Results 121 to 130 of about 831,773 (152)

Gene tree labeling using nonnegative matrix factorization on biomedical literature. [PDF]

Comput Intell Neurosci, 2008
Heinrich KE, Berry MW, Homayouni R.
europepmc   +1 more source

Continuous analogues of matrix factorizations. [PDF]

Proc Math Phys Eng Sci, 2015
Townsend A, Trefethen LN.
europepmc   +1 more source

Partly gentle perturbation with application to perturbation by annihilation-creation operators. [PDF]

Proc Natl Acad Sci U S A, 1967
Høegh-Krohn JR.
europepmc   +1 more source

On the Unitary Invariants of a Square Matrix. [PDF]

Proc Natl Acad Sci U S A, 1932
Murnaghan FD.
europepmc   +1 more source

Further <i>N</i>-Frame networking dynamics of conscious observer-self agents via a functional contextual interface: predictive coding, double-slit quantum mechanical experiment, and decision-making fallacy modeling as applied to the measurement problem in humans and AI. [PDF]

Front Comput Neurosci
Edwards DJ.
europepmc   +1 more source

On a Polar Representation of Non-Singular Square Matrices. [PDF]

Proc Natl Acad Sci U S A, 1931
Wintner A, Murnaghan FD.
europepmc   +1 more source

Left Unitarily Invariant Norms on Matrices

, 2006
DOMON, MASUMI, SANO, TAKASHI, TOBA, TOMOHIDE   +2 more
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Inequalities for Unitarily Invariant Norms

SIAM Journal on Matrix Analysis and Applications, 1998
Let \(A,B,X\) be complex matrices with \(A,B\) positive semidefinite. The author proves the following generalization of the arithmetic-mean inequality due to \textit{R. Bhatia} and \textit{C. Davis} [ibid. 14, No. 1, 132-136 (1993; Zbl 0767.15012]: \[ (2+t)\| A^rXB^{2-r}+A^{2-r}XB^r\| \leq 2\| A^2X+tAXB+XB^2\| \] for arbitrary unitarily invariant norm \
Xingzhi Zhan
exaly   +3 more sources

Unitarily invariant norms on dual quaternion matrices

Pacific Journal of Optimization
Summary: Dual quaternion matrices have recently received significant attention in research. In this paper, we primarily investigate unitarily invariant norms of dual quaternion matrices. We first introduce symmetric gauge function on dual numbers and establish a one-to-one correspondence between unitarily invariant norms of dual quaternion matrices and
Chen, Sheng, Hu, Haofei
exaly   +3 more sources