SpectralMeasures.jl

SpectralMeasures.jl copied to clipboard

Rewrite operators as arrays via InfiniteArrays.jl

4

@marcusdavidwebb any objections to this change? I think this package really treats things as (infinite) matrices, so ApproxFun's domain and range space support just gets in the way.

dlfivefifty

Orthogonal connection matrix

1

There are issues with the current connection coefficient matrix introducing bad conditioning: ```julia V = SymTriOperator([zeros(5); -ones(6); zeros(10); -ones(7)],zeros(4)) J = -Δ + V Λ, U = eig(J) norm(Matrix(U[1:100,1:100])) #...

dlfivefifty

Move ComplexPhasePortrait dependency to separate package

1

This dependency is a bit annoying. I might make a SpectralMeasuresPlots.jl backage

dlfivefifty

J=Δ+SpectralMeasures.SymTriOperator(0.2*[0.,0.,0.,0.,-1.,-1.,-1.,-1.],[0.,0.])

dlfivefifty

dlfivefifty

qlIteration is not updating the shift at the moment.

dlfivefifty

PertToeplitz should be closed under inv, *, transpose

dlfivefifty

dlfivefifty

Essentially L is the conversion operator between new polynomial space and Chebyshev U. So we could plug in to the ApproxFun ODE solving. Will have to think of a good...

dlfivefifty