In this paper a new algorithm for reducing an arbitrary real square matrix to tri-diagonal form using real similarity transformations is described. The method is essentially a generalization of a ...

There have been a number of variant Simultaneous Localization and Mapping (SLAM) algorithms which have made substantial progress towards large-area scalability by parameterizing the SLAM posterior ...

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EL-Mikkawy, M. (2005) A New Computational Algorithm for Solving Periodic Tri-Diagonal Linear Systems. Applied Mathematics and Computation, 161, 691-696.

Article citations More>> M. E. A. El-Mikkawy, “A Fast Algorithm for Evaluating nth Order Tri-Diagonal Determinants,” Journal of Computational and Applied Mathematics, Vol. 166, No. 2, 2004, pp.

The paper presents a new approach based upon tri-diagonal matrix splitting for solving the computational complexity problem of inverse information matrix. In this paper, by analyzing the every steps ...

Consider a family of infinite tri--diagonal matrices of the form $L+ zB,$ where the matrix $L$ is diagonal with entries $L_{kk}= k^2,$ and the matrix $B$ is ...

For tri-diagonal matrices arising in the simplified Jaynes--Cummings model, we give an asymptotics of the eigenvalues, prove a trace formula and show that the Spectral Riemann Surface is irreducible.