Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 10 of 10 for “"M-matrix"”.
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Studies on quadratic matrix equations and riccati differential equations associated with regular m-matrices
The thesis is mainly about the quadratic matrix equation X2- EX- F = 0, where E is a diagonal matrix and F is a regular M-matrix. Quadratic matrix equations of this kind arise in noisy Wiener-Hopf problems for Markov chains. The solution of practical interest is a special M-matrix solution. The …
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Analysis and Numerical Methods for Algebraic Riccati Equations Associated with Regular M-Matrices
… the four coe cient matrices form a regular M-matrix K. We prove a property about minimal nonnegative solutions of such an algebraic Riccati equation and its dual equation. And we show that Newton's method, SDA, ADDA are well-de ned and quadratically convergent in non-critical case. Then we …
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Block Toeplitz operators with rational symbols and discrete singular systems
… in (0.1) is the usual operator norm on an m x m matrix. The condition (0.1) means that the symbol 00 ( 0.2) v=-oo belongs t.o the Wiener class w mxm of all absolutely convergent sequences of complex m x m matrices. Let 1 ~ p ~ oo be fixed. The block Toeplitz operator T induces a bounded linear …
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Robust stabilization of linear time-invariant uncertain systems via Lyapunov theory
… = A̅(γ)x(t) +B̅(γ)u(t), where A̅(γ) is an n x n matrix and B̅(γ) is an n x m matrix. Lyapunov theory is exploited to establish the conditions for stabilizability of the closed loop system. We consider a Lyapunov function with an uncertain symmetric positive definite matrix P. The uncertain matrix …
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Advances in the stochastic and deterministic analysis of multistable biochemical networks
… based on a Weakly Chained Diagonally Dominant M-matrix formulation of the Chemical Master Equation and c) an algorithm that is able to construct non-reversible Markov chains with desired stationary probability distributions. We subsequently prove that, for multisite protein phosphorylation and …
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Efficient algorithms for learning mixture models
… study the problem of estimating a low rank M x M matrix which represents a discrete distribution over M2 outcomes, given access to sample drawn according to the distribution. We propose a learning algorithm that accurately recovers the underlying matrix using 9(M) number of samples, which …
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Improved genetic algorithm for distribution system performance analysis by taking advantage of essential spanning trees
… is accomplished by replacing the so-called M matrix and its associated process with the random selection of b essential branches, where b is the number of fundamental loops in the system. Essential branches are branches between essential nodes, where essential nodes are buses that connect at …
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Positive-off-diagonal Operators on Ordered Normed Spaces and Maximum Principles for M-Operators
M-matrices are extensively employed in numerical analysis. These matrices can be generalized by corresponding operators on a partially ordered normed space. We extend results which are well-known for M-matrices to this more general setting. We investigate two different notions of an M-operator, …
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SATB1 binds to multiple sites in the GP91-phox promoter and represses gene expression
This document only includes an excerpt of the corresponding thesis or dissertation. To request a digital scan of the full text, please contact the Ruth Lilly Medical Library's Interlibrary Loan Department (rlmlill@iu.edu).
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Hypergraph-Based Combinatorial Optimization of Matrix-Vector Multiplication
… thesis, we will describe our work on optimizing matrix-vector multiplication using combinatorial techniques. Our research has focused on two different problems in combinatorial scientific computing, both involving matrix-vector multiplication, and both are solved using hypergraph models. For both …