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Books > Science & Mathematics > Mathematics > Algebra
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Matrix Inequalities for Iterative Systems (Paperback)
Loot Price: R1,548
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Matrix Inequalities for Iterative Systems (Paperback)
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The book reviews inequalities for weighted entry sums of matrix
powers. Applications range from mathematics and CS to pure
sciences. It unifies and generalizes several results for products
and powers of sesquilinear forms derived from powers of Hermitian,
positive-semidefinite, as well as nonnegative matrices. It shows
that some inequalities are valid only in specific cases. How to
translate the Hermitian matrix results into results for alternating
powers of general rectangular matrices? Inequalities that compare
the powers of the row and column sums to the row and column sums of
the matrix powers are refined for nonnegative matrices. Lastly,
eigenvalue bounds and derive results for iterated kernels are
improved.
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