Coverart for item
The Resource The theory of matrices : with applications, Peter Lancaster, Miron Tismenetsky

The theory of matrices : with applications, Peter Lancaster, Miron Tismenetsky

Label
The theory of matrices : with applications
Title
The theory of matrices
Title remainder
with applications
Statement of responsibility
Peter Lancaster, Miron Tismenetsky
Creator
Contributor
Subject
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 self-contained 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 finite-dimensional 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
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1929-
http://library.link/vocab/creatorName
Lancaster, Peter
Index
index present
Literary form
non fiction
Nature of contents
bibliography
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, Peter Lancaster, Miron Tismenetsky
Instantiates
Publication
Note
Includes index
Bibliography note
Bibliography: pages 560-561
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
Control code
10018118
Dimensions
24 cm
Edition
2nd ed.
Extent
xv, 570 pages
Isbn
9780124355606
Isbn Type
(alk. paper)
Lccn
83015775
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
(WaOLN)743360
Label
The theory of matrices : with applications, Peter Lancaster, Miron Tismenetsky
Publication
Note
Includes index
Bibliography note
Bibliography: pages 560-561
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
Control code
10018118
Dimensions
24 cm
Edition
2nd ed.
Extent
xv, 570 pages
Isbn
9780124355606
Isbn Type
(alk. paper)
Lccn
83015775
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
(WaOLN)743360

Library Locations

    • Thomas Jefferson LibraryBorrow it
      1 University Blvd, St. Louis, MO, 63121, US
      38.710138 -90.311107
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