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Numerical methods for Toeplitz matrices / by Douglas Robin SweetSweet, D. R. January 1982 (has links)
Typescript (photocopy) / 2 v. : ill. ; 30 cm. / Title page, contents and abstract only. The complete thesis in print form is available from the University Library. / Thesis (Ph.D.)--University of Adelaide, Dept. of Computer Science, University of Adelaide, 1982
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Quantum states, maps, measurements and entanglementKuah, Aik-Meng, 1972- 28 August 2008 (has links)
The structure of the set of density matrices, its linear transformations, generalized linear measurements, and entanglement are studied. The set of density matrices is shown to be a convex and stratified set with simplex and group symmetries. Generalized measurements for density matrices are shown to be reducible to one unitary transformation and one von Neumann measurement carried out with an ancillary system of fixed size. Linear maps of density matrices are considered and the volume of the set of maps is derived. Positive but not completely positive maps are studied in consideration of obtaining a test for entanglement in density matrices. Using the Jamiolkowski representation and Schmidt decomposition of the map eigen matrices, several properties of these maps are shown. An algebraic approach to constructing these positive but not completely positive maps is partially formulated. The positivity of the linear map describing the evolution of an open system and its dependence on the initialized to a zero-discord state, the evolution is shown to be given by a completely positive map. In quantum process tomography, the results obtained from a open system that is initially prepared using von Neumann measurements is shown to be described by a bi-linear map, not a linear map. A method for quantum process tomography is derived for qubit bi-linear maps. The difference between preparing states for an experiment by measurement and by stochastic process is analyzed, and it is shown that the two different methods will give fundamentally different outcomes. / text
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Some results on pinching matricesKo, Chiu-chan., 高超塵. January 2003 (has links)
published_or_final_version / abstract / toc / Mathematics / Master / Master of Philosophy
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Iterative methods for solving Toeplitz systems generated by rational functions陳鴻昌, Chan, Hung-cheong. January 1995 (has links)
published_or_final_version / Mathematics / Master / Master of Philosophy
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The best circulant preconditioners for ill-conditioned toeplitz systems葉明亨, Yip, Ming-ham. January 2000 (has links)
published_or_final_version / Mathematics / Master / Master of Philosophy
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Some results on generalized spectral radii, numerical radii and spectral normsLi, Chi-kwong, 李志光 January 1986 (has links)
published_or_final_version / Mathematics / Doctoral / Doctor of Philosophy
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The symmetric Lanczos process and eigenvalues of tri-diagonal matrices /Rafla, Nabil Helmi January 1976 (has links)
No description available.
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Stable matricesBirkbeck, Peter J. January 1974 (has links)
No description available.
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Frequency domain transmission line matrix method and its applications to electromagnetic analysisHuang, Jifu 06 May 2015 (has links)
Graduate
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A paucity of pernicious permanentsDeschamp, Brent. January 2006 (has links)
Thesis (Ph. D.)--University of Wyoming, 2006. / Title from PDF title page (viewed on April 1, 2008). Includes bibliographical references (p. 103-104).
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