Image for Anand-Milik

Anand-Milik

Anand-Milik is a mathematical principle related to matrix analysis, particularly in the context of inequalities involving eigenvalues. It states that for two Hermitian (self-adjoint) matrices, if one matrix is less than or equal to another in the matrix order, then the sum of their largest eigenvalues is also ordered accordingly. Essentially, it helps compare the spectral properties (eigenvalues) of related matrices, facilitating bounds and inequalities crucial in areas like quantum mechanics, signal processing, and numerical analysis, where understanding the behavior of matrices and their spectra is essential.