Matrix Inequalities for Iterative Systems
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A01=Hanjo Taubig
adjacency matrix
advanced linear algebra
Age Group_Uncategorized
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Author_Hanjo Taubig
automatic-update
bilinear form
Bipartite Graphs
Category1=Non-Fiction
Category=PBF
Category=PBV
Category=UB
COP=United States
De Bruijn Graphs
Degree Sequence
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Directed Graphs
Dx Dy
eigenvalue analysis
Eigenvalues ?i
Eigenvalues Λi
Entry Sum
eq_bestseller
eq_computing
eq_isMigrated=2
eq_nobargain
eq_non-fiction
Extremal Graph Theory
graph
Hamiltonian Cycle
Hermitian form
Hermitian Matrices
Hermitian Matrix
Index ?1
Index Λ1
inequality
iterated kernels
iterative kernel methods
Language_English
Largest Eigenvalue ?1
Largest Eigenvalue Λ1
matrices
matrix inequalities in scientific research
matrix power
matrix power inequalities
Nonnegative Matrices
Nonnegative Matrix
Nonnegative Symmetric Matrix
Nonnegative Vector
PA=Available
Perron Frobenius Theorem
Positive Semidefinite Matrices
Price_€100 and above
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Rayleigh Ritz Theorem
sesquilinear form
sesquilinear forms
softlaunch
spectral graph theory
Undirected Graph
Vertex Degrees
Vertex Vj
Zagreb Indices
Product details
- ISBN 9781498777773
- Weight: 558g
- Dimensions: 178 x 254mm
- Publication Date: 18 Nov 2016
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
- Language: English
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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.
