The Resource The theory of matrices: with applications, [by] Peter Lancaster, Miron Tismenetsky
The theory of matrices: with applications, [by] Peter Lancaster, Miron Tismenetsky
Resource Information
The item The theory of matrices: with applications, [by] Peter Lancaster, Miron Tismenetsky represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Sydney Jones Library, University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item The theory of matrices: with applications, [by] Peter Lancaster, Miron Tismenetsky represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Sydney Jones Library, University of Liverpool.
This item is available to borrow from 1 library branch.
 Summary
 "In this book the authors try to bridge the gap between the treatments of matrix theory and linear algebra to be found in current textbooks and the mastery of these topics required to use and apply our subject matter in several important areas of application, as well as in mathematics itself. At the same time we present a treatment that is as selfcontained as is reasonable possible, beginning with the most fundamental ideas and definitions. In order to accomplish this double purpose, the first few chapters include a complete treatment of material to be found in standard courses on matrices and linear algebra. This part includes development of a computational algebraic development (in the spirit of the first edition) and also development of the abstract methods of finitedimensional linear spaces. Indeed, a balance is maintained through the book between the two powerful techniques of matrix algebra and the theory of linear spaces and transformations."1st paragraph of preface
 Language
 eng
 Edition
 2nd ed
 Extent
 xv, 570 pages
 Contents

 Matrix algebra
 Determinants, inverse matrices, and rank
 Linear, Euclidean and unitary spaces
 Linear transformations and matrices
 Linear transformations in unitary spaces and simple matrices
 The Jordan canonical form: a geometric approach
 Matrix polynomials and normal forms
 The variational method
 Functions of matrices
 Norms and bounds for eigenvalues
 Perturbation theory
 Linear matrix equations and generalized inverses
 Stability problems
 Matrix polynomials
 Nonnegative matrices
 Appendix 1: A survey of scalar polynomials
 Appendix 2: Some theorems and notions from analysis
 Appendix 3: Suggestions for further reading
 Isbn
 9780124355606
 Label
 The theory of matrices: with applications
 Title
 The theory of matrices: with applications
 Statement of responsibility
 [by] Peter Lancaster, Miron Tismenetsky
 Language
 eng
 Summary
 "In this book the authors try to bridge the gap between the treatments of matrix theory and linear algebra to be found in current textbooks and the mastery of these topics required to use and apply our subject matter in several important areas of application, as well as in mathematics itself. At the same time we present a treatment that is as selfcontained as is reasonable possible, beginning with the most fundamental ideas and definitions. In order to accomplish this double purpose, the first few chapters include a complete treatment of material to be found in standard courses on matrices and linear algebra. This part includes development of a computational algebraic development (in the spirit of the first edition) and also development of the abstract methods of finitedimensional linear spaces. Indeed, a balance is maintained through the book between the two powerful techniques of matrix algebra and the theory of linear spaces and transformations."1st paragraph of preface
 Cataloging source
 UkLiU
 http://library.link/vocab/creatorDate
 1929
 http://library.link/vocab/creatorName
 Lancaster, Peter
 Index
 no index present
 LC call number
 QA188
 LC item number
 .L36 1985
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName
 Tismenetsky, Miron
 Series statement
 Computer science and applied mathematics
 http://library.link/vocab/subjectName
 Matrices
 Label
 The theory of matrices: with applications, [by] Peter Lancaster, Miron Tismenetsky
 Bibliography note
 Includes bibliographical references (pages 560561) and index
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Matrix algebra  Determinants, inverse matrices, and rank  Linear, Euclidean and unitary spaces  Linear transformations and matrices  Linear transformations in unitary spaces and simple matrices  The Jordan canonical form: a geometric approach  Matrix polynomials and normal forms  The variational method  Functions of matrices  Norms and bounds for eigenvalues  Perturbation theory  Linear matrix equations and generalized inverses  Stability problems  Matrix polynomials  Nonnegative matrices  Appendix 1: A survey of scalar polynomials  Appendix 2: Some theorems and notions from analysis  Appendix 3: Suggestions for further reading
 Dimensions
 24 cm.
 Edition
 2nd ed
 Extent
 xv, 570 pages
 Isbn
 9780124355606
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
 Label
 The theory of matrices: with applications, [by] Peter Lancaster, Miron Tismenetsky
 Bibliography note
 Includes bibliographical references (pages 560561) and index
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Matrix algebra  Determinants, inverse matrices, and rank  Linear, Euclidean and unitary spaces  Linear transformations and matrices  Linear transformations in unitary spaces and simple matrices  The Jordan canonical form: a geometric approach  Matrix polynomials and normal forms  The variational method  Functions of matrices  Norms and bounds for eigenvalues  Perturbation theory  Linear matrix equations and generalized inverses  Stability problems  Matrix polynomials  Nonnegative matrices  Appendix 1: A survey of scalar polynomials  Appendix 2: Some theorems and notions from analysis  Appendix 3: Suggestions for further reading
 Dimensions
 24 cm.
 Edition
 2nd ed
 Extent
 xv, 570 pages
 Isbn
 9780124355606
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Thetheoryofmatriceswithapplicationsby/gjVTlh3U2Q/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/Thetheoryofmatriceswithapplicationsby/gjVTlh3U2Q/">The theory of matrices: with applications, [by] Peter Lancaster, Miron Tismenetsky</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">Sydney Jones Library, University of Liverpool</a></span></span></span></span></div>