The Resource A Polynomial Approach to Linear Algebra, by Paul A. Fuhrmann, (electronic resource)

A Polynomial Approach to Linear Algebra, by Paul A. Fuhrmann, (electronic resource)

Label
A Polynomial Approach to Linear Algebra
Title
A Polynomial Approach to Linear Algebra
Statement of responsibility
by Paul A. Fuhrmann
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
A Polynomial Approach to Linear Algebra is a text which is heavily biased towards functional methods. In using the shift operator as a central object, it makes linear algebra a perfect introduction to other areas of mathematics, operator theory in particular. This technique is very powerful as becomes clear from the analysis of canonical forms (Frobenius, Jordan). It should be emphasized that these functional methods are not only of great theoretical interest, but lead to computational algorithms. Quadratic forms are treated from the same perspective, with emphasis on the important examples of Bezoutian and Hankel forms. These topics are of great importance in applied areas such as signal processing, numerical linear algebra, and control theory. Stability theory and system theoretic concepts, up to realization theory, are treated as an integral part of linear algebra. This new edition has been updated throughout, in particular new sections have been added on rational interpolation, interpolation using H^{\nfty} functions, and tensor products of models. Review from first edition: “...the approach pursued by the author is of unconventional beauty and the material covered by the book is unique.” (Mathematical Reviews, A. Böttcher)
Member of
Is Subseries of
http://library.link/vocab/creatorName
Fuhrmann, Paul A
Dewey number
512.5
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
3ZruVWJzaP0
Language note
English
LC call number
QA184-205
Literary form
non fiction
Nature of contents
dictionaries
Series statement
  • Universitext
  • Universitext,
http://library.link/vocab/subjectName
  • Matrix theory
  • Systems theory
  • Mathematical optimization
  • Linear and Multilinear Algebras, Matrix Theory
  • Systems Theory, Control
  • Calculus of Variations and Optimal Control; Optimization
Label
A Polynomial Approach to Linear Algebra, by Paul A. Fuhrmann, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. 403-405) and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Preliminaries -- Linear Spaces -- Determinants -- Linear Transformations -- The Shift Operator -- Structure Theory of Linear Transformations -- Inner Product Spaces -- Quadratic Forms -- Stability -- Elements of System Theory -- Hankel Norm Approximation
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (421 p.)
Form of item
online
Isbn
9781461403388
Media category
computer
Media type code
c
Other control number
10.1007/978-1-4614-0338-8
Specific material designation
remote
System control number
  • (CKB)3390000000021203
  • (EBL)3070361
  • (SSID)ssj0000610566
  • (PQKBManifestationID)11381074
  • (PQKBTitleCode)TC0000610566
  • (PQKBWorkID)10639420
  • (PQKB)11488992
  • (DE-He213)978-1-4614-0338-8
  • (MiAaPQ)EBC3070361
  • (EXLCZ)993390000000021203
Label
A Polynomial Approach to Linear Algebra, by Paul A. Fuhrmann, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. 403-405) and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Preliminaries -- Linear Spaces -- Determinants -- Linear Transformations -- The Shift Operator -- Structure Theory of Linear Transformations -- Inner Product Spaces -- Quadratic Forms -- Stability -- Elements of System Theory -- Hankel Norm Approximation
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (421 p.)
Form of item
online
Isbn
9781461403388
Media category
computer
Media type code
c
Other control number
10.1007/978-1-4614-0338-8
Specific material designation
remote
System control number
  • (CKB)3390000000021203
  • (EBL)3070361
  • (SSID)ssj0000610566
  • (PQKBManifestationID)11381074
  • (PQKBTitleCode)TC0000610566
  • (PQKBWorkID)10639420
  • (PQKB)11488992
  • (DE-He213)978-1-4614-0338-8
  • (MiAaPQ)EBC3070361
  • (EXLCZ)993390000000021203

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