Results 321 to 330 of about 3,570,033 (364)
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Mass matrix with symmetric mixing
Physical Review D, 1991Extending the work of Barnhill, we propose distributing the mixing matrix between the up and down quarks equally. With this choice of gauge eigenstates, the resulting mixing matrix in the new basis is simply the identity and the gauge bosons couple to these states in an essentially trivial manner.
T. S. Santhanam +2 more
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Symmetric Matrix Eigenvalue Techniques
2006The article describes symmetric matrix eigenvalue techniques: basic methods (power method, inverse iteration, orthogonal iteration and QR iteration), tridiagonalization and implicitly shifted QR method, divide-and-conquer method, bisection and inverse iteration, the method of multiple relatively robust representations, Jacobi method and Lanczos method.
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Minimizing the Profile of a Symmetric Matrix
SIAM Journal on Scientific Computing, 2002Two classes of methods for optimizing the profile of a sparse matrix are given. Profile storage is useful when the matrix is moderately sparse, or when the nonzero entries are near the main diagonal. The proposed methods in the first class are heuristic.
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The gradient with respect to a symmetric matrix
IEEE Transactions on Automatic Control, 1977The well-known formulas for gradient matrices can be applied only when the elements of the matrix are independent [1],[2]. In this note, the author derives gradient formulas for two important types of element dependency: symmetry and skew symmetry. Application is made to the sensitivity analysis of optimal estimation systems.
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Symmetric Matrix Derivatives with Applications
Journal of the American Statistical Association, 1982Abstract Dwyer (1967) provided extensive formulas for matrix derivatives, many of which are for derivatives with respect to symmetric matrices. The results of his article are only for symmetric matrices whose (j, i) element is considered to differ from the (i, j) element even though their scalar values are equal.
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Computation of an eigenvector of a symmetric tridiagonal matrix
Siberian Mathematical Journal, 1986A new algorithm for the computation of an eigenvector of a symmetric tridiagonal matrix is given with error estimation. This estimation depends only on the order of numbers in the computer.
V. I. Kostin +2 more
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Response Matrix of Symmetric Nodes
Nuclear Science and Engineering, 1984Properties of a symmetric node's response matrix are discussed. The node may have an internal structure such that it remains invariant under the symmetry transformations of the considered node. A transformation diagonalizing the response matrix is given by means of symmetry considerations.
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On fixed-point implementation of symmetric matrix inversion
European Conference on Circuit Theory and Design, 2015Carl Ingemarsson, O. Gustafsson
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