Zobrazeno 1 - 10
of 80
pro vyhledávání: '"Ramakrishna, Viswanath"'
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 outcomes in this domain, with the possibility of identifying a dynamic sy
Externí odkaz:
http://arxiv.org/abs/2005.08886
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 the given matrix in the proper, indefinite orthogonal group with sign
Externí odkaz:
http://arxiv.org/abs/2003.09484
Constructive algorithms, requiring no more than $2\times 2$ matrix manipulations, are provided for finding the entries of the positive definite factor in the polar decomposition of matrices in sixteen groups preserving a bilinear form in dimension fo
Externí odkaz:
http://arxiv.org/abs/1807.06062
Autor:
Herzig, Emily, Ramakrishna, Viswanath
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 with entries in Cl(p,q), simple properties of Kronecker products, cha
Externí odkaz:
http://arxiv.org/abs/1512.04587
This work provides explicit characterizations and formulae for the minimal polynomials of a wide variety of structured $4\times 4$ matrices. These include symmetric, Hamiltonian and orthogonal matrices. Applications such as the complete determination
Externí odkaz:
http://arxiv.org/abs/1009.0257
This work provides a quaternioinc reprsentation for real symplectic matrices in dimension four, analogous to the pair of unit quaternions representation for special orthogonal matrices. In the process of finding formulae for this representation in te
Externí odkaz:
http://arxiv.org/abs/0801.4402
Autor:
Ramakrishna, Viswanath, Zhou, Hong
This note presents explicit formulae for the exponentials of a wide variety of matrices which are 4x4, anti-Hermitian. Easily verifiable conditions characterizing when such matrices admit one of three minimal polynomials are also given. Essential use
Externí odkaz:
http://arxiv.org/abs/math-ph/0508018
Autor:
Ramakrishna, Viswanath, Costa, F.
Publikováno v:
J.Phys. A37 (2004) 11613-11628
In this note explicit algorithms for calculating the exponentials of important structured 4 x 4 matrices are provided. These lead to closed form formulae for these exponentials. The techniques rely on one particular Clifford Algebra isomorphism and b
Externí odkaz:
http://arxiv.org/abs/math-ph/0407042
This work provides a parametrization of the set of purifications of a 2x2 mixed state, and joint purifications (if any) of a given pair of mixed 2x2 states. The former is parametrized by SO(3, R), while the latter is parametrized by SO(2,R), except w
Externí odkaz:
http://arxiv.org/abs/quant-ph/0210091
Publikováno v:
Journal of Combinatorics, Information & System Sciences. 2020, Vol. 45 Issue 1-4, p300-341. 41p.
