Overlap eigensystem tests

Eigensystem tests

Boundary conditions: 0 = Dirichlet, 1 = Periodic, -1 = Antiperiodic

24³ × 64 dynamical configuration, \(a = 0.114 {\rm fm}\)

Configuration: rbc_conf_2464_m0.005_0.04_002055_hyp (Domain Wall Action)

Number of Cores: 1024

B.C. (x y z t)	1 1 1 0	0 1 1 0
Hw Eigenvectors #	300	300
Polynomial Order (10-9 error)	226	463
Dov Eigenvectors(pair) #	100	100
Dov Precision	10-7	10-7
# Zero Modes	2	3
# Overlap Iterations	6250	5950

32³ × 64 dynamical configuration, \(a = 0.085 {\rm fm}\)

Configuration: rbc_conf_3264_m0.004_0.03_002190_hyp (Domain Wall Action)

Number of Cores: 2048

B.C. (x y z t)	1 1 1 0	1 1 1 -1
Hw Eigenvectors #	300	200
Polynomial Order (10-9 error)	284	118
Dov Eigenvectors(pair) #	100	400
Dov Precision	10-7	10-9
# Zero Modes	7	6
# Overlap Iterations	8500	14200

32³ × 64 dynamical configuration (new), \(a = ?{\rm fm}\)

Configuration: rbc_conf_3264_m0.004_0.03_test_hyp (Domain Wall Action)

Number of Cores: 8192 (But one should resort to only 4096 due to scaling)

B.C. (x y z t)	1 1 1 0	1 1 1 -1
Hw Eigenvectors #	400	400
Polynomial Order (10-9 error)	395	215
Dov Eigenvectors(pair) #	100	100
Dov Precision	10-7	10-7
# Zero Modes	Not Known	15
# Overlap Iterations	Did not converge in 24hrs	34900

28³ × 56 pure gauge configuration, \(a = 0.15 {\rm fm}\)

Configuration: g282856iw_beta2.34607_194 (Iwasaki Action)

Number of Cores: 1792

# nyhp smears	1	2	3
B.C. (x y z t)	1 1 1 0	1 1 1 0	1 1 1 0
Hw Eigenvectors #	270	270	270
Polynomial Order (10-9 error)	379	297	256
Dov Eigenvectors(pair) #	100	100	100
Dov Precision	10-7	10-7	10-7
# Zero Modes	10	9	14
# Overlap Iterations	26158*	21700	24250

32³×64 DSDR configuration comparison of 4 and 1 time p-HYP smearing kappa = 0.2, (Test on Hopper)

eigensystem

	4 smearings on 1024 cores	1 smearing on 4096 cores	2 smearing on 4096 cores
# of Hw eigenvectors	100	350	350
largest Hw eigenvalue computed	0.2217	0.1106	0.2012
Hw timings	572 sec	616 sec	547 sec
polynomial order for 10-10 error	126	251	139
# of Dov eigenvectors 10-8 error	613 (pair)	613 (pair)	613 (pair)
Chebyshev order/cut	12/0.01	12/0.01	12/0.01
# Arnoldi iterations	2	2	2
Timings for overlap convergence	12.4 hours	7.2 hours	4.2 hours
Topological charge	17.00	14.52	15.82
# of zero modes	17	15	15
largest eigenvalue of Dov	+9.09095117521e-03 +1.64894536348e-0	6.2930786766e-03 +i 1.3725754329e-01	7.0716480399e-03 +i 1.4548173739e-01

| 12.4 hours || 7.2 hours |- ! Topological charge | 17 || 15 |- ! # of zero modes | 17 || 15 |- ! largest eigenvalue of D_ov | +9.09095117521e-03 +1.64894536348e-0 || 6.2930786766e-03 +i 1.3725754329e-01 |- |}

(* Locking was on during this run, which might have affected the number of iterations. Locking was off for all other runs) --