Handbook for Automatic Computation
Home > Mathematics and Science Textbooks > Mathematics > Handbook for Automatic Computation
Handbook for Automatic Computation

Handbook for Automatic Computation

|
     0     
5
4
3
2
1




Out of Stock


Notify me when this book is in stock
About the Book

The development of the internationally standardized language ALGOL has made it possible to prepare procedures which can be used without modification whenever a computer with an ALGOL translator is available. Volume Ia in this series gave details of the restricted version of ALGOL which is to be employed throughout the Handbook, and volume Ib described its implementation on a computer. Each of the subsequent volumes will be devoted to a presentation of the basic algorithms in some specific areas of numerical analysis. This is the first such volume and it was feIt that the topic Linear Algebra was a natural choice, since the relevant algorithms are perhaps the most widely used in numerical analysis and have the advantage of forming a weil defined dass. The algorithms described here fall into two main categories, associated with the solution of linear systems and the algebraic eigenvalue problem respectively and each set is preceded by an introductory chapter giving a comparative assessment.

Table of Contents:
I Linear Systems, Least Squares and Linear Programming.- to Part I (J. H. Wilkinson) ..- 1. Introduction.- 2. List of Procedures.- 3. Positive Definite Symmetric Matrices.- 4. Non-Positive Definite Symmetric Matrices.- 5. Non-Hermitian Matrices.- 6. Least Squares and Related Problems.- 7. The Linear Programming Problem.- Contribution I/1: Symmetric Decomposition of a Positive Definite Matrix.- Contribution I/2: Iterative Refinement of the Solution of a Positive Definite System of Equations.- Contribution I/3: Inversion of Positive Definite Matrices by the Gauss-Jordan Method.- Contribution I/4: Symmetric Decomposition of Positive Definite Band Matrices.- Contribution I/5: The Conjugate Gradient Method.- Contribution 1/6: Solution of Symmetric and Unsymmetric Band Equations and the Calculation of Eigenvectors of Band Matrices.- Contribution I/7: Solution of Real and Complex Systems of Linear Equations.- Contribution I/8: Linear Least Squares Solutions by Householder Transformations.- Contribution I/9: Elimination with Weighted Row Combinations for Solving Linear Equations and Least Squares Problems.- Contribution I/l0: Singular Value Decomposition and Least Squares Solutions.- Contribution I/l l: A Realization of the Simplex Method based on Triangular Decompositions.- II The Algebraic Eigenvalue Problem.- to Part II (J. H. Wilkinson).- 1. Introduction.- 2. List of Procedures.- 3. Real, Dense, Symmetric Matrices.- 4. Symmetric Band Matrices.- 5. Simultaneous Determination of Dominant Eigenvalues and Eigenvectors of a Symmetric Sparse Matrx.- 6. The Generalized Symetric Eigenvalue Problems Ax=?Bx and ABx = ?.- 7. Hermitian Matrices.- 8. Real Dense Unsymmetric Matrices.- 9. Unsymmetric Band Matrices.- 10. Dense Unsymmetric Matrices with Complex Elements.- Contribution II/l: The Jacobi Method for Real Symmetric Matrices.- Contribution II/2: Householder's Tridiagonalization of a Symmetric Matrix.- Contribution II/3: The QR and QL Algorithms for Symmetric Matrices.- Contribution II/4: The Implicit QL Algorithm.- Contribution II/5: Calculation of the Eigenvalues of a Symmetric Tridiagonal Matrix by the Method of Bisection.- Contribution II/6: Rational Q R Transformation with Newton Shift for Symmetric TridiagonalMatrices.- Contribution II/7: The QR Algorithm for Band Symmetric Matrices.- Contribution II/8: Tridiagonalization of a Symmetric Band Matrix.- Contribution II/9: Simultaneous Iteration Method for Symmetric Matrices.- Contribution II/l0: Reduction of the Symmetric Eigenproblem A x =?Bx and Related Problems to Standard Form.- Contribution II/11: Balancing a Matrix for Calculation of Eigenvalues and Eigenvectors.- Contribution II/12: Solution to the Eigenproblem by a Norm Reducing Jacobi Type Method.- Contribution II/13: Similarity Reduction of a General Matrix to Hessenberg Form.- Contribution II/14: The QR Algorithm for Real Hessenberg Matrices.- Contribution II/15: Eigenvectors of Real and Complex Matrices by L R and Q R triangulari.- Contribution II/16: The Modified L R Algorithm for Complex Hessenberg Matrices.- Contribution II/l 7: Solution to the Complex Eigenproblem by a Norm Reducing Jacobi Type Method.- Contribution II/l 8: The Calculation of Specified Eigenvectors by Inverse Iteration.


Best Sellers


Product Details
  • ISBN-13: 9783540054146
  • Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
  • Publisher Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Language: English
  • Weight: 765 gr
  • ISBN-10: 3540054146
  • Publisher Date: 01 Jan 1971
  • Binding: Hardback
  • Returnable: N


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
Handbook for Automatic Computation
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG -
Handbook for Automatic Computation
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

Handbook for Automatic Computation

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    New Arrivals

    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!