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, Base.summarysize(obj) was used.

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.

Experiment	# Iter	# Conv. λ	CPU time	Memory	# Iter	# Conv. λ	CPU time	Memory
Gun P	100	17	7.1 s	420 MB	100	17	4.3 s	59 MB
Gun R1	100	21	7.7 s	421 MB	100	21	4.3 s	59 MB
Gun R2	95	21	22.7 s	413 MB	95	21	14.1 s	51 MB
Gun S	70	21	6.0 s	408 MB	71	21	3.9 s	46 MB
Particle R2	78	2	19.7 s	213 MB	74	2	8.7 s	73 MB
Particle S	141	2	15.1 s	239 MB	134	2	6.5 s	92 MB