Essays about: "polynomial matrices"
Showing result 6 - 10 of 12 essays containing the words polynomial matrices.
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6. Accelerated Density Matrix Iterations Using Eigenvalue Gaps
University essay from Uppsala universitet/Institutionen för informationsteknologiAbstract : Density and Fock matrices play a significant role in electronic structure calculations, and there exist several methods to compute the density matrix from a given Fock matrix. One such method isdensity matrix purification, in which the eigenspectrum of the Fock matrix is scaled into the [0,1]interval and the Fock matrix is afterwards iterated with a sequence of polynomials that push theeigenvalues towards 1 and 0. READ MORE
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7. Implementing two Threshold Private Set Intersection Protocols based on Homomorphic Encryption
University essay from Lunds universitet/Institutionen för elektro- och informationsteknikAbstract : Private set intersection is a technique for finding the intersection of (two) parties' sets without disclosing anything else, and it finds it use in e.g. contact discovery, finding friends who are already on a social platform. READ MORE
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8. Hybrid Differential Dynamic Programming Algorithm for Low-Thrust Trajectory Design Using Exact High-Order Transition Maps
University essay from KTH/RymdteknikAbstract : Optimal orbital trajectories are obtained through the solution of highly nonlinear large scale problems. In the case of low-thrust propulsion applications, the spacecraft benefits from high specific impulses and, hence, greater payload mass. READ MORE
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9. Coefficients and zeros of mixed characteristicpolynomials
University essay from KTH/Matematik (Avd.)Abstract : The mixed characteristic polynomial (MCP) was introduced in the papersof Marcus, Spielman and Srivastava from 2013 on Ramanujan graphs and the Kadison-Singerconjecture. Several known results and open problems can be formulated in termsof MCPs. The proofs of Marcus, Spielman and Srivastava involve bounding theroots of certain MCPs. READ MORE
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10. Singular and de Rham cohomology for the Grassmannian
University essay from Göteborgs universitet/Institutionen för matematiska vetenskaperAbstract : We compute the Poincar e polynomial for the complex Grassmannian using de Rham cohomology. We also construct a CW complex on the Grassmannian using Schubert cells, and then we use these cells to construct a basis for the singular cohomology. READ MORE