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.

  1. Pdf J.h.wilkinson C.reinsch Handbook For Automatic Computation Pdf
  2. Pdf J.h.wilkinson C.reinsch Handbook For Automatic Computation Pdf Format

Handbook for Automatic Computation: Volume II: Linear Algebra Dr. Wilkinson F.R.S., Dr. Reinsch (auth.), Prof. Householder, F. Advancing research. Creating connections. Algorithms for triangular decomposition of block Hankel and Toeplitz matrices with application to factoring positive matrix polynomials. In an early paper in this series 4 Householder’s algorithm for the tridiagonalization of a real symmetric matrix was discussed. In the light of experience gained since its publication and in view of its importance it seems worthwhile to issue improved versions of the procedure given there. Algebra series of the Handbook for Automatic Computation is continued. Algorithms are published in ALGOL 60 reference language as approved by the IFIP. Contributions in this series should be styled after the most recently published ones. The work of this author was. Handbook for Automatic Computation, Vol. 2: Linear Algebra (Grundlehren Der Mathematischen Wissenschaften, Vol. 186) (1st Edition) by James Hardy Wilkinson, C. Reinsch, Friedrich L. Bauer (Editor), C. Rinsch Hardcover, 439 Pages, Published 1986: ISBN-10: 0-387-05414-6 / ISBN-13: 978-0-387-05414-8 / 148: The development of the internationally standardized language ALGOL.

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Pdf J.h.wilkinson C.reinsch Handbook For Automatic Computation Pdf


Pdf J.h.wilkinson C.reinsch Handbook For Automatic Computation Pdf Format

  1. Barth, W., R. S. Martin, and J. H. Wilkinson: Calculation of the eigenvalues of a symmetric tridiagonal matrix by the method of bisection. Numer. Math. 9, 386–393 (1967). Cf. II/5.MathSciNetCrossRefzbMATHGoogle Scholar
  2. Bowdler, H., R. S. Martin, C. Reinsch, and J. H. Wilkinson: The QR and QL algorithms for symmetric matrices. Numer. Math. 11, 293 – 306 (1968). Cf. II/3.MathSciNetCrossRefzbMATHGoogle Scholar
  3. Ortega, J.M.: An error analysis of Householder’s method for the symmetric eigenvalue problem. Numer. Math. 5, 211–225 (1963).MathSciNetCrossRefzbMATHGoogle Scholar
  4. Wilkinson, J. H.: Householder’s method for symmetric matrices. Numer. Math. 4, 354–361 (1962).MathSciNetCrossRefzbMATHGoogle Scholar
  5. Wilkinson, J. H.: Calculation of the eigenvectors of a symmetric tridiagonal matrix by inverse iteration. Numer. Math. 4, 368–376 (1962).MathSciNetCrossRefzbMATHGoogle Scholar
  6. Wilkinson, J. H.: The algebraic eigenvalue problem. London: Oxford University Press 1965.zbMATHGoogle Scholar
  7. Peters, G., and J. H. Wilkinson: The calculation of specified eigenvectors by inverse iteration. Cf. II/18.Google Scholar
  8. Reinsch, C., and F. L. Bauer: Rational QR transformation with Newton shift for symmetric tridiagonal matrices. Numer. Math. 11, 264–272 (1968). Cf. II/6.MathSciNetCrossRefzbMATHGoogle Scholar