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 38 for “"Matrix inversion"”.
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Macmahon's Master Theorem And Infinite Dimensional Matrix Inversion
… We also study a specific infinite dimensional matrix inverse due to C. Krattenthaler.
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Approximate inference in Gaussian graphical models
… is exposed in the inverse of the covariance matrix. Such models are commonly used in a variety of fields, including remote sensing, computer vision, biology and sensor networks. Inference in Gaussian models reduces to matrix inversion, but for very large-scale models and for models requiring …
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Completely Recursive Least Squares and Its Applications
<p>The matrix-inversion-lemma based recursive least squares (RLS) approach is of a recursive form and free of matrix inversion, and has excellent performance regarding computation and memory in solving the classic least-squares (LS) problem. It is important to generalize RLS for generalized LS …
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Advances in Nonconvex and Robust Optimization
… Namely, we formulate linear systems, matrix inversion, eigenvalues-eigenvectors and matrix factorization under uncertainty, as robust optimization problems using appropriate descriptions of uncertainty. We show that for both linear systems and matrix inversion, the robust approach …
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Power and Voltage Drop Analyses in VLSI Circuits
… bottleneck of voltage drop analysis lies in the matrix inversion that is involved in solving the circuit equations of the power/ground bus. To remove the bottleneck, we proposed an algorithm to quickly estimate the cycle-by-cycle maximum voltage drop values of a circuit driven by an input …
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Computationally Efficient Multiuser and MIMO Detection based on Dichotomous Coordinate Descent Iterations
… promising alternative to the sphere decoder. The matrix inversion is required in many applications. The complexity of matrix inversion is too high and makes its implementation difficult. To overcome the problem, we propose an approach based on the DCD algorithm to simplify the matrix inversion. …
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Improving an IBM type 650 digital computer operation by programming the inverse of a partitioned matrix as used in the analysis of rectangular rigid frames
… of slope deflection a high order stiffness matrix needs to be inverted. Existing computer programs for the IBM Type 650 Computer are entirely too time consuming when the matrix coefficients and program instructions exceed the storage capacity of the computer drum. The method described in …
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Integrated Photonic Iterative Processors for Computing
… processors (PIPs) with optical loopback for matrix inversion and related applications happen to be one of such examples towards a more practical optical processor. By enabling direct loopback in the optical domain across different iterations, PIPs significantly reduce data I/O demands, …
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Tensor formulations for the modelling of discrete-time nonlinear and multidimensional systems.
… that a solution can be obtained directly without matrix inversion. Using a tensor formulation, a new proof of the Generalized Lattice Theory is obtained. Tensor extensions of the Levinson and Schur algorithms are presented. New two-dimensional (2-D) lattice parameter models are derived. Using the …
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A fast multi-purpose circuit simulator using the latency insertion method
… circuits significantly faster than traditional matrix inversion-based methods such as SPICE. In this work, we propose the use of LIM as a multi-purpose circuit simulator. While LIM originated mainly as a means for performing fast transient simulations of high-speed interconnects characterized by …
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A thermodynamic simulation model for storage of corn
… using the implicit finite difference method with matrix inversion for an axisymmetric body with 36 annular elements. The bulk moisture diffusivities were determined using five mixing models(parallel, series, equivalent-resistor, modified Maxwell, and geometric mean). Five phase conversion …
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Space-time Processsing for the Wideband-CDMA System
… Assisted (PSA) beamforming techniques, Direct Matrix Inversion (DMI), Least-Mean Square (LMS) and Recursive Least Square (RLS) adaptive algorithms. Two different Geometrically Based Single Bounce (GBSB) statistical channel models are considered, one, which is more suitable for array processing, …
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Communication Synthesis for MIMO Decoder Matrices
… is designed to optimize performance with matrix-type mathematical operations. The largest matrices used in this process are 4x4 matrices. The primary example modeled in this work is MIMO decoding. Making this possible are 16 functional unit containers within the framework, with generalized …
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Space Time Processing for Third Generation CDMA Systems
… low-complexity algorithm, termed as the Adaptive Matrix Inversion (AMI), to solve the GE. We compare the performance of the AMI to other existing algorithms. Comparison between different techniques to form the GE is also compared. The MSINR based beamforming is demonstrated to be superior to the …
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The location-estimating, null-steering (LENS) algorithm for adaptive microphone-array processing
… (the LENS equiwdent of direct covariance matrix inversion processing for traditional systems). Simulations demonstrate that this relaxation-based implementation can combine efficient implementation, fast beamformer adaptation, and good beamforming performance, which is difficult to achieve …
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Python Implementation of Batch Least-Squares Filter for Satellite Orbit Determination
… integrator, explicitly calling FORTRAN code. Matrix inversion was solved using the SciPy banded solver function, a wrapper for the LAPACKdgbsv function, also written in FORTRAN. Frame conversions between ITRS (ECEF), GCRS (ECI), and ICRS (J2000) were handled using Astropy.</p> <p>A suite of …
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Implementation of Instantaneous Frequency Estimation based on Time-Varying AR Modeling
… such as Gaussian elimination or direct matrix inversion are computationally inefficient for solving such a system of equations especially when the covariance matrix has a high order. We implement two recursive algorithms for efficiently inverting the covariance matrix. First, we …
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Development of polarizable force fields for proteins
… are included, we proposed a coupled polarization matrix inversion and iteration method (CPII). We were able to achieve convergence within 15 iterations for all the systems under consideration in which the iterative method shows divergence or oscillation. The second model, called the explicit …
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Image reconstruction and imaging configuration optimization with a novel nanotechnology enabled breast tomosynthesis multi-beam X-ray system
… (BP), filtered back-projection (FBP), matrix inversion tomosynthesis reconstruction (MITS), maximum likelihood expectation maximization (MLEM), ordered-subset maximum likelihood expectation maximization (OS-MLEM), simultaneous algebraic reconstruction technique (SART), were implemented …
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