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» Parallel block tridiagonalization of real symmetric matrices
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FOCM
2010
161views more  FOCM 2010»
13 years 4 months ago
The Asymptotics of Wilkinson's Shift: Loss of Cubic Convergence
One of the most widely used methods for eigenvalue computation is the QR iteration with Wilkinson’s shift: here the shift s is the eigenvalue of the bottom 2 × 2 principal mino...
Ricardo S. Leite, Nicolau C. Saldanha, Carlos Tome...
SIAMJO
2010
155views more  SIAMJO 2010»
13 years 1 months ago
Optimal Portfolio Execution Strategies and Sensitivity to Price Impact Parameters
When liquidating a portfolio of large blocks of risky assets, an institutional investor wants to minimize the cost as well as the risk of execution. An optimal execution strategy ...
Somayeh Moazeni, Thomas F. Coleman, Yuying Li
PPAM
2005
Springer
13 years 11 months ago
A New Diagonal Blocking Format and Model of Cache Behavior for Sparse Matrices
Algorithms for the sparse matrix-vector multiplication (shortly SpM×V ) are important building blocks in solvers of sparse systems of linear equations. Due to matrix sparsity, the...
Pavel Tvrdík, Ivan Simecek
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EUROPAR
2003
Springer
13 years 11 months ago
Parallel ScaLAPACK-Style Algorithms for Solving Continuous-Time Sylvester Matrix Equations
An implementation of a parallel ScaLAPACK-style solver for the general Sylvester equation, op(A)X −Xop(B) = C, where op(A) denotes A or its transpose AT , is presented. The paral...
Robert Granat, Bo Kågström, Peter Porom...
AMC
2006
80views more  AMC 2006»
13 years 6 months ago
Parallel preconditioned conjugate gradient optimization of the Rayleigh quotient for the solution of sparse eigenproblems
A parallel algorithm based on the multidimensional minimization of the Rayleigh quotient is proposed to evaluate the leftmost eigenpairs of the generalized symmetric positive defi...
Luca Bergamaschi, Angeles Martinez, Giorgio Pini