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Showing 1 to 18 of 18 for “"Matrix Algebra"”.
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Projections of Information Power and Users' Perception of a Project Control System in a Research Organization
… in information interdependency relationships. Matrix Algebra techniques are used to estimate a person's information power. This study investigates the extent to which researchers (users) with different information power perceive differently the importance of a project control system (MIS). The …
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Kippenhahn's Conjecture: Counterexamples and Quantisation
Linear pencils are algebraic structures defined by linear polynomials in several real variables,whose coefficients are hermitian matrices. Alternatively, they may be viewed as matrices whose entries are linear polynomials in the variables in question. By requiring that the matrix thus defined be …
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A general formal model for representing test item results
… A symbolic approach within the framework of matrix algebra is proposed in this study as a good representation for modelling the learner's state of knowledge. This form of representation allows for mathematical manipulations and operations on the entities that make up these matrices. This …
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Matrix analysis of rigid frames
The matrix power series method of inversion is impractical, since the series diverges, or converges extremely slowly, except in the analysis of very special and, usually, impractical frames. Dwyer’s method, Zurmuhl’s method, and the method of partitioning, used with discrimination, suffice to …
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ΣΤΑΤΙΚΗ ΚΑΙ ΔΥΝΑΜΙΚΗ ΕΠΙΛΥΣΗ ΤΟΥ ΚΥΛΙΝΔΡΙΚΟΥ ΠΛΑΙΣΙΟΥ ΠΛΕΓΜΑΤΟΣ
… THE METHODOLOGY BEING INTRODUCED, BASED ON THE MATRIX ALGEBRA, SUCCEEDS IN GIVING A BRIEF FORMULATION AND SOLUTION OF THE PROBLEM IN THE CASE: I) OF A GENERIC GEOMETRICAL CONSTRUCTION; II) OF AN ARBITRARY EXTERNAL STATIC LOADING AND A SPECIAL DYNAMIC ONE; III) WHEN THE SUPPORT-DISPLACEMENTS OF …
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CorMem digital reasoning architecture using CMOS Technology
… The combination of multi-level architectures and matrix algebra principles can create flexible, modular systems using standard fabrication methods and can avoid many of the limitations of other multi-valued logic approaches.</p><p>Quaternary, memory-based systems are developed to implement …
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Decentralized pole placement using polynomial matrix fractions
… are established using polynomial matrix algebra. The second part deals with the solution of decentralized pole placement problem, in particular, finding a decentralized controller which assigns some set of desired poles. The solution strategy is to reduce the controller’s order as …
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Modelling of induction motors for system faults and transient stability studies
… motor transient performance. A technique using matrix algebra was developed to allow extension of the three phase co-ordinate method to analyse asymmetrical and symmetrical faults on both sides of the three phase delta-star transformer which is usually required when connecting large induction …
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Accelerating Artificial Intelligence with Programmable Silicon Photonics
… can be programmed to implement accurate linear matrix processing suitable for deep neural networks at scales of up to hundreds of channels; 2) we describe a new paradigm for coupling large numbers of optical channels to photonic circuits with exceptionally high alignment tolerance, enabling the …
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Interpreting optical signals in shelf sea environments
… to give constituent concentrations using linear matrix algebra is considered, as previous authors reported that this gave encouraging results. Two problems were identified when IOP inversion was tested using synthetic data. First, the results obtained degraded rapidly in response to increasing …
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Optimal Design and Control of Multibody Systems with Friction
… formulation and various techniques like sparse-matrix algebra and Jacobian-free products have been employed in the implementation. The dissertation concludes with a summary of key results and contributions and the future scope for this research.
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Three-Dimensional Loss Effects of a Solenoidal Inductor with Distributed Gaps
… design approach is presented, leveraging matrix algebra to succinctly represent the decision quantities as functions of the two most important variables to the application. The procedure results yield several informative plots that assist in selecting a design that meets the efficiency and …
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Order of magnitude scaling of complex engineering problems, and its application to high productivity arc welding
… transformed into a significantly simpler set of algebraic equations. This transformation is possible through the combination of dimensional analysis and asymptotic considerations. A new condition is introduced for normalization: that the dimensionless functions vary smoothly. This essential …
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Simplified system dynamics: a methodology for corporate modelling
… the system being modelled. Introduction of the matrix algebra concepts of Input-Output Analysis enables systems to be represented as vectorised networks, which in turn facilitate the construction of less aggregated models. A series of ten applications of the simplified System Dynamics …
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Integrated Photonic Iterative Processors for Computing
… certain signal processing and linear algebra computations due to their in-propagation computation, inherent high parallelism, large bandwidth, low latency, low energy consumption, and low crosstalk. The in-propagation computation feature significantly reduces data I/O demands during …
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Some aspects of fitting multinomial models in a GLM framework
… simple form of the Cholesky decomposition to a matrix that consists of diagonal sub - matrices to find the iterative weight matrix W ij. This method requires no matrix algebra facilities as all the calculations are carried out in an array format. This makes it amenable to implementation in most …
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Biplot graphical display techniques
… assuming a standard statisticians' knowledge of matrix algebra, and on the interpretation of the various plots. The topic falls in the realm of descriptive statistics. As such, the methods are chiefly exploratory. They are a means of summarising the data. The data matrix is represented in a …
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Separability between signal and noise components using the distribution of scaled Hankel matrix eigenvalues with application in biomedical signals.
… of the eigenvalues of a scaled Hankel matrix, and on dynamical systems, embedding theorem, matrix algebra and statistical theory. The research demonstrates that the proposed approach can be considered as an alternative and promising technique for choosing the optimal values of r and L …