CMS1. Structured Matrix Equations |
Organizers: Eric King-wah Chu (Monash University, AUSTRALIA, eric.chu@monash.edu ) Hung-Yuan Fan (Na-tional Taiwan Normal University, TAIWAN, hyfan@ntnu.edu.tw ) Description: The theory and numerical solution of matrix equations are important in many applications, in wide range of elds in mathematics and statistics, engineering and computer science. Our speakers have worked on various theoretical and numerical aspects of linear and nonlinear matrix equations for more than thirty years. In ILAS2014, we propose to talk about some of our recent work in matrix equations, with emphasis on the impact of their specic structures, such as sparseness and deniteness, on their numerical behaviour and solution. The topics of the talks include linear equation approach for linear discriminant analysis algorithm, tensor linear equations for PDEs in high dimensions, large-scale generalized Lyapunov and Stein equations for the solution of rational Riccati equations and stochastic optimal control, and the small sample statistical condition estimation for generalized Sylvester equations. Speakers: |
CMS2. Inverse Spectral Problems |
Organizers: N. Bebiano (University of Coimbra, PORTUGAL), bebiano@mat.uc.pt Carlos M. da Fonseca (Kuwait University, KUWAIT, cmfonsec@dei.uc.pt) Description: The main purpose of this MS is to stimulate interactions of researchers of different geographic areas in the important field of inverse spectral problems. Recent advances in this area will be discussed and new ideas will be exchanged. This will be a special occasion for enlarging horizons and to raise new problems, technical approaches, and applications. Speakers: |
CMS3. Matrix Geometry |
Organizers: Description:
We will discuss about “Matrix Geometries" Speakers: |
CMS4. Teaching Linear Algebra |
Organizers: Description: This mini-symposia on “Teaching of Linear Algebra”, should serve as a forum to share and discuss teaching these two aspects and their importance. We plan to have presentation by experts having years of experiences in teaching Linear Algebra to bring out its geometric aspects. There will be presentations on interactive and innovative teaching of linear algebra using some of the mathematical tools like Sage, Mathematica, MathDisk to bring out computational aspects and its use in some of the real life problems. Speakers: |
CMS5. Algebraic Combinatorics and Combinatorial Matrices |
Organizers: Description: The title of the proposed mini symposium is \Algebraic combinatorics and com- binatorial matrices". Algebraic combinatorics is a fast-growing area which has many connections with various areas in mathematics. In this proposed mini symposium we focus on the role of matrices in algebraic combinatorics. Speakers: |
CMS6. Linear Least Squares and Applications |
Organizers: Description: Linear least squares is a classical linear algebra problem in scientic computing, arising for instance in parameter estimation or data assimilation problems. This minisymposium will high-light novel aspects in the solution and the numerical issues of linear least squares problems as well as the potential applications. In this context, speakers will discuss orthogonalization schemes for indenite least squares, Jacobi method for lattice basis reduction (that can be applied to integer linear least squares), conjugate gradient methods for large sparse linear least squares and iterative methods for constrained least squares. The talks will also address recent results for the condition numbers of linear least squares and Moore-Penrose inverse (closed formulas and bounds), including their computation on current multicore+GPU parallel machines. Speakers: |
CMS7. Generalized Laplacian and Green Matrices |
Organizers: Description: The proposed mini-symposium will give an opportunity to communicate the latest developments in the area and its applications, presenting some current research and stimulating new ideas and collaboration. For this goal we will bring together some of the most renowned experts in the area, as well as promising young researchers. Speakers: |
CMS8. Eigenvalue Computations and Applications |
Organizers: Description: Eigenproblems appear ubiquitously all across applied science and engineering, and their solutions are routinely sought and are critical in one way or another to various scientic computational tasks. A lot of progress both in algorithmic advances and software development has been made, but even more remains to be done, especially for large and sparse matrix computational problems which remain challenging and are expected continuing to be that way for a long time. The ten talks in this proposed minisymposium focus on eigenvalue problems of important scientic applications, including the quadratic/palindromic eigenvalue problem in the vibration analysis of rail tracks under excitation for high speed trains, the linear response eigenvalue problem arising from computing excitation states (energies) of physical systems in the study of collective motion of many particle systems, the Schrodinger eigenvalue problem, the eigenvalue problem for photonic crystals, the inverse eigenvalue problem for nonnegative matrices, and certain nonlinear matrix equations whose solutions are critically eigen-dependent. Collectively, talks cover both numerical innovations and theoretical advances. Speakers: |
CMS9. Inequalities in Matrices, Operators, and Lie Groups |
Organizers: Description: The proposed mini-symposium aims to promote and stimulate interactions of mathematicians and scientists in the area of matrix inequalities in a broad sense. Topics cover all inequalities of any type concerning matrices, operators, and Lie groups. Speakers: |
CMS10. Matrix Methods in Computational Systems Biology and Medicine |
Organizers: Description: Coarse graining methods aim at an efficient trade off between accuracy and complexity. Here in this minisymposium different coarse graining problems in the field of Evolutionary Biology, Molecular Systems Biology, and Bio-Medicine are considered. The coarse graining tools based on matrix methods include but are not limited to dimension reduction techniques such as Singular Value Decomposition (SVD), Principal component analysis (PCA), Spectral Clustering, Latent Semantic Indexing, Nonlinear Dimension Reduction, and Inverse Eigenvalue Problems. The minisymposium addresses deterministic and stochastic frameworks. Speakers: |
CMS11. Solution of Sylvester-like Equations and Canonical Forms |
Organizers: Description: The subject of the minisymposium is "Solution of Sylvester-like equations and canonical forms", and the scope is theoretical oriented (necessary and sufficient conditions for solvability, formula for the solutions, properties of solutions, etc.) with an emphasis in analyzing the transformations, and the corresponding canonical forms, used in the solution of these equations (Jordan form of matrices, Kronecker form of pencils, canonical form for congruence, etc). We are also interested in possible applications and connections between Sylvester-like equations and related topics (like orbit closures and versal deformations). Speakers: |
CMS12. Generalized Matrix Inverses and Applications |
Organizers: Description: Generalized inverses cover a wide range of mathematical areas, including matrix theory, operator theory,-algebras or rings. Its applications are seen in a diversity of areas, among which are in statistics, diffcrential equations, numerical analysis, Markov chains, graph theory, cryptography, control theory, coding theory, data recovery and robotics. This mini-symposium will highlight recent work of researchers on theoretical and applied aspects of generalized inverses. The talks will he on a variety of topics induding perturbation theory of generalized inverses, core inverses, Moore-Penrose generalized inverses and RG-factorization with applications to stochastic models inc1uding discrete-time and continuous-time Markov chains Speakers: |
CMS13. Sign Pattern Matrices |
Organizers: Description: The study of sign pattern matrices is a very important and active area of research. The recent years have witnessed unprecedented expansion in research activities in this area, as reflected in the large number of new research results and references included in the revised and enlarged chapter on sign pattern matrices in the newly published second edition of Handbook of Linear Algebra. As another indication of the significance of sign pattern matrices, the AMS Subject Classification system introduced the classification 15B35 several years ago just for the study of Sign Pattern Matrices. As many graph theoretic and combinatorial concepts, techniques and results are heavily used in the study of sign patterns and their generalizations, the study of sign patterns and their generalizations have become a substantial and central part of combinatorial matrix theory. Speakers: |
CMS14. Recent Developments in Linear Preserver Problems |
Organizers: Description: The study of the invariants of maps has been an ongoing topic of research for centuries. The eigenvalue-eigenvector problem is one of the most basic and fundamental of these. The study of invariants of linear transformations on matrix spaces began over a century ago. This research involved two basic types of questions. First: what are the invariant sets given a linear transformation (the eigenvalue-eigenvector problem)? And second: given a set or function what are the linear transformations that leave that set or function invariant? When the transformations are between sets of matrices, that study was begun by Frobenius in 1897 when he classified linear operators that preserve the determinant function. Speakers: |