000 01595 a2200373 4500
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020 _a9780367782603
037 _bTaylor & Francis
_cGBP 47.99
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040 _a01
041 _aeng
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072 7 _a512.9434
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100 1 _aHanjo Taubig
245 1 0 _aMatrix Inequalities for Iterative Systems
250 _a1
260 _bCRC Press
_c20210331
300 _a218 p
520 _bThe 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.
999 _c1882
_d1882