Extensions of interpolation between the arithmetic-geometric mean inequality for matrices. [PDF]
Bakherad M +2 more
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The separation modulus of unitarily invariant matrix norms
If $X=(M_n(\mathbb{R}),\|\cdot\|)$ is a unitarily invariant normed space on , then we prove (via exact computations for a Jacobi orthogonal random matrix ensemble) that the spectral gap of the Laplacian with Dirichlet boundary conditions on the unit ball $B_X$ of $X$ satisfies $λ(X)\asymp n^3 \|I\|^2$.
Gunes, Mustafa Alper, Naor, Assaf
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Extension of the Total Least Square Problem Using General Unitarily Invariant Norms
Let m, n, p be positive integers such that m ≥ n + p. Suppose (A, B) ∈ C m×n × C m×p, and let P(A, B) = {(E, F) ∈ C m×n × C m×p: there is X ∈ C n×p such that (A − E)X = B − F}. The total least square problem concerns the determination of the existence
Chi-kwong Li, Xue-feng Wang, Xin-guo Liu
core
The Stability of the Unit Balls of Symmetric and Unitarily Invariant Norms
A compact convex set #KAPPA# is called stable if the midpoint mapping, #KAPPA#x#KAPPA##->##KAPPA#, (#chi#,#gamma#)#->#(#chi#+#gamma#)/2, is open.
Sa, E. Marques (Dep. de Matematica, Univ. de Coimbra, 3000 Coimbra (Portugal))
core
Chebyshev centers and radii for sets induced by quadratic matrix inequalities. [PDF]
Shakouri A, van Waarde HJ, Camlibel MK.
europepmc +1 more source
Separation of Time Scales in Weakly Interacting Diffusions. [PDF]
Adams ZP, Engel M, Gvalani RS.
europepmc +1 more source
Local Spin Density Approximation Strongly Improved by a Better-Informed Local Scaling of Its Self-Interaction Correction. [PDF]
Shahi C +8 more
europepmc +1 more source
Gauss Newton Method for Solving Variational Problems of PDEs with Neural Network Discretizaitons. [PDF]
Hao W, Hong Q, Jin X.
europepmc +1 more source
Algorithm 971: An Implementation of a Randomized Algorithm for Principal Component Analysis. [PDF]
Li H +5 more
europepmc +1 more source
A note on some inequalities for unitarily invariant norms [PDF]
Jianm ng Xue, Xing ai Hu
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