2011. Verified bounds for singular values, in particular for the spectral norm of a matrix and its inverse. BIT Numerical Mathematics, Vol. 51, Issue. 2, p. 367.


Book description

Numerical analysis is an increasingly important link between pure mathematics and its application in science and technology. This textbook provides an introduction to the justification and development of constructive methods that provide sufficiently accurate approximations to the solution of numerical problems, and the analysis of the influence that errors in data, finite-precision calculations, and approximation formulas have on results, problem formulation and the choice of method. It also serves as an introduction to scientific programming in MATLAB, including many simple and difficult, theoretical and computational exercises. A unique feature of this book is the consequent development of interval analysis as a tool for rigorous computation and computer assisted proofs, along with the traditional material.


‘… very valuable in preparing a course on Numerical Analysis and is indeed very readable.’

Thomas Sonar Source: Zentralblatt MATH

‘This is very strongly recommended reading for all undergraduate students whose courses require a serious understanding and implementation of numerical analysis.‘

Source: The Mathematical Gazette

Refine List
Actions for selected content:
Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Send to Kindle
  • Send to Dropbox
  • Send to Google Drive
  • Send content to

    To send content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to .

    To send content items to your Kindle, first ensure is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle.

    Note you can select to send to either the or variations. ‘’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

    Find out more about the Kindle Personal Document Service.

    Please be advised that item(s) you selected are not available.
    You are about to send

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.


Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Book summary page views

Total views: 0 *
Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed