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Title of Journal: J Appl Math Comput

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Abbravation: Journal of Applied Mathematics and Computing

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Springer-Verlag

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DOI

10.1002/bscb.19890981104

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1865-2085

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Fullrank block Emphasis Type="Italic"LDL/Empha

Authors: Ivan Stanimirović
Publish Date: 2012/06/22
Volume: 40, Issue: 1-2, Pages: 569-586
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Abstract

Fullrank block LDL ∗ decomposition of a Hermitian n×n block matrix A is examined where the iterative procedure evaluating the submatrices appearing in L and D is provided This factorization is used to evaluate the inverse and MoorePenrose inverse of a Hermitian n×n block matrix The method for the calculation of the MoorePenrose inverse of an arbitrary 2×2 block matrix is also provided Therefore matrix products A ∗ A and AA ∗ and the corresponding fullrank block LDL ∗ factorizations are observed Also a simple explicit formulae calculating the solution vector components of the normal system of equations is stated where the LDL ∗ decomposition of the system matrix is done

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  2. Status connectivity indices of graphs and its applications to the boiling point of benzenoid hydrocarbons
  3. Dynamical analysis of a Lotka–Volterra competition system with impulsively linear invasion
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  13. On complementary dual quasi-twisted codes
  14. Sub-quadratic convergence of a smoothing Newton method for second-order cone programming
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