Hi, [Apologies for cross-posting, I don't know which board would be proper to use] I am trying to use pardiso to compute the Schur complement of a
However, the parallel implementation is less successful for some sparse SDPs obtained from applications such as Polynomial Optimization Problems (POPs) or Sensor Network Localization (SNL) problems, since this version of SDPARA cannot directly handle sparse Schur Complement Matrices (SCMs). In this ...
Has anyone had luck getting the new Schur Complement matrix option (iparm(36)) to work with MKL 2018 release 2? I am not having luck, and can't find any example programs that use this option. If anyone has an example, I'd love to see it. Otherwise I...
problems.In this work we investigate the use of sparse approximation of the dense local Schur complements.These approximations are computed using a partial incomplete LU factorization.Such a numerical calculation is the core of the multi-level incomplete factorization such as the one implemented in ...
Schur complementOrthogonal factorizationSparse matrix equationsA new paradigm for the solution of non-symmetric large sparse systems of linear equations is proposed. The paradigm is based on an LQ factorization of the matrix of coefficients, i.e. factoring the matrix of coefficients into the product ...
Schur complementorthogonal factorizationsparse matrix equationsA new paradigm for the solution of non-symmetric large sparse systems of linear equations is proposed. The paradigm is based on an LQ factorization of the matrix of coefficients, i.e. factoring the matrix of coefficients into the product ...
For the computation of partial eigenvalue and singular value decompositions of matrices the Krylov-Schur (restarted Arnoldi) method is used. We describe a generalization of this method to tensors, for computing the best low multilinear rank approximation of large and sparse tensors. In analogy to...
Y. Saad, "Schur complement preconditioners for distributed gen- eral sparse linear systems," Domain Decomposition Methods in Science and Engineering XVI, pp. 127-138, 2007.Y. Saad, "Schur complement preconditioners for distributed general sparse linear systems", Domain Decomposition Methods in Science...
Schur complementinfinite norm upper boundIn this paper, we study the Schur complement problem of $ S $-SOB matrices, and prove that the Schur complement of $ S $-Sparse Ostrowski-Brauer ($ S $-SOB) matrices is still in the same class under certain conditions. Based on ...
Schur complementparallel block Cimminohybrid methodsKrylov subspace methodsrow projection methodsThe block Cimmino is a parallel hybrid row-block projection iterative method successfully used for solving general sparse linear systems. However, the convergence of the method degrades when angles between ...