<em id="zlul0"></em><dl id="zlul0"><menu id="zlul0"></menu></dl>

<em id="zlul0"></em>

<dl id="zlul0"></dl>
<div id="zlul0"><tr id="zlul0"><object id="zlul0"></object></tr></div>
<em id="zlul0"></em>

<div id="zlul0"><ol id="zlul0"></ol></div>

# Questions tagged [eigenvalues]

The tag has no usage guidance.

457 questions
Filter by
Sorted by
Tagged with
0answers
21 views

### Shared basis of eigenvalues for two unitary transformations [migrated]

I have two unitary transformations: $T$ and $S$ in a unitary space, and I know $TS=ST$. I need to prove that $T$ and $S$ have a shared basis composed of eigenvectors of both. i.e if $B=\{u_1,...,u_n\}$...
1answer
66 views

### Energy of a symmetric matrix with $0$, $1$ or $-1$ entries

I have a symmetric matrix with entries $0$, $1$ or $-1$ which appeared in my works in graph theory (the diagonal entries are all zero). I need a good upper bound for the energy of this matrix; i.e. "...
0answers
39 views

### Is the largest eigenvalue that matches an eigenvector that spans $v$ is independent of basis? [migrated]

Let $W$ be a finate-dimensional inner product space over $\mathbb{R}$ (or $\mathbb{C}$) and let $M: W\to W$ be a self-adjoint operator. Then there exists an orthonormal basis $B=\{\phi_i\}$ consisting ...
1answer
155 views

### Eigenvalues of random graphs

At time $t=0$, let $G_n(V,E)$ be a graph with $n$ vertices and $m < n$ edges. Then there exists a unique symmetric adjacency matrix $A_n$ associated with $G_n(V,E)$, defined as follows: $a_{ij} = 1$...
1answer
180 views

### Is it faster to compute eigenvalues or coefficients of characteristic polynomials?

Given $A \in \mathsf{M}_n(\mathbb{C})$ (no special structure) is it (generally) faster to compute its eigenvalues or the coefficients of its characteristic polynomial? References/insights would be ...
0answers
27 views

### How to solve or analyse the smallest eigenvalue of 2 coupled 1st-order linear ODEs?

I am trying to solve the eigensystem of a 1st-order linear ODE system in the region $(-\infty,\infty)$ and with Dirichlet boundary condition at the infinities \begin{align} -\mathrm{i} u'(x) +f^*(x) ...
0answers
76 views

Given a vector $u \in \Bbb R^n$, finding the value of the largest component of $u$ needs linear time in $n$. However, what if we additionally know that $u$ lies in some linear subspace $U \subset \Bbb ... 0answers 15 views ### Largest eigenvalue scaling in a certain Kac-Murdoch-Szegö matrix I'm looking at$N\times N$matrices$M_N$with elements $$M_N=\left( \rho^{|i-j|} \right)_{i,j=1}^N,$$ where$\rho$is a complex number of unit modulus. These matrices with$\rho\in\mathbb R$and$|\...
1answer
106 views

### The maximal eigenvalue of average of positive matrices

Let $A$ and $B$ be two square real positive (all entries are positive) matrices that differ only in the first row. Let $\lambda_A$ and $\lambda_B$ be the maximal real eigenvalues of $A$ and $B$, ...
0answers
36 views

### Calculate amount of FLOPs for an eigenvalue problem solver

I've got 2 complex, non symmetric, matrices $A_{1000x1000}$, $B_{1000x1000}$ and I am using Matlab to get it's eigenvalues (functions like eig or eigs). Both matrices are different - one is more dense ...
0answers
71 views

### Computing the support of the equilibrium measure in Johansson's 1999 paper “Shape fluctuations and random matrices” in detail?

I am trying to compute the equilibrium measure for the Meixner ensemble on page 19 (on the arxiv version). The "details" of the computation are in Section 6, where he finds the equilibrium measure is ...
1answer
68 views

0answers
98 views

### Minimum and maximum eigenvalue

I don't know if this is the right place to post this question, but I find it interesting and have not gotten an answer elsewhere. If it violates any rules, I will gladly delete it. Let $\Lambda$ be ...

15 30 50 per page
山西福彩快乐十分钟
<em id="zlul0"></em><dl id="zlul0"><menu id="zlul0"></menu></dl>

<em id="zlul0"></em>

<dl id="zlul0"></dl>
<div id="zlul0"><tr id="zlul0"><object id="zlul0"></object></tr></div>
<em id="zlul0"></em>

<div id="zlul0"><ol id="zlul0"></ol></div>
<em id="zlul0"></em><dl id="zlul0"><menu id="zlul0"></menu></dl>

<em id="zlul0"></em>

<dl id="zlul0"></dl>
<div id="zlul0"><tr id="zlul0"><object id="zlul0"></object></tr></div>
<em id="zlul0"></em>

<div id="zlul0"><ol id="zlul0"></ol></div>
手机捕鱼24小时上分 天津时时后三走势 辽宁11选5前三走势图表 快新时时彩开奖表 新疆时时号码公平吗 秒速飞艇规律计算 360老时时杀码 南粤风采26选5开奖信息 捕鸟达人手机游戏 十一选五任三遗漏