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A modified Gaussian elimination was developed to solve a band matrix having some off-band submatrices.
Also the lower band matrix with the index of (j,i) below the diagonal terms is the Hermitian transpose of upper band matrix with index of (i,j).
These choices are possible by the definition of sequential band matrix B ( r ˜, s ˜ ).
In this paper, we study the localization of the sources, when the noise covariance matrix is one unknown band matrix.
In the present paper, we introduce a new band matrix F ˆ and define the sequence space.
In this paper the noise covariance matrix is modeled as a Hermitian, positive-definite band matrix, with half-bandwidth.
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The paper studies the quantum evolution for random Hamiltonians given by band matrices Hxy with a quite general type of even distribution of independent matrix elements.
Cholesky decompositions for band matrices were used to efficiently draw random samples from the full conditional [ 22, 23].
An operator on an lp-space is called band-dominated if it can be approximated, in the operator norm, by operators with a banded matrix representation.
The proposed approach allows a pentadiagonal banded matrix system to be split into quasi-disjoint subsystems by using a linear algebraic transformation technique.
The fact that the acoustic loading and the structural equation are symmetric allows us to take the storage and computational advantages of the banded matrix which has been widely used in conventional finite element methods.
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