Abstract: We experimentally demonstrate the transmission of a 4096-ary eigenvalue-modulated signal using 12 triangular-lattice-shaped eigenvalues. A 50-km transmission with a BER 3.8 × 10 −3 at 11.25 ...

Welcome to the nlp-2.1-matrix-decomposition repository! This project provides a collection of algorithms for matrix decomposition, a fundamental concept in linear algebra. Whether you're working on ...

For a square matrix ( A ), an eigenvalue ( \lambda ) and a corresponding eigenvector ( v ) are defined by the equation: [ Av = \lambda v ] The eigenvalue ( \lambda ) is a scalar that scales the ...

Abstract: This paper proposes a time-efficient parallel architecture for computing eigenvalues of asymmetric matrix with real values. The QR algorithm is used to compute the eigenvalues of asymmetric ...

Upper and lower bounds for the eigenvalues of three types of matrices M are established. If M is written as the sum of a diagonal matrix D plus a matrix A, the real parts of the eigenvalues of M must ...

In the paper, the authors establish two identities to express higher order derivatives and integer powers of the generating function of the Chebyshev polynomials of the second kind in terms of integer ...