Luiza Miranian

Publications:

On classical orthogonal polynomials and differential operators, (L. Miranian), 2005 J. Phys. A: Math. Gen. 38, pp. 6379-6383.

Matrix-valued orthogonal polynomials on the unit circle: some extensions of the classical theory, (L. Miranian), Canadian Mathematical Bulletin, 2009, Volume 52, No 1, pp. 95 - 104

Matrix-valued orthogonal polynomials on the real line: some extensions of the classical theory, (L. Miranian), 2005, J. Phys. A: Math. Gen. 38, pp. 5731-5749.

Slepian functions on the sphere, generalized Gaussian quadrature rule, (L. Miranian), 2004, Inverse Problems 20, pp. 877-892.

The magic of the prolate spheroidal functions in various setups, (F. A. Grunbaum, L. Miranian), 2001 Proc SPIE 4478,pp. 151-61.

Strong rank revealing Cholesky factorization, (M. Gu, L. Miranian), Electronic Transactions on Numerical Analysis, 2004, Volume 17, pp. 76-92.

Strong rank revealing LU factorization, (L. Miranian, M. Gu), Linear Algebra and its Applications, 2003, Volume 367, pp. 1-16.

Thesis, presentations:

PhD thesis, May 2005.

"Matrix Valued Orthogonal Polynomials", Summary of the thesis and recent developments

"Construction of Slepian functions on the sphere", IPAM conference at UCLA, December 2004

Teaching:

Fall 2004 I am a GSI for Math 110 with Professor Grunbaum, here is the link to the class webpage:

Math 110, Fall 2004: Linear Algebra.

Math 128A, Fall 2003: Numerical methods.

Fall 2002 I was a GSI for Math 128A with Professor Mayya Tokman, here is the link to the class webpage:

Math 128A, Fall 2002: Numerical methods.

Fall 2001 I was a GSI for Math 221 with Professor Ming Gu, here is the link to the class webpage:

Math 221, Fall 2001: Matrix Computations. A graduate course on sovling linear systems, linear least squares and finding eigenvalues using modern matrix techniques.

My previous schools:

Here is quite a piece of my history, Moscow School # 57 , and my class of 1995...