The reduction of an arbitrary real square matrix to tridiagonal form using similarity transformations
- 1 January 1963
- journal article
- Published by American Mathematical Society (AMS) in Mathematics of Computation
- Vol. 17 (84), 433-437
- https://doi.org/10.1090/s0025-5718-1963-0156455-9
Abstract
In this paper a new algorithm for reducing an arbitrary real square matrix to tri-diagonal form using real similarity transformations is described. The method is essentially a generalization of a method due to A. S. Householder for accomplishing the same reduction in the case where the matrix is real and symmetric.Keywords
This publication has 6 references indexed in Scilit:
- Householder's Method for the Solution of the Algebraic EigenproblemThe Computer Journal, 1960
- On certain methods for expanding the characteristic polynomialNumerische Mathematik, 1959
- Stability of the Reduction of a Matrix to Almost Triangular and Triangular Forms by Elementary Similarity TransformationsJournal of the ACM, 1959
- Computation of Plain Unitary Rotations Transforming a General Matrix to Triangular FormJournal of the Society for Industrial and Applied Mathematics, 1958
- NUMERICAL COMPUTATION OF THE CHARACTERISTIC VALUES OF A REAL SYMMETRIC MATRIXPublished by Office of Scientific and Technical Information (OSTI) ,1954
- An iteration method for the solution of the eigenvalue problem of linear differential and integral operatorsJournal of Research of the National Bureau of Standards, 1950