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Matrix Partial Orders, Shorted Operators And Applications (Hardcover)
Loot Price: R3,033
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Matrix Partial Orders, Shorted Operators And Applications (Hardcover)
Series: Series In Algebra, 10
Expected to ship within 12 - 17 working days
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The present monograph on matrix partial orders, the first on this
topic, makes a unique presentation of many partial orders on
matrices that have fascinated mathematicians for their beauty and
applied scientists for their wide-ranging application potential.
Except for the Loewner order, the partial orders considered are
relatively new and came into being in the late 1970s. After a
detailed introduction to generalized inverses and decompositions,
the three basic partial orders - namely, the minus, the sharp and
the star - and the corresponding one-sided orders are presented
using various generalized inverses. The authors then give a unified
theory of all these partial orders as well as study the parallel
sums and shorted matrices, the latter being studied at great
length. Partial orders of modified matrices are a new addition.
Finally, applications are given in statistics and electrical
network theory. Deceased
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