http://crd.lbl.gov/~xiaoye/SuperLU/SLU-Highlight.gif. http://www.cise.ufl.edu/research/sparse/matrices/ Link analysis of the web. Web page = vertex ...
Matching and block triangular form Dulmage-Mendelsohn decomposition: ... minimum-size vertex cover in a bipartite graph decomposition into strong Hall blocks ...
http://www.cs.ucsb.edu/~gilbert/cs290. The Landscape of Sparse Ax=b Solvers. Direct ... One matrix-vector multiplication per iteration. Two vector dot products ...
A structure theory of bipartite graphs of finite exterior dimension.' Trans. Royal Soc. Can., ser. 3, 53: 1-13, 1959. D. M. Johnson, A. L. Dulmage, & N. S. Mendelsohn. ...
... factorization than GP (~4x) ... Supernode = group of adjacent columns of L with ... over GP column-column. 22 matrices: Order 765 to 76480; GP factor time ...
x span (b, Ab, A2b, . . ., An-1b) = Kn (A, b) 0 i n. 1 i n ... Krylov subspace: Ki (A, b) = span (b, Ab, A2b, . . ., Ai-1b) Conjugate gradient algorithm: ...
... factorization than GP (~4x) ... Supernode = group of adjacent columns of L with ... over GP column-column. 22 matrices: Order 765 to 76480; GP factor time ...
... matrix algorithms on many 2-dimensional physical problems. ... There's also a 3-dimensional model problem. n1/2. Solving Poisson's equation for temperature ...
... of x by depth-first search from nonzeros of b ... dfs in G(LT) to predict nonzeros of x; x(1:n) = b(1:n) ... Depth-first search calls 'visit' once per flop ...
Sparse accumulator. Sparse matrix data structures (one example) Full: ... Sparse accumulator (SPA) Abstract data type for a single sparse matrix column. Operations: ...
Read 'Computing the block triangular form of a sparse matrix' (reader #6) ... Sum own row/col of A with children's Update matrices into Frontal matrix ...
Read 'Computing the block triangular form of a sparse ... pivot: swap ujj and an elt of lj. scale: lj = lj / ujj. Column j of A becomes column j of L and U ...
Final presentations for survey projects next Tue and Thu. 20-minute talk with at least 5 min for ... Solve for x using the triangular factors: Ly = b, Ux = y ...
Directed Acyclic Graph. If A is triangular, G(A) has no cycles ... When G is acyclic, postorder(v) postorder(w) for every edge (v, w) Sparse Triangular Solve ...
Please do not take advice from other Psychology students. Always check with me if you have any questions or if there is any confusion or discrepancies! ...
Earned four university credits. Obtained 63% or better in PSY 100Y. A CGPA of at least 1.7 ... Continuing Education brochures are available from the Board offices. ...
Importance = stationary distribution of Markov process. ... Stationary distribution. of a Markov chain. Power method: matvec. and vector arithmetic ...