Advanced search
Showing result 1 - 5 of 12 essays matching the above criteria.
-
1. A C++ Matrix library for computing the Gateaux derivative of the Fermi-Dirac operator
University essay from Uppsala universitet/Avdelningen för beräkningsvetenskapAbstract : Computing the Fermi-Dirac operator is done through recursive polynomial expansions, using the SP2 and SP2 Acc algorithms. The Gateaux derivative is computed for both schemes by mapping the zeroth and first order matrices onto a block upper triangular matrix, which is implemented in Python using Numpy arrays to store full matrices and in C++ by first constructing a basic matrix library to use as blocks in a later created block upper triangular matrix library which only directly references two blocks in a 2 x 2 block matrix. READ MORE
-
2. Randomized Diagonal Estimation
University essay from KTH/Matematik (Avd.)Abstract : Implicit diagonal estimation is a long-standing problem that is concerned with approximating the diagonal of a matrix that can only be accessed through matrix-vector products. It is of interest in various fields of application, such as network science, material science and machine learning. READ MORE
-
3. A geometric approach to calculating the limit set of eigenvalues for banded Toeplitz matrices
University essay from Lunds universitet/Matematik LTHAbstract : This thesis is about the limiting eigenvalue distribution of n × n Toeplitz matrices as n → ∞. The two classical questions we want to answer are: what is the limit set of the eigenvalues, and what is the limiting distribution of the eigenvalues. Our main result is a new approach to calculate the limit set Λ(b) for a Laurent polynomial b, i.e. READ MORE
-
4. De-quantizing quantum machine learning algorithms
University essay from Linköpings universitet/InformationskodningAbstract : Today, a modern and interesting research area is machine learning. Another new and exciting research area is quantum computation, which is the study of the information processing tasks accomplished by practising quantum mechanical systems. This master thesis will combine both areas, and investigate quantum machine learning. READ MORE
-
5. Exploring and extending eigensolvers for Toeplitz(-like) matrices : A study of numerical eigenvalue and eigenvector computations combined with matrix-less methods
University essay from Uppsala universitet/Institutionen för informationsteknologiAbstract : We implement an eigenvalue solving algorithm proposed by Ng and Trench, specialized for Toeplitz(-like) matrices, utilizing root finding in conjunction with an iteratively calculated version of the characteristic polynomial. The solver also yields corresponding eigenvectors as a free bi-product. READ MORE
