Table 1.

Exponentiation of matrices from microbes.

Data	Norm1	Cond1	ϵTAYL1	ϵEIG1	ϵPADÉ1	$E_{TAYL}^2$	$E_{EIG}^2$	N3
Nuc	(0.062, 0.59)	(1.4, 4.6)	(7.1e-06, 2e-05)	(7.1e-06, 2e-05)	(7.1e-06, 2e-05)	0	0	272
Dinuc 1+2	(0.082, 1.9)	(4.7, inf)	(0.00012, 0.0032)	(0.00012, inf)	(0.00012, 0.0032)	0	3	272
Dinuc 2+3	(0.19, 3.1)	(3, 1e+02)	(0.00015, 0.0079)	(0.00015, 0.0079)	(0.00015, 0.0079)	0	1	272
Trinuc	(3.2e+02, 4.4e+02)	(19, 3.5e+02)	(3.7e+84, 1.5e+136)	(0.22, 0.23)	(0.22, 0.23)	256	0	257

¹ – median and maximum values; ² – Number of P matrices for the indicated algorithm with an invalid probability; ³ – total number of matrices; inf – an infinite difference, typically arising from an exponentiation error.