The contragredient equivalence: Application to solve some matrix systems
✍ Scribed by P. Rubió; J. Gelonch
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 924 KB
- Volume
- 290
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper we apply the contragredient equivalence to solve two matrix systems. Firstly, we characterize and build all possible solutions of the matrix system P = XY, Q = YX, giving a recursive formula for the number of contragrediently nonequivalent solutions. And, secondly, we find the solution of the matrix system AX = YC, BY -XD.
📜 SIMILAR VOLUMES
The class of systems treated in this paper is that characterized by a multiplicity of inputs and outputs. For such linear multivariable systems subject to continuous stochastic inputs with arbitrary self-and cross-correlations, a derivation is made of the equations to be satisfied by the optimum tra