Lecture Notes:


·        Continuous Realization Methods and Their Applications: (Series presentation, 12 talks.)

·        Inverse Eigenvalue Problems: Theory and Applications (Series presentation, 12 talks)

·        Structured Low Rank Approximations (Series presentation, 5 talks)

·        Numerical Algorithms as Dynamical Systems (Series presentation, 6 talks)


·        A Fast Recursive Algorithm for Constructing Matrices with Prescribed Eigenvalues and Singular Values:cp03.pdf

·        Data Mining: for What? Clusters or Factors

·        Data Mining and Matrix Factorizations

·        Educational Testing Problem and Non-smooth Optimization:

·        Group Theory, Linear Transformation and Flows: Dynamical Systems on Manifolds:

·        Low Rank Circulant Approximation:

·        Minimal Variance Estimator of Reconstructor in Adaptive Optics System:

·        Multivariate Eigenvalue Problem: Algebraic Theory and Power Method:

·        On an Adaptive Control Algorithm for Adaptive Optics Applications:

·        On the Differential Equation $\frac{dX}{dt}=[X,k(X)] $ where $k$ Is a Toeplitz Annihilator

·        On the Inverse Problem of Constrained Data Reconstration:

·        On the Evolution of Lax Dynamics and Its Applications:

·        Structured Low Rank Approximation:

·        Wedderburn Decomposition and Its Applications to Matrix Factorizations