LEADER 02517oam 2200469I 450 001 9910163880603321 005 20230810002048.0 010 $a1-315-16613-5 010 $a1-351-67909-0 010 $a1-4987-7779-1 024 7 $a10.1201/9781315166131 035 $a(CKB)3710000001051167 035 $a(MiAaPQ)EBC4799816 035 $a(OCoLC)971613642 035 $a(EXLCZ)993710000001051167 100 $a20180420d20172016 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aMatrix inequalities for iterative systems /$fby Hanjo Taubig 205 $aFirst edition. 210 1$aBoca Raton, FL :$cCRC Press,$d[2017]. 210 4$dİ2016 215 $a1 online resource (219 pages) 311 $a1-4987-7777-5 320 $aIncludes bibliographical references and index. 327 $apart 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. 330 3 $aThe 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. 606 $aMatrix inequalities 615 0$aMatrix inequalities. 676 $a512.9/434 700 $aTaubig$b Hanjo$01242713 702 $aHou$b Xu$c(Engineer), 712 02$aCRC Press. 801 0$bFlBoTFG 801 1$bFlBoTFG 906 $aBOOK 912 $a9910163880603321 996 $aMatrix inequalities for iterative systems$92882740 997 $aUNINA