65 citations · 83 across the 16 of their papers we have counts for
17 papers
Identification of linear dynamical systems and machine learning
Alain Bensoussan, Fatih Gelir, Viswanath Ramakrishna +1
The topic of identification of dynamic systems, has been at the core of modern control , following the fundamental works of Kalman. Realization Theory has been one of the major out…
Inversion of the Indefinite Double Covering Map
Francis Adjei, Mieczyslaw Dabkowski, Samreen Khan +1
Algorithmic methods for the explicit inversion of the indefinite double covering maps are proposed. These are based on either the Givens decomposition or the polar decomposition of…
Algorithms for the Polar Decomposition in Certain Groups and the Quaternions
Francis Adjei, Marcus Cisneros, Deep Desai +2
Constructive algorithms, requiring no more than matrix manipulations, are provided for finding the entries of the positive definite factor in the polar decomposition of…
An Elementary, First Principles Approach to the Indefinite Spin Groups
Emily Herzig, Viswanath Ramakrishna
In this work we provide an elementary derivation of the indefinite spin groups in low-dimensions. Our approach relies on the isomorphism of Cl(p+1, q+1) to the algebra 2x2 matrices…
Note on Reversion, Rotation and Exponentiation in Dimensions Five and Six
E. Herzig, V. Ramakrishna, M. Dabkowski
The explicit matrix realizations of the reversion anti-automorphism and the spin group depend on the set of matrices chosen to represent a basis of 1 -vectors for a given Clifford…
Minimal Polynomials of Some Matrices Via Quaternions
Viswanath Ramakrishna, Yassmin Ansari, Fred Costa
This work provides explicit characterizations and formulae for the minimal polynomials of a wide variety of structured matrices. These include symmetric, Hamiltonian an…