A survey of generalized matrix inverses

Gerhard Zielke

Displaying similar documents to “A survey of generalized matrix inverses”

Note on a splitting approach to ill-conditioned least squares problems

Robert J. Plemmons (1975)

Czechoslovak Mathematical Journal

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On melancholic magic squares

Götz Trenkler, Dietrich Trenkler (2013)

Discussiones Mathematicae Probability and Statistics

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Starting with Dürer's magic square which appears in the well-known copper plate engraving Melencolia we consider the class of melancholic magic squares. Each member of this class exhibits the same 86 patterns of Dürer's magic square and is magic again. Special attention is paid to the eigenstructure of melancholic magic squares, their group inverse and their Moore-Penrose inverse. It is seen how the patterns of the original Dürer square to a large extent are passed down also to the inverses...

A canonical form for incidence matrices of finite projective planes and their associated latin squares

Paige, Lowell J., Wexler, Charles (1953)

Portugaliae mathematica

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Some results on magic squares based on generating magic vectors and R-C similar transformations

Xiaoyang Ma, Kai-tai Fang, Yu hui Deng (2017)

Special Matrices

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In this paper we propose a new method, based on R-C similar transformation method, to study classification for the magic squares of order 5. The R-C similar transformation is defined by exchanging two rows and related two columns of a magic square. Many new results for classification of the magic squares of order 5 are obtained by the R-C similar transformation method. Relationships between basic forms and R-C similar magic squares are discussed. We also propose a so called GMV (generating...