Let N = N (q) be the number of nonzero digits in the binary expansion of the odd integer q. A construction method is presented which produces, among other results, a block circulant complex Hadamard matrix of order 2 ฮฑ q, where ฮฑ โฅ 2N -1. This improves a recent result of Craigen regarding the asympt
On inversion of complex matrices
โ Scribed by Adam Zielinski
- Publisher
- John Wiley and Sons
- Year
- 1979
- Tongue
- English
- Weight
- 206 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0029-5981
No coin nor oath required. For personal study only.
โฆ Synopsis
A method is presented for inverting an n x n complex matrix M = A + jB by using a real matrix inversion.
The approach avoids the requirements of inverting a 2n X 2n real matrix as well as non-singularity assumptions placed on A or B, or A + B, or A -B, as required by earlier methods.
๐ SIMILAR VOLUMES
Many model diffraction problems, generated by the Helmholtz equation, can be reduced to solving the infinite systems of linear algebraic equations SX s F. It proves that often the operators S in these problems satisfy some operator identities of the form AS y SB s โธ โธ U , where A and B are diagonal