ABSTRACT: The current paper is mainly devoted to construct a generalized symbolic Thomas algorithm that will never fail. Two new efficient and reliable computational algorithms are given. The ...

The problem of joint approximate diagonalization of symmetric real matrices is addressed. It is reduced to an optimization problem with the restriction that the matrix of the similarity transformation ...

Abstract: The paper addresses the blind signal separation problem in the presence of sensor noise for the case where the source signals are non-stationary and/or non-white. This problem can be ...

This is a parallelized project aimed at accelerating the diagonalization of matrices through parallelization techniques. The project utilizes OpenMP to achieve a ...

Abstract: This paper addresses the problem of Joint approximate diagonalization (JAD) of a set of given matrices and proposes a new efficient iterative algorithm for JAD that based on the ...

This is a preview. Log in through your library . Journal Information This monthly journal, begun in 1950, is devoted entirely to research in pure and applied mathematics, principally to the ...

The diagonalization of matrices may be the top priority in the application of modern physics. In this paper, we numerically demonstrate that, for real symmetric random matrices with non-positive ...

ABSTRACT: A modal identification algorithm is developed, combining techniques from Second Order Blind Source Separation (SOBSS) and State Space Realization (SSR) theory. In this hybrid algorithm, a ...