In wzz1999/StatComp21051: Package

knitr::opts_chunk$set(
  collapse = TRUE,
  comment = "#>"
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Project

This project studies the scale invariance of random matrices, it includes a series of random matrix generation, eigenvalue spectrum, and plotting function.

ERM

Generate Euclidean random matrix。 An N×N Euclidean random matrix $A$ is defined with the help of an arbitrary deterministic function $f(r, r′)$ and of N points ${r_i}$ randomly distributed in a region V of d-dimensional Euclidean space. The element $A_{ij}$ of the matrix is equal to $f(ri, rj): A_{ij} = f(r_i, r_j)$.

eigen_spectrum

computation the eigen spectrum of the random matrix, you can specify the input random matrix type and output the eigenvalue probability density function of the random matrix.

log_spectrum

computation the log eigen spectrum of the random matrix, you can specify the input random matrix type and output the logarithmic eigenvalue probability density function's logarithmic of the random matrix.

wzz1999/StatComp21051 documentation built on Dec. 24, 2021, 1:29 a.m.