Time-variant and quasi-separable systems: matrix theory, recursions and computations
Matrix theory is the lingua franca of everyone who deals with dynamically evolving systems, and familiarity with efficient matrix computations is an essential part of the modern curriculum in dynamical systems and associated computation. This is a master's-level textbook on dynamical systems an...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2025
|
| Schlagworte: | |
| Online-Zugang: | DE-12 DE-634 DE-92 Volltext |
| Zusammenfassung: | Matrix theory is the lingua franca of everyone who deals with dynamically evolving systems, and familiarity with efficient matrix computations is an essential part of the modern curriculum in dynamical systems and associated computation. This is a master's-level textbook on dynamical systems and computational matrix algebra. It is based on the remarkable identity of these two disciplines in the context of linear, time-variant, discrete-time systems and their algebraic equivalent, quasi-separable systems. The authors' approach provides a single, transparent framework that yields simple derivations of basic notions, as well as new and fundamental results such as constrained model reduction, matrix interpolation theory and scattering theory. This book outlines all the fundamental concepts that allow readers to develop the resulting recursive computational schemes needed to solve practical problems. An ideal treatment for graduate students and academics in electrical and computer engineering, computer science and applied mathematics |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 23 Oct 2024) A first example : optimal quadratic tracking -- Dynamical systems -- LTV (quasi-separable) systems -- System identification -- State equivalence, state reduction -- Elementary operations -- Inner operators and external factorizations -- Inner-outer factorization -- Application : the Kalman filter -- Polynomial representations -- Quasi-separable Moore-Penrose inversion -- LU (spectral) factorization -- Matrix Schur interpolation -- The scattering picture -- Constrained interpolation -- Constrained model reduction -- Isometric embedding for causal contractions |
| Beschreibung: | 1 Online-Ressource (xxiv, 306 Seiten) |
| ISBN: | 9781009455640 |
| DOI: | 10.1017/9781009455640 |
Internformat
MARC
| LEADER | 00000nam a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV050043721 | ||
| 003 | DE-604 | ||
| 005 | 20241205 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 241126s2025 xx o|||| 00||| eng d | ||
| 020 | |a 9781009455640 |c Online |9 978-1-009-45564-0 | ||
| 024 | 7 | |a 10.1017/9781009455640 |2 doi | |
| 035 | |a (ZDB-20-CBO)CR9781009455640 | ||
| 035 | |a (DE-599)BVBBV050043721 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-92 |a DE-634 | ||
| 082 | 0 | |a 512.9/434 | |
| 084 | |a MAT 150 |2 stub | ||
| 100 | 1 | |a Dewilde, Patrick |0 (DE-588)151392226 |4 aut | |
| 245 | 1 | 0 | |a Time-variant and quasi-separable systems |b matrix theory, recursions and computations |c Patrick Dewilde, Klaus Diepold, Alle-Jan Van der Veen |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2025 | |
| 300 | |a 1 Online-Ressource (xxiv, 306 Seiten) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 500 | |a Title from publisher's bibliographic system (viewed on 23 Oct 2024) | ||
| 500 | |a A first example : optimal quadratic tracking -- Dynamical systems -- LTV (quasi-separable) systems -- System identification -- State equivalence, state reduction -- Elementary operations -- Inner operators and external factorizations -- Inner-outer factorization -- Application : the Kalman filter -- Polynomial representations -- Quasi-separable Moore-Penrose inversion -- LU (spectral) factorization -- Matrix Schur interpolation -- The scattering picture -- Constrained interpolation -- Constrained model reduction -- Isometric embedding for causal contractions | ||
| 520 | |a Matrix theory is the lingua franca of everyone who deals with dynamically evolving systems, and familiarity with efficient matrix computations is an essential part of the modern curriculum in dynamical systems and associated computation. This is a master's-level textbook on dynamical systems and computational matrix algebra. It is based on the remarkable identity of these two disciplines in the context of linear, time-variant, discrete-time systems and their algebraic equivalent, quasi-separable systems. The authors' approach provides a single, transparent framework that yields simple derivations of basic notions, as well as new and fundamental results such as constrained model reduction, matrix interpolation theory and scattering theory. This book outlines all the fundamental concepts that allow readers to develop the resulting recursive computational schemes needed to solve practical problems. An ideal treatment for graduate students and academics in electrical and computer engineering, computer science and applied mathematics | ||
| 650 | 4 | |a Matrices | |
| 650 | 4 | |a Linear time invariant systems | |
| 650 | 4 | |a Separable algebras | |
| 650 | 4 | |a Mathematical optimization | |
| 650 | 4 | |a Computer algorithms | |
| 650 | 0 | 7 | |a Numerische lineare Algebra |0 (DE-588)1172564329 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Dynamisches System |0 (DE-588)4013396-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Dynamisches System |0 (DE-588)4013396-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Numerische lineare Algebra |0 (DE-588)1172564329 |D s |
| 689 | 1 | |5 DE-604 | |
| 700 | 1 | |a Diepold, Klaus |d ca. 21. Jh. |0 (DE-588)1123651507 |4 aut | |
| 700 | 1 | |a Veen, Alle-Jan van der |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9781009455626 |
| 856 | 4 | 0 | |u https://doi.org/10.1017/9781009455640?locatt=mode:legacy |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-20-CBO | ||
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-035381413 | |
| 966 | e | |u https://doi.org/10.1017/9781009455640?locatt=mode:legacy |l DE-12 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/9781009455640?locatt=mode:legacy |l DE-634 |p ZDB-20-CBO |q BTU_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/9781009455640?locatt=mode:legacy |l DE-92 |p ZDB-20-CBO |q FHN_PDA_CBO |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1817582803153321984 |
|---|---|
| adam_text | |
| any_adam_object | |
| author | Dewilde, Patrick Diepold, Klaus ca. 21. Jh Veen, Alle-Jan van der |
| author_GND | (DE-588)151392226 (DE-588)1123651507 |
| author_facet | Dewilde, Patrick Diepold, Klaus ca. 21. Jh Veen, Alle-Jan van der |
| author_role | aut aut aut |
| author_sort | Dewilde, Patrick |
| author_variant | p d pd k d kd a j v d v ajvd ajvdv |
| building | Verbundindex |
| bvnumber | BV050043721 |
| classification_tum | MAT 150 |
| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9781009455640 (DE-599)BVBBV050043721 |
| dewey-full | 512.9/434 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.9/434 |
| dewey-search | 512.9/434 |
| dewey-sort | 3512.9 3434 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/9781009455640 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000zc 4500</leader><controlfield tag="001">BV050043721</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20241205</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">241126s2025 xx o|||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781009455640</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-009-45564-0</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/9781009455640</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9781009455640</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV050043721</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-92</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512.9/434</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 150</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Dewilde, Patrick</subfield><subfield code="0">(DE-588)151392226</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Time-variant and quasi-separable systems</subfield><subfield code="b">matrix theory, recursions and computations</subfield><subfield code="c">Patrick Dewilde, Klaus Diepold, Alle-Jan Van der Veen</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2025</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xxiv, 306 Seiten)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Title from publisher's bibliographic system (viewed on 23 Oct 2024)</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">A first example : optimal quadratic tracking -- Dynamical systems -- LTV (quasi-separable) systems -- System identification -- State equivalence, state reduction -- Elementary operations -- Inner operators and external factorizations -- Inner-outer factorization -- Application : the Kalman filter -- Polynomial representations -- Quasi-separable Moore-Penrose inversion -- LU (spectral) factorization -- Matrix Schur interpolation -- The scattering picture -- Constrained interpolation -- Constrained model reduction -- Isometric embedding for causal contractions</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Matrix theory is the lingua franca of everyone who deals with dynamically evolving systems, and familiarity with efficient matrix computations is an essential part of the modern curriculum in dynamical systems and associated computation. This is a master's-level textbook on dynamical systems and computational matrix algebra. It is based on the remarkable identity of these two disciplines in the context of linear, time-variant, discrete-time systems and their algebraic equivalent, quasi-separable systems. The authors' approach provides a single, transparent framework that yields simple derivations of basic notions, as well as new and fundamental results such as constrained model reduction, matrix interpolation theory and scattering theory. This book outlines all the fundamental concepts that allow readers to develop the resulting recursive computational schemes needed to solve practical problems. An ideal treatment for graduate students and academics in electrical and computer engineering, computer science and applied mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Matrices</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Linear time invariant systems</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Separable algebras</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical optimization</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Computer algorithms</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Numerische lineare Algebra</subfield><subfield code="0">(DE-588)1172564329</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Dynamisches System</subfield><subfield code="0">(DE-588)4013396-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Dynamisches System</subfield><subfield code="0">(DE-588)4013396-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Numerische lineare Algebra</subfield><subfield code="0">(DE-588)1172564329</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Diepold, Klaus</subfield><subfield code="d">ca. 21. Jh.</subfield><subfield code="0">(DE-588)1123651507</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Veen, Alle-Jan van der</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9781009455626</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/9781009455640?locatt=mode:legacy</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CBO</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-035381413</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/9781009455640?locatt=mode:legacy</subfield><subfield code="l">DE-12</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BSB_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/9781009455640?locatt=mode:legacy</subfield><subfield code="l">DE-634</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BTU_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/9781009455640?locatt=mode:legacy</subfield><subfield code="l">DE-92</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">FHN_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV050043721 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-05T07:00:37Z |
| institution | BVB |
| isbn | 9781009455640 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-035381413 |
| open_access_boolean | |
| owner | DE-12 DE-92 DE-634 |
| owner_facet | DE-12 DE-92 DE-634 |
| physical | 1 Online-Ressource (xxiv, 306 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO BTU_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 2025 |
| publishDateSearch | 2024 |
| publishDateSort | 2024 |
| publisher | Cambridge University Press |
| record_format | marc |
| spelling | Dewilde, Patrick (DE-588)151392226 aut Time-variant and quasi-separable systems matrix theory, recursions and computations Patrick Dewilde, Klaus Diepold, Alle-Jan Van der Veen Cambridge Cambridge University Press 2025 1 Online-Ressource (xxiv, 306 Seiten) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 23 Oct 2024) A first example : optimal quadratic tracking -- Dynamical systems -- LTV (quasi-separable) systems -- System identification -- State equivalence, state reduction -- Elementary operations -- Inner operators and external factorizations -- Inner-outer factorization -- Application : the Kalman filter -- Polynomial representations -- Quasi-separable Moore-Penrose inversion -- LU (spectral) factorization -- Matrix Schur interpolation -- The scattering picture -- Constrained interpolation -- Constrained model reduction -- Isometric embedding for causal contractions Matrix theory is the lingua franca of everyone who deals with dynamically evolving systems, and familiarity with efficient matrix computations is an essential part of the modern curriculum in dynamical systems and associated computation. This is a master's-level textbook on dynamical systems and computational matrix algebra. It is based on the remarkable identity of these two disciplines in the context of linear, time-variant, discrete-time systems and their algebraic equivalent, quasi-separable systems. The authors' approach provides a single, transparent framework that yields simple derivations of basic notions, as well as new and fundamental results such as constrained model reduction, matrix interpolation theory and scattering theory. This book outlines all the fundamental concepts that allow readers to develop the resulting recursive computational schemes needed to solve practical problems. An ideal treatment for graduate students and academics in electrical and computer engineering, computer science and applied mathematics Matrices Linear time invariant systems Separable algebras Mathematical optimization Computer algorithms Numerische lineare Algebra (DE-588)1172564329 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Dynamisches System (DE-588)4013396-5 s DE-604 Numerische lineare Algebra (DE-588)1172564329 s Diepold, Klaus ca. 21. Jh. (DE-588)1123651507 aut Veen, Alle-Jan van der aut Erscheint auch als Druck-Ausgabe 9781009455626 https://doi.org/10.1017/9781009455640?locatt=mode:legacy Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Dewilde, Patrick Diepold, Klaus ca. 21. Jh Veen, Alle-Jan van der Time-variant and quasi-separable systems matrix theory, recursions and computations Matrices Linear time invariant systems Separable algebras Mathematical optimization Computer algorithms Numerische lineare Algebra (DE-588)1172564329 gnd Dynamisches System (DE-588)4013396-5 gnd |
| subject_GND | (DE-588)1172564329 (DE-588)4013396-5 |
| title | Time-variant and quasi-separable systems matrix theory, recursions and computations |
| title_auth | Time-variant and quasi-separable systems matrix theory, recursions and computations |
| title_exact_search | Time-variant and quasi-separable systems matrix theory, recursions and computations |
| title_full | Time-variant and quasi-separable systems matrix theory, recursions and computations Patrick Dewilde, Klaus Diepold, Alle-Jan Van der Veen |
| title_fullStr | Time-variant and quasi-separable systems matrix theory, recursions and computations Patrick Dewilde, Klaus Diepold, Alle-Jan Van der Veen |
| title_full_unstemmed | Time-variant and quasi-separable systems matrix theory, recursions and computations Patrick Dewilde, Klaus Diepold, Alle-Jan Van der Veen |
| title_short | Time-variant and quasi-separable systems |
| title_sort | time variant and quasi separable systems matrix theory recursions and computations |
| title_sub | matrix theory, recursions and computations |
| topic | Matrices Linear time invariant systems Separable algebras Mathematical optimization Computer algorithms Numerische lineare Algebra (DE-588)1172564329 gnd Dynamisches System (DE-588)4013396-5 gnd |
| topic_facet | Matrices Linear time invariant systems Separable algebras Mathematical optimization Computer algorithms Numerische lineare Algebra Dynamisches System |
| url | https://doi.org/10.1017/9781009455640?locatt=mode:legacy |
| work_keys_str_mv | AT dewildepatrick timevariantandquasiseparablesystemsmatrixtheoryrecursionsandcomputations AT diepoldklaus timevariantandquasiseparablesystemsmatrixtheoryrecursionsandcomputations AT veenallejanvander timevariantandquasiseparablesystemsmatrixtheoryrecursionsandcomputations |