NLEIGS MATLAB vs Julia

System

MacBook Pro, Intel i7-6920HQ, 2.90GHz, 2x4 cores, 16 GB memory

MATLAB / Julia versions

MATLAB: v8.4.0 (R2014b)
Julia: v1.0.2

NLEIGS versions

MATLAB: v0.5 from this page
Julia: master branch as of 2018-11-15 (commit 44a2fc6)

Time measurements

Each experiment was run 10 times, with minimum display level, and the fastest run is reported. Only the solver is timed, not creating the input data.

Memory measurements

In MATLAB, memory usage was measured by summing up all the variables at the end of solver (mem = 0; for w = whos'; mem = mem + w.bytes; end), including the cached LU factors (in Alu).

In Julia,

Results

Number of iterations required for convergence may vary a bit due to different start vectors and tiny rounding errors that build up over time.

Version	Experiment	# Iter	# Conv. λ	CPU time	Memory usage
MATLAB	gun_variantP	100	17	7.14 s	420 MB
Julia	gun_variantP	100	17	4.33 s	58.9 MB
MATLAB	gun_variantR1	100	21	7.73 s	421 MB
Julia	gun_variantR1	100	21	4.26 s	58.9 MB
MATLAB	gun_variantR2	95	21	22.69 s	413 MB
Julia	gun_variantR2	95	21	14.10 s	51.1 MB
MATLAB	gun_variantS	70	21	5.95 s	408 MB
Julia	gun_variantS	71	21	3.92 s	46.4 MB
MATLAB	particle_variantR2	78	2	19.67 s	213 MB
Julia	particle_variantR2	74	2	8.71 s	73.3 MB
MATLAB	particle_variantS	141	2	15.05 s	239 MB
Julia	particle_variantS	134	2	6.51 s	91.9 MB