Inner Product Spaces: Normal, Unitary and Self-adjoint operators, Finite
Dimensional Spectral theorem for normal operators. Quadratic forms,
difference equations.
Orthogonal reduction, Discrete Fourier Transform, complementary
subspaces, range-null space decomposition, orthogonal decomposition,
singular-value decomposition, orthogonal projection, least squares
solutions.
Perron Frobenius Theory: Positive matrices, Nonnegative matrices,
Stochastic matrices and applications to Markov chains.
- Teacher: kcskumar Sivakumar K C