Results 281 to 290 of about 910,007 (330)

Ligand-channel-induced ion liberation in crowded zwitterionic hydrogel electrolyte for efficient zinc metal batteries. [PDF]

open access: yesNat Commun
Wang C   +11 more
europepmc   +1 more source

Approximating a Symmetric Matrix

Psychometrika, 1990
We 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.
openaire   +1 more source

Determinant of the Sum of a Symmetric and a Skew-Symmetric Matrix

SIAM Journal on Matrix Analysis and Applications, 1997
Assume \(\alpha=(\alpha_1\geq\ldots\geq\alpha_n)\), 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
openaire   +2 more sources

Matrix Symmetrization

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.
openaire   +2 more sources

Householder's tridiagonalization of a symmetric matrix

Numerische Mathematik, 1968
In 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
openaire   +2 more sources

Mass matrix with symmetric mixing

Physical Review D, 1991
Extending 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
openaire   +2 more sources

Symmetric matrix means

Linear Algebra and its Applications, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Decomposition of a symmetric matrix

Numerische Mathematik, 1976
An 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
openaire   +1 more source

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