Advances in mathematics research.: Vol. 16 /
Gespeichert in:
Weitere Verfasser: | |
---|---|
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New York :
Nova Science Publishers, Inc.,
©2012.
|
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | 1 online resource (1 volume) |
Bibliographie: | Includes bibliographical references and index. |
ISBN: | 9781614700449 1614700443 |
Internformat
MARC
LEADER | 00000cam a2200000 a 4500 | ||
---|---|---|---|
001 | ZDB-4-EBA-ocn832715256 | ||
003 | OCoLC | ||
005 | 20241004212047.0 | ||
006 | m o d | ||
007 | cr cnu---unuuu | ||
008 | 130327s2012 nyu ob 001 0 eng d | ||
040 | |a N$T |b eng |e pn |c N$T |d OCLCF |d OCLCQ |d AGLDB |d OCLCQ |d VTS |d AU@ |d STF |d OCLCQ |d K6U |d OCLCQ |d OCLCO |d OCLCL |d OCLCQ | ||
020 | |a 9781614700449 |q (electronic bk.) | ||
020 | |a 1614700443 |q (electronic bk.) | ||
020 | |z 9781613249284 | ||
020 | |z 1613249284 | ||
035 | |a (OCoLC)832715256 | ||
050 | 4 | |a QA11.2 | |
072 | 7 | |a MAT |x 027000 |2 bisacsh | |
082 | 7 | |a 510.72 |2 22 | |
049 | |a MAIN | ||
245 | 0 | 0 | |a Advances in mathematics research. |n Vol. 16 / |c Albert R. Baswell, editor. |
260 | |a New York : |b Nova Science Publishers, Inc., |c ©2012. | ||
300 | |a 1 online resource (1 volume) | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
504 | |a Includes bibliographical references and index. | ||
588 | 0 | |a Print version record. | |
505 | 0 | |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. | |
505 | 8 | |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. | |
505 | 8 | |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. | |
505 | 8 | |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. | |
505 | 8 | |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. | |
650 | 0 | |a Mathematics |x Research. |0 http://id.loc.gov/authorities/subjects/sh85082156 | |
650 | 7 | |a MATHEMATICS |x Research. |2 bisacsh | |
650 | 7 | |a Mathematics |x Research |2 fast | |
700 | 1 | |a Baswell, Albert R. | |
758 | |i has work: |a Vol. 16 Advances in mathematics research (Text) |1 https://id.oclc.org/worldcat/entity/E39PCXtXt8Hqb9JxpGDdy7mTpP |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
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 |
856 | 4 | 0 | |l FWS01 |p ZDB-4-EBA |q FWS_PDA_EBA |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=540133 |3 Volltext |
938 | |a EBSCOhost |b EBSC |n 540133 | ||
994 | |a 92 |b GEBAY | ||
912 | |a ZDB-4-EBA | ||
049 | |a DE-863 |
Datensatz im Suchindex
DE-BY-FWS_katkey | ZDB-4-EBA-ocn832715256 |
---|---|
_version_ | 1816882226541887488 |
adam_text | |
any_adam_object | |
author2 | Baswell, Albert R. |
author2_role | |
author2_variant | a r b ar arb |
author_facet | Baswell, Albert R. |
author_sort | Baswell, Albert R. |
building | Verbundindex |
bvnumber | localFWS |
callnumber-first | Q - Science |
callnumber-label | QA11 |
callnumber-raw | QA11.2 |
callnumber-search | QA11.2 |
callnumber-sort | QA 211.2 |
callnumber-subject | QA - Mathematics |
collection | ZDB-4-EBA |
contents | 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. 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. 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. 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. 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. |
ctrlnum | (OCoLC)832715256 |
dewey-full | 510.72 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 510 - Mathematics |
dewey-raw | 510.72 |
dewey-search | 510.72 |
dewey-sort | 3510.72 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Electronic eBook |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>04760cam a2200481 a 4500</leader><controlfield tag="001">ZDB-4-EBA-ocn832715256</controlfield><controlfield tag="003">OCoLC</controlfield><controlfield tag="005">20241004212047.0</controlfield><controlfield tag="006">m o d </controlfield><controlfield tag="007">cr cnu---unuuu</controlfield><controlfield tag="008">130327s2012 nyu ob 001 0 eng d</controlfield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">N$T</subfield><subfield code="b">eng</subfield><subfield code="e">pn</subfield><subfield code="c">N$T</subfield><subfield code="d">OCLCF</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">AGLDB</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">VTS</subfield><subfield code="d">AU@</subfield><subfield code="d">STF</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">K6U</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCL</subfield><subfield code="d">OCLCQ</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781614700449</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1614700443</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9781613249284</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">1613249284</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)832715256</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA11.2</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT</subfield><subfield code="x">027000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="7" ind2=" "><subfield code="a">510.72</subfield><subfield code="2">22</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">MAIN</subfield></datafield><datafield tag="245" ind1="0" ind2="0"><subfield code="a">Advances in mathematics research.</subfield><subfield code="n">Vol. 16 /</subfield><subfield code="c">Albert R. Baswell, editor.</subfield></datafield><datafield tag="260" ind1=" " ind2=" "><subfield code="a">New York :</subfield><subfield code="b">Nova Science Publishers, Inc.,</subfield><subfield code="c">©2012.</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (1 volume)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Print version record.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="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.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="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.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="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.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="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.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="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.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Mathematics</subfield><subfield code="x">Research.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85082156</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS</subfield><subfield code="x">Research.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Mathematics</subfield><subfield code="x">Research</subfield><subfield code="2">fast</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Baswell, Albert R.</subfield></datafield><datafield tag="758" ind1=" " ind2=" "><subfield code="i">has work:</subfield><subfield code="a">Vol. 16 Advances in mathematics research (Text)</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PCXtXt8Hqb9JxpGDdy7mTpP</subfield><subfield code="4">https://id.oclc.org/worldcat/ontology/hasWork</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Print version:</subfield><subfield code="t">Advances in mathematics research. Volume 16.</subfield><subfield code="d">Hauppauge, N.Y. : Nova Science ; Lancaster : Gazelle [distributor], 2011</subfield><subfield code="z">9781613249284</subfield><subfield code="w">(OCoLC)751806200</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="l">FWS01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=540133</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBSCOhost</subfield><subfield code="b">EBSC</subfield><subfield code="n">540133</subfield></datafield><datafield tag="994" ind1=" " ind2=" "><subfield code="a">92</subfield><subfield code="b">GEBAY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-863</subfield></datafield></record></collection> |
id | ZDB-4-EBA-ocn832715256 |
illustrated | Not Illustrated |
indexdate | 2024-11-27T13:25:15Z |
institution | BVB |
isbn | 9781614700449 1614700443 |
language | English |
oclc_num | 832715256 |
open_access_boolean | |
owner | MAIN DE-863 DE-BY-FWS |
owner_facet | MAIN DE-863 DE-BY-FWS |
physical | 1 online resource (1 volume) |
psigel | ZDB-4-EBA |
publishDate | 2012 |
publishDateSearch | 2012 |
publishDateSort | 2012 |
publisher | Nova Science Publishers, Inc., |
record_format | marc |
spelling | Advances in mathematics research. Vol. 16 / Albert R. Baswell, editor. New York : Nova Science Publishers, Inc., ©2012. 1 online resource (1 volume) text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references and index. Print version record. 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. 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. 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. 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. 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. Mathematics Research. http://id.loc.gov/authorities/subjects/sh85082156 MATHEMATICS Research. bisacsh Mathematics Research fast Baswell, Albert R. has work: Vol. 16 Advances in mathematics research (Text) https://id.oclc.org/worldcat/entity/E39PCXtXt8Hqb9JxpGDdy7mTpP https://id.oclc.org/worldcat/ontology/hasWork Print version: Advances in mathematics research. Volume 16. Hauppauge, N.Y. : Nova Science ; Lancaster : Gazelle [distributor], 2011 9781613249284 (OCoLC)751806200 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=540133 Volltext |
spellingShingle | Advances in mathematics research. 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. 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. 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. 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. 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. Mathematics Research. http://id.loc.gov/authorities/subjects/sh85082156 MATHEMATICS Research. bisacsh Mathematics Research fast |
subject_GND | http://id.loc.gov/authorities/subjects/sh85082156 |
title | Advances in mathematics research. |
title_auth | Advances in mathematics research. |
title_exact_search | Advances in mathematics research. |
title_full | Advances in mathematics research. Vol. 16 / Albert R. Baswell, editor. |
title_fullStr | Advances in mathematics research. Vol. 16 / Albert R. Baswell, editor. |
title_full_unstemmed | Advances in mathematics research. Vol. 16 / Albert R. Baswell, editor. |
title_short | Advances in mathematics research. |
title_sort | advances in mathematics research |
topic | Mathematics Research. http://id.loc.gov/authorities/subjects/sh85082156 MATHEMATICS Research. bisacsh Mathematics Research fast |
topic_facet | Mathematics Research. MATHEMATICS Research. Mathematics Research |
url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=540133 |
work_keys_str_mv | AT baswellalbertr advancesinmathematicsresearchvol16 |