Linear algebra and linear models:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York
Springer
2000
|
| Edition: | second edition |
| Series: | Universitext
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 133 - 135 |
| Physical Description: | x, 138 Seiten |
| ISBN: | 0387988718 |
Staff View
MARC
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| 100 | 1 | |a Bapat, Ravi B. |0 (DE-588)115635831 |4 aut | |
| 245 | 1 | 0 | |a Linear algebra and linear models |c R. B. Bapat |
| 250 | |a second edition | ||
| 264 | 1 | |a New York |b Springer |c 2000 | |
| 300 | |a x, 138 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Universitext | |
| 500 | |a Literaturverz. S. 133 - 135 | ||
| 650 | 4 | |a Lineare Algebra | |
| 650 | 4 | |a Lineares Modell | |
| 650 | 4 | |a Algebras, Linear | |
| 650 | 4 | |a Linear models (Statistics) | |
| 650 | 0 | 7 | |a Lineares Modell |0 (DE-588)4134827-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Lineare Algebra |0 (DE-588)4035811-2 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Lineare Algebra |0 (DE-588)4035811-2 |D s |
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Record in the Search Index
| _version_ | 1807864963535994880 |
|---|---|
| adam_text |
CONTENTS
PREFACE
V
NOTATION
INDEX
IX
1
VECTOR
SPACES
AND
MATRICES
1
1.1
PRELIMINARIES
.
1
1.2
VECTOR
SPACES
AND
SUBSPACES
.
4
1.3
BASIS
AND
DIMENSION
.
5
1.4
RANK
.
8
1.5
ORTHOGONALITY
.
10
1.6
NONSINGULARITY
.
14
1.7
FROBENIUS
INEQUALITY
.
16
1.8
EIGENVALUES
AND
THE
SPECTRAL
THEOREM
.
18
1.9
EXERCISES
.
22
1.10
HINTS
AND
SOLUTIONS
.
25
'
2
LINEAR
ESTIMATION
29
2.1
GENERALIZED
INVERSES
.
29
2.2
LINEAR
MODEL
.
33
2.3
ESTIMABILITY
.
35
2.4
WEIGHING
DESIGNS
.
38
2.5
RESIDUAL
SUM
OF
SQUARES
.
40
2.6
ESTIMATION
SUBJECT
TO
RESTRICTIONS
.
42
2.7
EXERCISES
.
46
2.8
HINTS
AND
SOLUTIONS
.
48
VIII
CONTENTS
3
TESTS
OF
LINEAR
HYPOTHESES
51
3.1
SCHUR
COMPLEMENTS
.
51
3.2
MULTIVARIATE
NORMAL
DISTRIBUTION
.
53
3.3
QUADRATIC
FORMS
AND
COCHRAN
'
S
THEOREM
.
57
3.4
ONE-WAY
AND
TWO-WAY
CLASSIFICATIONS
.
61
3.5
GENERAL
LINEAR
HYPOTHESIS
.
65
3.6
EXTREMA
OF
QUADRATIC
FORMS
.
67
3.7
MULTIPLE
CORRELATION
AND
REGRESSION
MODELS
.
69
3.8
EXERCISES
.
73
3.9
HINTS
AND
SOLUTIONS
.
76
4
SINGULAR
VALUES
AND
THEIR
APPLICATIONS
79
4.1
SINGULAR
VALUE
DECOMPOSITION
.
79
4.2
EXTREMAL
REPRESENTATIONS
.
81
4.3
MAJORIZATION
.
84
4.4
PRINCIPAL
COMPONENTS
.
86
4.5
CANONICAL
CORRELATIONS
.
88
4.6
VOLUME
OF
A
MATRIX
.
89
4.7
EXERCISES
.
93
4.8
HINTS
AND
SOLUTIONS
.
94
5
BLOCK
DESIGNS
AND
OPTIMALITY
99
5.1
REDUCED
NORMAL
EQUATIONS
.
99
5.2
THE
C-MATRIX
.
102
5.3
E-,
A-,
AND
D-OPTIMALITY
.
103
5.4
EXERCISES
.
108
5.5
HINTS
AND
SOLUTIONS
.
HO
6
RANK
ADDITIVITY
6.1
PRELIMINARIES
.
H$
6.2
CHARACTERIZATIONS
OF
RANK
ADDITIVITY
.
114
6.3
GENERAL
LINEAR
MODEL
.
H8
6.4
THE
STAR
ORDER
.
122
6.5
EXERCISES
.
124
6.6
HINTS
AND
SOLUTIONS
.
126
NOTES
129
REFERENCES
INDEX
137 |
| any_adam_object | 1 |
| author | Bapat, Ravi B. |
| author_GND | (DE-588)115635831 |
| author_facet | Bapat, Ravi B. |
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| building | Verbundindex |
| bvnumber | BV013248622 |
| callnumber-first | Q - Science |
| callnumber-label | QA184 |
| callnumber-raw | QA184 |
| callnumber-search | QA184 |
| callnumber-sort | QA 3184 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 220 SK 840 |
| classification_tum | MAT 150f MAT 620f |
| ctrlnum | (OCoLC)246305503 (DE-599)BVBBV013248622 |
| dewey-full | 512.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.5 |
| dewey-search | 512.5 |
| dewey-sort | 3512.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | second edition |
| format | Book |
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| id | DE-604.BV013248622 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-20T00:39:41Z |
| institution | BVB |
| isbn | 0387988718 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009029728 |
| oclc_num | 246305503 |
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| physical | x, 138 Seiten |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Springer |
| record_format | marc |
| series2 | Universitext |
| spelling | Bapat, Ravi B. (DE-588)115635831 aut Linear algebra and linear models R. B. Bapat second edition New York Springer 2000 x, 138 Seiten txt rdacontent n rdamedia nc rdacarrier Universitext Literaturverz. S. 133 - 135 Lineare Algebra Lineares Modell Algebras, Linear Linear models (Statistics) Lineares Modell (DE-588)4134827-8 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 s DE-604 Lineares Modell (DE-588)4134827-8 s Erscheint auch als Online-Ausgabe 978-0-387-22601-9 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009029728&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bapat, Ravi B. Linear algebra and linear models Lineare Algebra Lineares Modell Algebras, Linear Linear models (Statistics) Lineares Modell (DE-588)4134827-8 gnd Lineare Algebra (DE-588)4035811-2 gnd |
| subject_GND | (DE-588)4134827-8 (DE-588)4035811-2 |
| title | Linear algebra and linear models |
| title_auth | Linear algebra and linear models |
| title_exact_search | Linear algebra and linear models |
| title_full | Linear algebra and linear models R. B. Bapat |
| title_fullStr | Linear algebra and linear models R. B. Bapat |
| title_full_unstemmed | Linear algebra and linear models R. B. Bapat |
| title_short | Linear algebra and linear models |
| title_sort | linear algebra and linear models |
| topic | Lineare Algebra Lineares Modell Algebras, Linear Linear models (Statistics) Lineares Modell (DE-588)4134827-8 gnd Lineare Algebra (DE-588)4035811-2 gnd |
| topic_facet | Lineare Algebra Lineares Modell Algebras, Linear Linear models (Statistics) |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009029728&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT bapatravib linearalgebraandlinearmodels |