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00000cam a2200000Ia 4500 |
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EBSCO_ocn832715256 |
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OCoLC |
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20231017213018.0 |
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m o d |
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cr cnu---unuuu |
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130327s2012 nyu ob 001 0 eng d |
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|a 9781614700449
|q (electronic bk.)
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|a 1614700443
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|z 9781613249284
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|z 1613249284
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|b 472777343
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|a (OCoLC)832715256
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|a QA11.2
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|a 510.72
|2 22
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| 049 |
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|a UAMI
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| 245 |
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|a Advances in mathematics research.
|n Vol. 16 /
|c Albert R. Baswell, editor.
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| 260 |
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|a New York :
|b Nova Science Publishers, Inc.,
|c ©2012.
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| 300 |
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|a 1 online resource (1 volume)
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| 336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a Includes bibliographical references and index.
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|a Print version record.
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|a ADVANCES IN MATHEMATICS RESEARCH. VOLUME 16; ADVANCES IN MATHEMATICS RESEARCH. VOLUME 16; LIBRARY OF CONGRESS CATALOGING-IN-PUBLICATION DATA; CONTENTS; PREFACE; Chapter 1: BLACKWELL'S ORDERING IN THE SEMIRING OF MONOTONE DOUBLY STOCHASTIC MATRICES; Abstract; 1. Introduction; 2. Preliminaries; 2.1. Homogenous Markov Chains; 2.2. Monotone Transition Matrices; 2.3. Ordering in an Idempotent Semiring; 3. Measuring Mobility; 3.1. Shorrocks' Mobility Measuring Approach; 3.2. Dardanoni's Mobility Measuring; 4. Ordering in Shorrocks' Sense on the Semiring of Monotone Doubly Stochastic Matrices.
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|a 4.1. Semiring of Monotone Doubly Stochastic Matrices4.2. Characterisation of the Ordering f and the Ordering m; 5. Blackwell's Ordering in the Semiring of Monotone Doubly Stochastic Matrices; 6. A comparison of Shorrocks' and Blackwell's Ordering in theSemiring of Monotone Doubly Stochastic Matrices; 6.1. The Relation of Blackwell's Ordering #x9C;́ư and Ordering #x9C;́ư Induced byMobility Measures; 6.2. The Orderings #x9C;́ư, #x9C;́ư and Dardanoni's Ordering; 7. Conclusion; Acknowledgment; References; Chapter 2: ESTIMATES FOR FUNCTIONS OF FINITEAND INFINITE MATRICES. PERTURBATIONS OF MATRIX FUNCTIONS.
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|a Abstract1. Introduction and Notation; 2. Representations of Matrix Functions; 2.1. Classical Representations; 2.2. Multiplicative Representations of the Resolvent; 3. Norm Estimates for Resolvents ; 4. Spectrum Perturbations; 5. Norm Estimates for Matrix Functions Regular on SimplyConnected Sets; 5.1. Estimates via the Resolvent; 5.2. Functions Regular on the Convex Hull of the Spectrum; 5.3. Proof of Theorem 5.2; 6. Estimates for Absolute Values of Entries; 7. Splitting of Spectrum; 7.1. Splitting via the Resolvent; 7.2. Splitting via the Riesz Projections.
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|a 7.3. Block Triangular Representation of the Resolvent 8. Derivatives of Matrix Functions; 8.1. Statements of the Results; 8.2. Proof of Theorem 8.1; 8.3. Derivative of Matrix Exponential; 9. MeromorphicMatrix Functions; 9.1. Statements of the Results; 9.2. Proof of Theorem 9.4; 9.3. Periodic Vector Problem ; 9.4. Two-Points Vector Boundary Value Problem; 10. Norm Estimates for Functions of Diagonalizable Matrices ; 10.1. A Bound for Similarity Constants of Matrices ; 10.2. Proof of Theorem 10.1 ; 10.3. Applications of Theorem 10.1.
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|a 10.4. Additional Norm Estimates for Functionsof Diagonalizable Matrices11. Perturbations of Functions of Matrices With ArbitrarySpectra; 11.1. Perturbations in Terms of the Spectral Norm; 11.2. Perturbations in Terms of the Frobenius Norm; 11.3. Perturbations of Entries of Matrix Functions; 11.4. Perturbations of Entire Functions; 11.5. Applications of the Derivative; 12. Perturbations of Functions of DiagonalizableMatrices; 13. Matrix Exponential; 13.1. Dichotomy; 13.2. Perturbations of Matrix Exponentials ; 13.3. Proof of Theorem 13.1; 14. Fractional Powers.
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| 590 |
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|a eBooks on EBSCOhost
|b EBSCO eBook Subscription Academic Collection - Worldwide
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| 650 |
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|a Mathematics
|x Research.
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| 650 |
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7 |
|a MATHEMATICS
|x Research.
|2 bisacsh
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| 650 |
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7 |
|a Mathematics
|x Research.
|2 fast
|0 (OCoLC)fst01012225
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| 700 |
1 |
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|a Baswell, Albert R.
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| 776 |
0 |
8 |
|i Print version:
|t Advances in mathematics research. Volume 16.
|d Hauppauge, N.Y. : Nova Science ; Lancaster : Gazelle [distributor], 2011
|z 9781613249284
|w (OCoLC)751806200
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| 856 |
4 |
0 |
|u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=540133
|z Texto completo
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|a EBSCOhost
|b EBSC
|n 540133
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| 994 |
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|a 92
|b IZTAP
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