02517oam 2200469I 450 991016388060332120230810002048.01-315-16613-51-351-67909-01-4987-7779-110.1201/9781315166131 (CKB)3710000001051167(MiAaPQ)EBC4799816(OCoLC)971613642(EXLCZ)99371000000105116720180420d20172016 uy 0engurcnu||||||||rdacontentrdamediardacarrierMatrix inequalities for iterative systems /by Hanjo TaubigFirst edition.Boca Raton, FL :CRC Press,[2017].©20161 online resource (219 pages)1-4987-7777-5 Includes bibliographical references and index.part INTRODUCTION -- chapter 1 Notation and Basic Facts -- chapter 2 Motivation -- chapter 3 Diagonalization and Spectral Decomposition -- part UNDIRECTED GRAPHS / HERMITIAN MATRICES -- chapter 4 General Results -- chapter 5 Restricted Graph Classes -- part DIRECTED GRAPHS / NONSYMMETRIC MATRICES -- chapter 6 Walks and Alternating Walks in Directed Graphs -- chapter 7 Powers of Row and Column Sums -- part APPLICATIONS -- chapter 8 Bounds for the Largest Eigenvalue -- chapter 9 Iterated Kernels.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.Matrix inequalitiesMatrix inequalities.512.9/434Taubig Hanjo1242713Hou Xu(Engineer),CRC Press.FlBoTFGFlBoTFGBOOK9910163880603321Matrix inequalities for iterative systems2882740UNINA