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Electrostatic Regulation of Na<sup>+</sup> Coordination Chemistry for High-Performance All-Solid-State Sodium Batteries. [PDF]
Nanomicro LettSong P +7 more
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Constructing large-scale benchmark datasets for the hierarchical hub location problem using geospatial information: a case study on populous Indian cities. [PDF]
Sci RepBhattacharjee AK, Mukhopadhyay A.
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Cyber attack and fault detection in DC microgrids by designing an event-triggered based-robust algorithm. [PDF]
Sci RepHosseini Rostami SM +2 more
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Tailoring grain boundary resistance in Li-ion conducting polymer-ceramic hybrid electrolytes based on polyether and Li<sub>1.5</sub>Al<sub>0.5</sub>Ge<sub>1.5</sub>(PO<sub>4</sub>)<sub>3</sub>. [PDF]
RSC AdvSuzuki N +4 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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Linear Algebra and its Applications, 2023
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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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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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Completely ? symmetric R matrix
Letters in Mathematical Physics, 1992An infinite-dimensional R matrix related to the limiting case n→∞ of the completely ℤn symmetric R matrix is discovered. This R matrix is expressed as an operator on C∞(S1×S1). Moreover, the fusion procedure of the R-operator is investigated and the finite-dimensional R matrices are constructed from the R operator.
Youichi Shibukawa, Kimio Ueno
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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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