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 20 of 33 for “"Matrix equations"”.
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Solutions of Matrix Equations
… matrices A and B can make many different matrix equations, e.g., <em>AB</em> = <em>BA</em>, <em>AB</em> = <em>AA</em>, <em>ABA</em> = <em>BAB</em>, and <em>AAB</em> = <em>BAA</em>. It is not always easy to describe solutions to these matrix equations. This thesis considers the problem of …
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Bounds for the solution of algebraic matrix equations arising in mathematical control theory
… bounds of algebraic Lyapunov and Riccati equations are highly important in control problems, and have been an attractive re search topic over the past three decades. The solution bounds give solution estimates, and can also be applied to solve such problems involving these equations, …
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Iterative Solution of Matrix Equations for Symmetric Matrices Possessing Positive and Negative Eigenvalues
Made available in DSpace on 2014-12-13T18:02:12Z (GMT). No. of bitstreams: 1 8009149.pdf: 1281854 bytes, checksum: 9f64b6dbac35e0e479827eaf188ed0c7 (MD5) Previous issue date: 1979
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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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Numerical solutions of matrix equations arising in model reduction of large-scale linear -time -invariant systems
… thesis presents and analyzes new algorithms for matrix equations arising from model reduction of linear-time-invariant (LTI) systems. Such systems arise in a variety of areas, especially in circuit simulation. When an integrated circuit has millions of devices, performing a full-system simulation …
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TRUSS ANALYSIS USING SINGULAR IMBEDDING METHOD
… of this method is based upon three sets of equations; equilibrium conditions, compatibility relationships, and Hooke's law of material.</p><p>The final structural stiffness matrix equations are constructed for the different types of constraints. The unknown member areas are determined from …
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A Structure-based Attack on the Linearized Braid Group-based Diffie-Hellman Conjugacy Problem in Combination with an Attack using Polynomial Interpolation and the Chinese Remainder Theorem
… to the problem of solving several simultaneous matrix equations. A first improvement is achieved by reducing the solution space of the matrix equations to matrices that have a specific structure, which we call here the left braid structure. Using the left braid structure the number of matrix …
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Multilevel solution procedures for structural dynamics eigenvalue problems
… the multigrid algorithm for solving linear matrix equations is incorporated into the subspace iteration and block Lanczos methods to produce implicit subspace and Lanczos multigrid methods. The nested iteration technique is adopted to produce the initial trial vectors. Second, the basic …
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Multiple steady solutions and bifurcations in the symmetric driven cavity
… via numerical computations of the Navier Stokes equations with constant density. The numerical integration is a splitting method, using the Crank-Nicholson method for linear terms and the second-order Adams-Bashforth method for the non-linear terms. Spatial derivatives are evaluated with finite …
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Parallel multilevel procedures for elastoplasticity computations in solid mechanics
… is used to linearize the nonlinear equilibrium equations. The multigrid method is then used to solve the linear matrix equations at each Newton-Raphson iteration step. This algorithm uses a relaxation method to quickly eliminate the high frequency components of the error associated with a …
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Algebraic synthesis methods for linear multivariable control systems
… Problems) , via the algebraic framework of Matrix Fractional Representation . (MFR) - i.e. the representation of the transfer matrices of the system as matrix fractions over the ring of interest - results to the study of matrix equations over rings , such as : A . X + B . Y = C , (X. A + Y . …
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On the vibration analysis of a complex foundation
… a detailed discussion of the development of the matrix equations used in the vibration analysis of a lumped-mass approximation of a multi-anchor piping system or foundation structure. The investigation is presented in two main sections, the first of which presents a formulation of the matrix …
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The numerical solution of waveguide discontinuity problems
… are obtained by the simultaneous solution of matrix equations, generated by Fourier analysis, which relate the complex amplitudes of orthogonal electric and magnetic field components. In some cases the solution is found to be sensitive to the way in which infinite series of field functions are …
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On improving the low-frequency performance of full-wave modeling techniques
… be interpreted in the same way in terms of their matrix equations. Both the moment method matrix and the finite element matrix have a singular component that dominates at low frequencies. Thus the problem can be solved in a similar way. This dissertation addresses the low frequency problems in the …
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Image reconstruction on electrical resistance tomography measurements in a settling process
… but is designed to operate on complex data and matrix equations in multiple dimensions. This thesis discusses the methods in reasonable detail and highlights several issues, including ill-conditioning, and regularisation as a method to improve the conditioning of the data. The results contain …
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High-frequency electromagnetic wave scattering from rough surfaces
… (MoM) solution, because it does not involve matrix equations, which makes solving the full three-dimensional problem possible. The numerical results, obtained by implementing the SBR technique in solving the scattering problem by one-dimensional random rough surfaces, are compared to the …
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The effect of random internal motions on the angular orientation of a free body with limit control
… nature and must be treated stochastically. The equations of motion for the spacecraft are solved to obtain a simple relationship between individual crew motions and the angular change in spacecraft orientation. For the majority of manned spacecraft, the angular changes about the three principal …
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Proper Orthogonal Decomposition for Reduced Order Control of Partial Differential Equations
… models of PDE systems can involve very large matrix equations, but feedback controllers for these systems must be computable in real time to be implemented on physical systems. Classical control design methods produce controllers of the same order as the numerical models. Therefore, reduced …
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The Cell Analytic-Numerical Method for Solution of the Groundwater Solute Transport Equation
… of coupled one-dimensional ordinary differential equations for the concentration moments. This set of equations is solved analytically in terms of "source-like" expressions (the approximated time derivative along with the resulting integrated-terms evaluated at the cell surfaces of the …
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