Computation of Generalized Matrix Inverses and Applications

DOI10.1201/9781315115252zbMath1382.65112OpenAlexW2892241363MaRDI QIDQ2987008

Ivan P. Stanimirović

Publication date: 17 May 2017

Full work available at URL: https://doi.org/10.1201/9781315115252

zbMATH Keywords

singular value decompositiontextbookMoore-Penrose inverselinear regressionblock matrices\(QR\) decomposition\(LU\) decompositionLeverrier-Faddeev algorithmrestoration of imagesfeedback compensationfull-rank decompositionmatrix generalized inverse\(L D L^*\) decompositionGreville's partitioning methodpolynomial and rational matrices

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Direct numerical methods for linear systems and matrix inversion (65F05) Matrices over function rings in one or more variables (15A54) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01)

Related Items (2)

Pseudo-generalized inverse and Drazin invertibility ⋮ On formulae for the Moore-Penrose inverse of a columnwise partitioned matrix

Uses Software

• Mathematica
• MatrixMarket
• mctoolbox

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