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Dynamic Incidence Angle Effects of Non-Spherical Raindrops on Rain Attenuation and Scattering for Millimeter-Wave Fuzes. [PDF]
Yang B, Wu K, Liang Y, Hao S, Huang Z.
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Synergistic effect of MOF fillers and succinonitrile in PEO-based electrolytes for long-cycle all-solid-state Li-CO<sub>2</sub> batteries. [PDF]
Huang Y +9 more
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Ligand-channel-induced ion liberation in crowded zwitterionic hydrogel electrolyte for efficient zinc metal batteries. [PDF]
Wang C +11 more
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Approximating a Symmetric Matrix
Psychometrika, 1990We examine the least squares approximation C to a symmetric matrix B, when all diagonal elements get weight w relative to all nondiagonal elements. When B has positivity p and C is constrained to be positive semi-definite, our main result states that, when w ≥1/2, then the rank of C is never greater than p, and when w ≤1/2 then the rank of C is at ...
Bailey, R. A., Gower, J. C.
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Determinant of the Sum of a Symmetric and a Skew-Symmetric Matrix
SIAM Journal on Matrix Analysis and Applications, 1997Assume \(\alpha=(\alpha_1\geq\ldots\geq\alpha_n)\), and \(\beta=(\beta_1=\beta_2\geq\beta_3=\beta_4\geq\ldots\geq\beta_n)\), where \(\beta_n=0\) if \(n\) is odd. Using standard notation, write \(\widetilde A=\text{diag}(\alpha_n,\ldots,\alpha_1)\), \(\widetilde B=\sum_{k\leq n/2}\beta_{2k}(E_{2k-1,2k}-E_{2k,2k-1})\).
Bebiano, Natália +2 more
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Journal of Guidance, Control, and Dynamics, 1998
Summary: In this note we point out that the symmetrized real matrix is also the symmetric matrix that is the closest, in the Euclidean norm, to the matrix being symmetrized. This implies that, when symmetrizing the solutions to Riccati and Lyapunov equations, one actually replaces the solution by its closest symmetric matrix.
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Summary: In this note we point out that the symmetrized real matrix is also the symmetric matrix that is the closest, in the Euclidean norm, to the matrix being symmetrized. This implies that, when symmetrizing the solutions to Riccati and Lyapunov equations, one actually replaces the solution by its closest symmetric matrix.
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Householder's tridiagonalization of a symmetric matrix
Numerische Mathematik, 1968In an early paper in this series [4] Householder’s algorithm for the tridiagonalization of a real symmetric matrix was discussed. In the light of experience gained since its publication and in view of its importance it seems worthwhile to issue improved versions of the procedure given there.
Martin, R. S. +2 more
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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.
, Dixit, , Santhanam, , Thacker
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Linear Algebra and its Applications, 2023
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Decomposition of a symmetric matrix
Numerische Mathematik, 1976An algorithm is presented to compute a triangular factorization and the inertia of a symmetric matrix. The algorithm is stable even when the matrix is not positive definite and is as fast as Cholesky. Programs for solving associated systems of linear equations are included.
Bunch, James R. +2 more
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