## In this paper, for a prescribed real spectrum, using properties of the circulant matrices and of the symmetric persymmetric matrices, we derive a fast and stable algorithm to construct a symmetric nonnegative matrix which realizes the spectrum. The algorithm is based on the fast Fourier transfo
Construction of a matrix with nonnegative elements from its spectrum
β Scribed by Yu. S. Kolesov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1993
- Tongue
- English
- Weight
- 114 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0001-4346
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π SIMILAR VOLUMES
A necessary and sufficient condition for an n-tuple of real numbers (~1, ~2 .... , An) to be the spectrum of an oscillatory matrix is that Some methods of constructing a positive symmetric oscillatory matrix with spectrum a ----{A1, A2, ..., An} are suggested for theorems concerning oscillatory mat
## Abstract A rigorous circuit model with a limited number of parameters is presented to describe mutual coupling in uniform circular arrays (UCAs) with a center element. The model, which is based on a phaseβmode expansion, is applied to construct a coupling matrix in order to compensate for mutual