  To understand physics beyond the Standard Model (SM) it is important to have
the precise knowledge of Higgs boson and top quark masses as well as strong
coupling. Recently discovered new boson which is likely to be the SM Higgs with
mass 123-127 GeV has a submissive impact on the stability of the new physics
beyond standard model (BSM). The beyond standard model scenarios that include
many scalar fields posses scalar potential with many quartic couplings. Due to
the complicated structures of such scalar potentials it is indeed difficult to
adjudge the stability of the vacuum. Thus one needs to formulate a proper
prescription for computing the vacuum stability criteria. In this paper we have
used the idea of copositive matrices to deduce the conditions that guarantee
the boundedness of the scalar potential. We have discussed the basic idea
behind the copositivity and then used that to determine the vacuum stability
criteria for the Left-Right symmetric models with doublet, and triplet scalars
and Type-II seesaw. As this idea is based on the strong mathematical arguments
it helps to compute simple and unique stability criteria embracing the maximum
allowed parameter space.
