# Knarik Tunyan

### Visiting Assistant Professor of Mathematics/Computer Science

Knarik Tunyan’s research work covers a wide range of topics in areas of Linear Algebra, Linear Programming, Numerical Analysis, and Computational Inverse Problems, as well as applications of mathematical methods in signal and image processing, optimization, network, economics, and biostatistics. Her current research focuses on using technology in education and investigating properties of her favorite linear parametric transformation and its applications in math and other disciplines.

#### Representative Courses

- Linear Algebra
- Numerical Analysis
- Number Theory
- Calculus I, II, III
- Differential Equations
- Math Junior Seminar
- Math Senior Seminar I, II
- Topics in Advanced Math

#### Publications

E. Eckenberg, **K.Tunyan**, (authors are listed in the alphabetical order), *QkRk factorization for Image Compression*, Facta Universitatis Series: Mathematics and Informatics, accepted for publication.

K. Tunyan, *Possible Adventures in Impossible Figures*, The STEAM Journal, vol. 4, **2**, 2020, Article 10. doi: 10.5642/steam.20200402.10

J. Heino, **K.Tunyan**, D.Calvetti, E.Somersalo, *Bayesian Flux Balance Analysis Applied to a Skeletal Muscle Metabolic Problem*, Journal on Theoretical Biology, 248(1), 2007, pp. 91-110. doi: 10.1016/j.jtbi.2007.04.002

D. Calvetti, J.Heino, E.Somersalo, **K.Tunyan**, *Bayesian Stationary State Flux Balance Analysis for a Skeletal Muscle Metabolic Problem*, Inverse Problems and Imaging, 1(2), 2007, pp. 247-263. doi: 10.3934/ipi.2007.1.247

**K. Tunyan**, K. Egiazarian, A. Tuniev, and J. Astola, *An Efficient Approach to Linear Least Squares Problem*, SIAM Journal on Matrix Analysis and Applications, 26 (2), 2004, 583-598.

K. Tunyan, *On Pivot Rules for Simplex Method of Interior Points, and their Investigation on Klee-Minty Cube*, Facta Univ. Ser.: Elec. Energ., vol. 15, **2**, 2002, 281-294.

**K. Tunyan** and A.Tuniev, *On One Property of the Solution, Obtained by the Generalized Elimination Methods*, Mathematical Problems of Computer Science, **21**, 2000, 36-41.

K. Tunyan, *New Pivot Rules for Simplex Method of Interior Points and their Investigation on Klee-Minty Cube*, Mathematical Problems of Computer Science, **20**, 1998, 49-53.

#### Presentations / Conferences

K. Tunyan, *3D Printing Adventures with Mathematica and OpenScad*, Abstracts, International Conference on Teaching Collegiate Mathematics (ICTCM 2020), Orlando, Florida, March 2020.

I. Shablinsky, **K.Tunyan**, (authors are listed in the alphabetical order), *Hidden Treasures of OS X and iOS 9 (iPad Pro)*, Abstracts, International Conference on Teaching Collegiate Mathematics (ICTCM 2017), Chicago, Illinois, March 2017.

K. Tunyan, *Big Data and Simplex Method of Interior Points*, Abstracts, World Congress on Global Optimization (WCGO 2015), Gainesville, Florida, USA, February 2015.

**K. Tunyan** and A.Tuniev, *On One Property of Linear Equations System Solution Obtained by Generalized Elimination Methods*, Proceedings of the Conference on Computer Science and Information Technologies (CSIT’01), Yerevan, Armenia, 2001, 503-506.

**K. Tunyan** and A.Tuniev, *On Some Directions for Solving General Problem of Linear Programming by Finite Methods*, Proceedings of the Conference on Computer Science and Information Technologies (CSIT’01), Yerevan, Armenia, 2001, 437-440.

K. Tunyan, *Development of Cholesky Decomposition*, Proceedings of the Seminar on Algebra, Geometry & Their Applications, Yerevan’2001, Yerevan State University, **1**, 2001, 46-53.

**K. Tunyan**, K.Egiazarian, and J.Astola, *Modified FOCUSS Algorithm Using a New Class of Pseudoinverses*, Proceedings of the International TICSP Workshop on Spectral Methods and Multirate Signal Processing, SMMSP’2001, TICSP Series, **13**, Pula, Croatia, June 2001, 81-84.

**K. Tunyan**, K.Egiazarian, A.Tuniev, and J.Astola, *Solving Linear Least Squares Problems by Partial Orthogonalization Process*, Proceedings of the Workshop on Spectral Techniques and Logic Design for Future Digital Systems, TICSP Series, **10**, Tampere, Finland, December 2000, 603-610.

A. Tuniev and **K.Tunyan**, *On New Pivot Rules for Simplex Method of Interior Points*, Abstracts, 17^{th} International Symposium on Mathematical Programming, Atlanta, USA, 2000, 202-203.

**K. Tunyan**, J.Astola, D.Akopian, and A.Tuniev, *Development of A-orthogonalization Process and its Possible Applications*, Proceedings of the Conference on Computer Science and Information Technologies (CSIT’99), Yerevan, Armenia, 1999, 321-324.

K. Tunyan, *Product Form of One Analogy of Inverse and Moore-Penrose Inverse, its Application*, Proceedings of the Conference on Computer Science and Information Technologies (CSIT’99), Yerevan, Armenia, 1999, 294-298.

K. Tunyan, *Investigation of Simplex Method of Interior Points on Klee-Minty Cube*, Proceedings of the Conference on Computer Science and Information Technologies (CSIT’99), Yerevan, Armenia, 1999, 299-303.

**K. Tunyan**, A.Tuniev, *Combining the Simplex Method of Interior Points with Dikin’s Ellipsoidal Method*, Proceedings of the Conference on Computer Science and Information Technologies (CSIT’99), Yerevan, Armenia, 1999, p110-p114.