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200 1 $aˆ9.: ‰1909$f Marcel Proust$gtexte établi, presenté et annoté par Philippe Kolb
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215   $a271 p.$d21 cm.
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024 7 $a10.1201/9781315166131 
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200 10$aMatrix inequalities for iterative systems /$fby Hanjo Taubig
205   $aFirst edition.
210  1$aBoca Raton, FL :$cCRC Press,$d[2017].
210  4$d©2016
215   $a1 online resource (219 pages)
311 08$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