Zobrazeno 1 - 10
of 727
pro vyhledávání: '"15A42"'
Autor:
Stewart, Michael
Publikováno v:
SIAM Journal on Matrix Analysis and Applications Vol. 45, No. 3, pp. 1392-1413, 2024
The spectral transformation Lanczos method for the sparse symmetric definite generalized eigenvalue problem for matrices $A$ and $B$ is an iterative method that addresses the case of semidefinite or ill conditioned $B$ using a shifted and inverted fo
Externí odkaz:
http://arxiv.org/abs/2411.03534
A Gelfand-Tsetlin function is a real-valued function $\phi:C \to \mathbb{R}$ defined on a finite subset $C$ of the lattice $\mathbb{Z}^2$ with the property that $\phi(x) \leq \phi(y)$ for every edge $\langle x,y \rangle$ directed north or east betwee
Externí odkaz:
http://arxiv.org/abs/2410.10754
The Horn inequalities characterise the possible spectra of triples of $n$-by-$n$ Hermitian matrices $A+B=C$. We study integral inequalities that arise as limits of Horn inequalities as $n \to \infty$. These inequalities are parametrised by the points
Externí odkaz:
http://arxiv.org/abs/2410.08907
Given (orthonormal) approximations $\tilde{U}$ and $\tilde{V}$ to the left and right subspaces spanned by the leading singular vectors of a matrix $A$, we discuss methods to approximate the leading singular values of $A$ and study their accuracy. In
Externí odkaz:
http://arxiv.org/abs/2409.09187
Autor:
Larotonda, Gabriel, Miglioli, Martin
For a $n\times n$ unitary matrix $u=e^z$ with $z$ skew-Hermitian, the angles of $u$ are the arguments of its spectrum, i.e. the spectrum of $-iz$. For $1\le m\le n$, we show that $s_m(t)$, the sum of the first $m$ angles of the path $t\mapsto e^{tx}e
Externí odkaz:
http://arxiv.org/abs/2408.16906
We prove Fuk-Nagaev and Rosenthal-type inequalities for the sums of independent random matrices, focusing on the situation when the norms of the matrices possess finite moments of only low orders. Our bounds depend on the "intrinsic" dimensional char
Externí odkaz:
http://arxiv.org/abs/2407.12948
In this paper, we introduce Cheeger type constants via isocapacitary constants introduced by Maz'ya to estimate first Dirichlet, Neumann and Steklov eigenvalues on a finite subgraph of a graph. Moreover, we estimate the bottom of the spectrum of the
Externí odkaz:
http://arxiv.org/abs/2406.12583
Autor:
Garrison, James E., Ipsen, Ilse C. F.
We a present and analyze rpCholesky-QR, a randomized preconditioned Cholesky-QR algorithm for computing the thin QR factorization of real mxn matrices with rank n. rpCholesky-QR has a low orthogonalization error, a residual on the order of machine pr
Externí odkaz:
http://arxiv.org/abs/2406.11751
Autor:
Lahtinen, Joonas
Publikováno v:
Inverse Problems 40 (2024), page 095002
In electromagnetic source localization problems stemming from linearized Poisson-type equation, the aim is to locate the sources within a domain that produce given measurements on the boundary. In this type of problem, biasing of the solution is one
Externí odkaz:
http://arxiv.org/abs/2405.04409
We derive some localization and perturbation results for coneigenvalues of quaternion matrices. In localization results, we derive Ger\v{s}gorin type theorems for right and left coneigenvalues of quaternion matrices. We prove that certain coneigenval
Externí odkaz:
http://arxiv.org/abs/2404.08932