The condition of a certain matrix
- 1 January 1950
- journal article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 46 (1) , 116-118
- https://doi.org/10.1017/s0305004100025536
Abstract
1. The following sentence occurs in a recent paper ((1), p. 54): we do not understand precisely what it means, but we shall show that the idea behind it can be put on a reasonably quantitative basis: ‘In the vocabulary of solvers of simultaneous equations, the operator (1, −2, 1) tends to lead to ill-conditioning when the number of equations is large.’This publication has 5 references indexed in Scilit:
- The solution by relaxation methods of ordinary differential equationsMathematical Proceedings of the Cambridge Philosophical Society, 1949
- ROUNDING-OFF ERRORS IN MATRIX PROCESSESThe Quarterly Journal of Mechanics and Applied Mathematics, 1948
- Numerical inverting of matrices of high orderBulletin of the American Mathematical Society, 1947
- XVI. An escalator process for the solution of linear simultaneous equationsJournal of Computers in Education, 1946
- Einfluß der Änderung einer Matrix auf die Lösung des zugehörigen Gleichungssystems, sowie auf die charakteristischen Zahlen und die EigenvektorenZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1936