Non-Negative Matrix Theory

Code: MA725 | L-T-P-C: 4-0-0-8

MA725 Non-Negative Matrix Theory [4-0-0-8] Prerequisites: MA5XX Linear Algebra

Cones, Spectral properties of matrices which leave a cone invariant, Cone primitivity, Irreducible matrices, Reducible matrices, Primitive matrices, Stochastic matrices, Algebraic semigroups, Nonnegative idempotents, The semigroup $N_n$, The semigroup $D_n$, Inverse eigenvalue problems, Nonnegative matrices with given sums.

Texts:

1. Berman and Plemmons, Nonnegative Matrices in the Mathematical Sciences, SIAM, 1994.
2. Bapat and Raghavan, Nonnegative Matrices and Applications, CUP, 1997.