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  • The Cholesky factorization (shortly CHF) is one of basic methods to solve systems of linear equations (shortly SLEs). A task of the CHF is to compute the matrix L, such that A=LL^T. The big advantage of this method is that is possible to solve a set of SLEs with the same matrix A, but with different right hand sides. The process of Cholesky factorization of the originally sparse matrix A leads to the matrix L with new nonzero elements, called fills (or fill-in's). For the minimal number of fills, special process called symbolic factorization is needed. Since this process significantly increases the number of required operations, the efficient computation of the CHF for sparse matrices is a still open research problem
  • The Cholesky factorization (shortly CHF) is one of basic methods to solve systems of linear equations (shortly SLEs). A task of the CHF is to compute the matrix L, such that A=LL^T. The big advantage of this method is that is possible to solve a set of SLEs with the same matrix A, but with different right hand sides. The process of Cholesky factorization of the originally sparse matrix A leads to the matrix L with new nonzero elements, called fills (or fill-in's). For the minimal number of fills, special process called symbolic factorization is needed. Since this process significantly increases the number of required operations, the efficient computation of the CHF for sparse matrices is a still open research problem (en)
  • Choleskyho faktorizace (CHF) je jednou ze základních metod pro řešení soustav lineárních rovnic (SLR). Výhodou faktorizace je snadná možnost řešení více SLR (se stejnou maticí soustavy ale jinou pravou stranou). Bohužel faktorizace řídké matice může vést na hustou matice. Pro odstranění tohoto nedostatku je nutný speciální proces zvaný %22symbolická faktorizace%22. Tato práce řeší problém pro částečně řídké matice. (cs)
Title
  • Choleskyho faktorizace pro částečně řídké matice (cs)
  • Semi-sparse Cholesky Factorization
  • Semi-sparse Cholesky Factorization (en)
skos:prefLabel
  • Choleskyho faktorizace pro částečně řídké matice (cs)
  • Semi-sparse Cholesky Factorization
  • Semi-sparse Cholesky Factorization (en)
skos:notation
  • RIV/68407700:21230/05:03107570!RIV06-MSM-21230___
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  • Cholesky factorization; High-performance; numerical algebra; sparse matrix (en)
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