If A and D are positive semi-defined, then A+cD is also positive semi-defined.

 1 Basis 5 Bases 10 Bases 33 Bases 541 Bases 2879 Bases 3845 Bases Vallet08vs c = -10 0.00171235 0.000163871 4.32685e-005 1.11e-005 3.53215e-008 5.73475e-007 5.74316e-027 Vallet08 vs c = -1 0.00205554 0.000199032 5.2197e-005 1.34249e-005 4.2805e-008 5.73739e-007 2.64294e-027 Vallet08vs c = -0.5 4.61371e-006 3.99166e-007 1.11368e-007 2.78565e-008 8.70568e-011 1.17501e-012 5.42091e-027 Vallet08 vs c = 0 0 0 0 0 0 0 0 Vallet08 vs c = 0.5 0.000444579 4.4784e-006 1.29668e-006 1.6441e-007 1.18779e-009 5.277e-011 1.47602e-026 Vallet08 vs c = 1 0.00333874 4.06621e-005 1.09723e-005 1.73146e-006 1.04625e-008 4.82625e-010 2.54211e-026 Vallet08 vs c = 10 0.0630274 0.00356961 0.000607923 0.000114378 6.1632e-007 2.63733e-008 1.05842e-026

ORIGINAL (Vallet08 Laplacian)

 1 Basis 5 Bases 10 Bases 33 Bases 541 Bases 2879 Bases 3485 Bases

c = -10

 1 Basis 5 Bases 10 Bases 33 Bases 541 Bases 2879 Bases 3485 Bases

c = -1

 1 Basis 5 Bases 10 Bases 33 Bases 541 Bases 2879 Bases 3485 Bases

c = -0.5

 1 Basis 5 Bases 10 Bases 33 Bases 541 Bases 2879 Bases 3485 Bases

c = 0.5

 1 Basis 5 Bases 10 Bases 33 Bases 541 Bases 2879 Bases 3485 Bases

c = 1

 1 Basis 5 Bases 10 Bases 33 Bases 541 Bases 2879 Bases 3485 Bases

c = 10

 1 Basis 5 Bases 10 Bases 33 Bases 541 Bases 2879 Bases 3485 Bases