Theory of errors and generalized matrix inverses:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam [u.a.]
Elsevier
1973
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 420 S. graph. Darst. |
| ISBN: | 0444409815 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV001953356 | ||
| 003 | DE-604 | ||
| 005 | 20200703 | ||
| 007 | t | ||
| 008 | 890928s1973 d||| |||| 00||| eng d | ||
| 020 | |a 0444409815 |9 0-444-40981-5 | ||
| 035 | |a (OCoLC)39244094 | ||
| 035 | |a (DE-599)BVBBV001953356 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-91 |a DE-91G |a DE-355 |a DE-824 |a DE-29T |a DE-20 |a DE-19 |a DE-706 |a DE-83 |a DE-11 |a DE-188 | ||
| 050 | 0 | |a QA275 | |
| 082 | 0 | |a 511.43 | |
| 084 | |a QH 233 |0 (DE-625)141548: |2 rvk | ||
| 084 | |a SK 830 |0 (DE-625)143259: |2 rvk | ||
| 084 | |a SK 915 |0 (DE-625)143271: |2 rvk | ||
| 084 | |a 65G05 |2 msc | ||
| 084 | |a 15A09 |2 msc | ||
| 084 | |a 65F20 |2 msc | ||
| 100 | 1 | |a Bjerhammar, Arne |d 1917-2011 |e Verfasser |0 (DE-588)1213116562 |4 aut | |
| 240 | 1 | 0 | |a Felteori |
| 245 | 1 | 0 | |a Theory of errors and generalized matrix inverses |c Arne Bjerhammar |
| 264 | 1 | |a Amsterdam [u.a.] |b Elsevier |c 1973 | |
| 300 | |a XII, 420 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Erreurs, Théorie des | |
| 650 | 4 | |a Estimation, Théorie de l' | |
| 650 | 4 | |a Matrices - Inversion | |
| 650 | 4 | |a Error analysis (Mathematics) | |
| 650 | 4 | |a Estimation theory | |
| 650 | 4 | |a Matrix inversion | |
| 650 | 0 | 7 | |a Approximationstheorie |0 (DE-588)4120913-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Inverse Matrix |0 (DE-588)4162224-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Optimierung |0 (DE-588)4043664-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Approximationstheorie |0 (DE-588)4120913-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Inverse Matrix |0 (DE-588)4162224-8 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Optimierung |0 (DE-588)4043664-0 |D s |
| 689 | 2 | |5 DE-604 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001273371&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-001273371 | ||
| 980 | 4 | |a (DE-12)AK02370536 | |
Datensatz im Suchindex
| _version_ | 1804116394992730112 |
|---|---|
| adam_text | Contents
Preface V
Chapter 1. Introduction 1
1.1 Rounding Errors 2
1.2 Non-accidental Errors 3
1.3 Accidental Errors 5
1.4 Approach 6
1.5 Terminology 6
Chapter 2. Stochastic Models 8
2.1 Sets 8
2.2 Outcomes 8
2.3 Discrete Outcome Spaces (Populations) 10
2.4 Probability 12
2.5 Probability in Discrete Outcome Spaces 13
2.6 Conditional Probability 14
2.7 Independent Outcomes 14
2.8 Stochastic Variables 16
2.9 Expectations 21
2.10 Distributions 23
2.10.1 Distribution of Rounding Errors 23
2.10.2 The Binomial Distribution 23
2.10.3 The Exponential Distribution 24
2.10.4 The Cauchy Distribution 24
2.10.5 The Standardized Normal Distribution 24
2.10.6 General Normal Distribution 25
2.10.7 The x2-Distribution 25
2.10.8 The F-Distribution 26
2.10.9 The ^-Distribution 27
2.11 Moment Generators 27
2.12 Characteristic Functions 29
2.13 The Two-dimensional Normal Distribution 30
2.14 Covariance and Correlation 31
2.15 The Central Limit Theorem 32
2.16 The Stochastic Model of a Sample 33
2.17 Estimates 36
2.18 Confidence Interval 38
2.19 The Maximum Likelihood Method 40
viii CONTENTS
Chapter 3. Hypothesis Testing 43
3.1 One-way Hypothesis 43
3.2 Two-way Hypothesis 44
3.3 Interpretation of the Test Results in a Computer Approach 44
3.4 Test Against a Theoretical Distribution (x2-test) 46
3.5 Test of Independence (x2-test) 47
3.6 Test of Common Distribution (x2-test) 49
3.7 The Power of a Test 50
3.8 The Bartlett Test 53
3.9 The Mean Square Successive Difference Test 54
Chapter 4. Samples 56
4.1 The Internal Variance (Variance within means) 57
4.2 The External Variance (Variance among means) 58
4.3 The Total Variance 59
4.4 Special Variances 60
4.5 Variance of a Sum 61
4.6 Stratification 62
4.7 The Variance of a Non-linear Function 63
4.8 Weighted Mean 65
4.8.1. Examples of Practical Applications with Weighted Means. ... 67
Chapter 5. The Normal Distribution 73
5.1 The Average Error 75
5.2 The Probable Error 75
Chapter 6. Student s Distribution (Computer Approach) 77
Chapter 7. Fisher s Distribution (Computer Approach) 79
Chapter 8. The Method of Least Squares 80
8.1 Least Squares Applications 81
8.2 Analysis of Variance for Direct Observations 83
8.3 Analysis of Variance for Polygons of Observations 86
8.4 Analysis of Variance for Two-way Variations 90
8.5 Indirect Observations of the Unknowns 95
Chapter 9. Matrix Approach 99
9.1 The Complete Set of Solutions Ill
Chapter 10. The Central Estimation Theorem 114
CONTENTS ix
Chapter 11. The Method of Least Squares (Adjustment by Elements) 121
11.1 The Generalized Method of Least Squares (Adjustment by Elements) . .124
11.2 An Unbiased Estimate of the Variance 127
11.3 Variances of Estimated Parameters 128
11.4 Analysis of Variance when using Adjustment by Elements 132
11.5 Analysis of Variances from Independent Unknowns 134
11.6 Non-linear Stochastic Models in Adjustment by Elements . . . . . .136
11.7 Variation of Coordinates 137
11.7.1 Adjustment of Triangulation 137
11.7.2 Adjustment of Trilateration 142
11.8 The Error Ellipse 144
11.9 Regression Analysis 147
11.9.1 Non-linear Transformation 153
11.9.2 Central Perspective Transformation 155
11.9.3 Harmonic Analysis 156
11.9.4 Testing the Order of a Polynomial 159
11.10 Calibration 161
11.11 Adjustment of a Junction Point 162
11.12 Adjustment in Groups (Pranis—Praniewitsch) 164
Chapter 12. Condition Adjustment 165
12.1 The Classical Approach to Condition Adjustment 165
12.2 Generalized Condition Adjustment 167
12.3 General Computation of Variances from Condition Adjustment . . . .172
12.4 Analysis of Variance for Condition Adjustment 174
12.5 Analysis of Variance in a Triangle 175
12.6 Non-linear Relations in Condition Adjustment 178
12.7 Transition from Adjustment by Elements to Condition Adjustment . . .183
12.8 Linearly Dependent Conditions 184
12.9 Condition Adjustment with Noise 186
Chapter 13. Combined Adjustment 187
13.1 The Classical Approach to Combined Adjustment 187
13.2 Combined Adjustment with the Use of Infinite Weights 189
13.3 Generalized Combined Adjustment 191
13.4 Analysis of Variances in a Combined Adjustment 193
13.5 Analysis of Variance of Levelling Networks 193
Chapter 14. Adjustment of Traverses 199
14.1 Strict Adjustment of the Simple Traverse 199
14.2 Analysis of Variance of the Simple Traverse 201
14.3 Numerical Adjustment of a Traverse 206
X CONTENTS
14.4 Approximate Adjustment of Traverses 208
14.4.1 Adjustment with Fictitious Observed Quantities 209
Chapter 15. Adjustment of Traverse Nets 210
15.1 The Strict Adjustment of Traverse Nets 210
15.2 Approximate Adjustment 210
15.2.1 Approximate Adjustment by Elements 210
15.2.2 The Adjustment of the Traverse after a Net Adjustment .... 212
Chapter 16. Triangulation Adjustment with Analysis of Variances 217
16.1 Directions 217
16.2 Angles 223
16.3 Angles in all Combinations 226
16.3.1 Numerical Computation of the Variance 233
16.4 Conditions in Triangulation Nets 238
16.4.1 Number of Conditions 239
16.4.2 Number of Angular Conditions 239
16.4.3 Side Conditions 240
16.4.4 Base Conditions 242
16.4.5 Coordinate Conditions 243
16.5 Tests of Weights 247
Chapter 17. Condition Adjustment in Groups 250
17.1 Partitioning by Columns into Three Submatrices 252
Chapter 18. Advanced Analysis of Distributions 254
18.1 The Multidimensional Normal Distribution 254
18.2 Distribution of Quadratic Forms 255
18.3 Independence of Quadratic Forms 256
18.4 Latent Root Analysis 257
18.5 Latent Roots of General Networks 262
18.6 Analysis of Variance of Dependent Quadratic Forms 262
18.7 Numerical Computations 264
18.7.1 Computation of Latent Roots 264
18.7.2 Test of Two Independent Chains 267
18.7.3 Test of Estimated Variance Against a2 268
18.7.4 Tests on Larger Network 268
Chapter 19. Variance Analysis for Relative Orientation 274
19.1 Photogrammetric Triangulation 277
Chapter 20. Condition Adjustment with Unknowns 278
20.1 The Classical Approach 278
20.2 Generalized Condition Adjustment with Unknowns 278
CONTENTS Xi
Chapter 21. Correlated Observations 282
21.1 Net Adjustment of Correlated Observations 285
21.1.1 Station Adjustment 285
21.1.2 Variances from the Station Adjustment 287
21.1.3 Adjustment of Correlated Angles 288
21.1.4 Combined Station Adjustment and Net Adjustment of the
Triangulation Chain 289
21.1.5 Direction Adjustment of Net Conditions 291
Chapter 22. The Optimum Network 293
Chapter 23. Advanced Estimation 296
23.1 The Zero Variance Problem 296
23.2 Condition Adjustment with Singular Covariance Matrix 297
23.3 Singular Systems of Observation Equations 298
23.3.1 Infinitesimal Approach 299
23.3.2 Normal Equations 301
Chapter 24. The Best Linear Unbiased Estimate 304
24.1 The Optimal Linear Unbiased Estimate 308
Chapter 25. Filtering and Prediction 310
25.1 Discrete Kalman Filtering and Prediction 310
25.1.1 Kalman Models 312
25.2 The Discrete Wiener—Hopf Approach 316
25.3 Filtering and Prediction of Continuous Time Series 320
Chapter 26. Non-stochastic Methods 324
26.1 Deterministic Prediction 324
26.2 Integral Equations 325
26.2.1 Gravity Reduction 325
26.2.2 Density Estimation 326
Chapter 27. Numerical Methods 327
27.1 Cholesky s Method for the Solution of Normal Equations 328
27.2 The Method of Cholesky-Rubin 328
27.3 The Method of Gauss 329
27.4 Iterative Solutions of Normal Equations 334
27.5 Direct Solution Without Normal Equations 336
27.6 Truncated Triangular Decomposition 337
27.7 Orthogonalization(QR-factorization) 341
27.7.1 Practical Procedures in Orthogonalization 342
xii CONTENTS
27.8 Rank Factorization 345
27.9 Singular Value Decomposition 345
27.10 The Householder Transformation 347
27.11 Complex Matrices 348
Chapter 28. Error Norms 349
Chapter 29. Geometrical Approach to Least Squares 355
29.1 Equation of the Plane 355
29.1.1 The Implicit Primary Equation 355
29.1.2 The Explicit Primary Equation (Linear Representation) .... 359
29.1.3 The Explicit Primary Equation (Point Representation) . . . .361
29.2 Line Intersection 361
29.2.1 Two Planes Intersecting in Space 361
29.2.2 The Explicit Primary Equation 364
29.2.3 The Shortest Distance between Two Non-intersecting Lines. . . 366
29.3 Point Intersection (Cayley Problems) 367
Appendix 1. General Definitions and Computational Rules for Matrix Calculations . 369
A.1 Definitions 369
A.2 Generalized Matrix Algebra 377
A.2.1 The Definition of a General Matrix Inverse 377
A.2.2 The General Inverse of a Matrix 379
A.2.3 The Reciprocal Inverse of a Matrix 383
A.2.4 The Normal Inverse 384
A.2.5 The Transnormal Inverse 387
A.2.6 The Intrinsic Inverse 389
A.2.7 The Regular Inverse 392
A.2.8 The Unit Matrices of an Arbitrary Matrix 392
A.3 Hilbert Spaces 395
A.4 Collocation 398
Appendix 2. Tables 400
Table 1. The Normal Distribution 400
Table 2. The ^-Distribution [values of tp for P(t tP)] 401
Table 3A. The F-Distribution [P(s ls F) = 5%, a - 0.05] 402
Table 3B. The F-Distribution [P{s ls F)= 1%, a =0.01] 404
Table 4. The x2 -Distribution 406
References 407
Index 415
|
| any_adam_object | 1 |
| author | Bjerhammar, Arne 1917-2011 |
| author_GND | (DE-588)1213116562 |
| author_facet | Bjerhammar, Arne 1917-2011 |
| author_role | aut |
| author_sort | Bjerhammar, Arne 1917-2011 |
| author_variant | a b ab |
| building | Verbundindex |
| bvnumber | BV001953356 |
| callnumber-first | Q - Science |
| callnumber-label | QA275 |
| callnumber-raw | QA275 |
| callnumber-search | QA275 |
| callnumber-sort | QA 3275 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | QH 233 SK 830 SK 915 |
| ctrlnum | (OCoLC)39244094 (DE-599)BVBBV001953356 |
| dewey-full | 511.43 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.43 |
| dewey-search | 511.43 |
| dewey-sort | 3511.43 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02062nam a2200565 c 4500</leader><controlfield tag="001">BV001953356</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20200703 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">890928s1973 d||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0444409815</subfield><subfield code="9">0-444-40981-5</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)39244094</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV001953356</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</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-91</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA275</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">511.43</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">QH 233</subfield><subfield code="0">(DE-625)141548:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 830</subfield><subfield code="0">(DE-625)143259:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 915</subfield><subfield code="0">(DE-625)143271:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">65G05</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">15A09</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">65F20</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Bjerhammar, Arne</subfield><subfield code="d">1917-2011</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1213116562</subfield><subfield code="4">aut</subfield></datafield><datafield tag="240" ind1="1" ind2="0"><subfield code="a">Felteori</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Theory of errors and generalized matrix inverses</subfield><subfield code="c">Arne Bjerhammar</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Amsterdam [u.a.]</subfield><subfield code="b">Elsevier</subfield><subfield code="c">1973</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XII, 420 S.</subfield><subfield code="b">graph. Darst.</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">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Erreurs, Théorie des</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Estimation, Théorie de l'</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Matrices - Inversion</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Error analysis (Mathematics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Estimation theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Matrix inversion</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Approximationstheorie</subfield><subfield code="0">(DE-588)4120913-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Inverse Matrix</subfield><subfield code="0">(DE-588)4162224-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Optimierung</subfield><subfield code="0">(DE-588)4043664-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Approximationstheorie</subfield><subfield code="0">(DE-588)4120913-8</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">Inverse Matrix</subfield><subfield code="0">(DE-588)4162224-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Optimierung</subfield><subfield code="0">(DE-588)4043664-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001273371&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-001273371</subfield></datafield><datafield tag="980" ind1="4" ind2=" "><subfield code="a">(DE-12)AK02370536</subfield></datafield></record></collection> |
| id | DE-604.BV001953356 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:37:49Z |
| institution | BVB |
| isbn | 0444409815 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001273371 |
| oclc_num | 39244094 |
| open_access_boolean | |
| owner | DE-12 DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-824 DE-29T DE-20 DE-19 DE-BY-UBM DE-706 DE-83 DE-11 DE-188 |
| owner_facet | DE-12 DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-824 DE-29T DE-20 DE-19 DE-BY-UBM DE-706 DE-83 DE-11 DE-188 |
| physical | XII, 420 S. graph. Darst. |
| publishDate | 1973 |
| publishDateSearch | 1973 |
| publishDateSort | 1973 |
| publisher | Elsevier |
| record_format | marc |
| spelling | Bjerhammar, Arne 1917-2011 Verfasser (DE-588)1213116562 aut Felteori Theory of errors and generalized matrix inverses Arne Bjerhammar Amsterdam [u.a.] Elsevier 1973 XII, 420 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Erreurs, Théorie des Estimation, Théorie de l' Matrices - Inversion Error analysis (Mathematics) Estimation theory Matrix inversion Approximationstheorie (DE-588)4120913-8 gnd rswk-swf Inverse Matrix (DE-588)4162224-8 gnd rswk-swf Optimierung (DE-588)4043664-0 gnd rswk-swf Approximationstheorie (DE-588)4120913-8 s DE-604 Inverse Matrix (DE-588)4162224-8 s Optimierung (DE-588)4043664-0 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001273371&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bjerhammar, Arne 1917-2011 Theory of errors and generalized matrix inverses Erreurs, Théorie des Estimation, Théorie de l' Matrices - Inversion Error analysis (Mathematics) Estimation theory Matrix inversion Approximationstheorie (DE-588)4120913-8 gnd Inverse Matrix (DE-588)4162224-8 gnd Optimierung (DE-588)4043664-0 gnd |
| subject_GND | (DE-588)4120913-8 (DE-588)4162224-8 (DE-588)4043664-0 |
| title | Theory of errors and generalized matrix inverses |
| title_alt | Felteori |
| title_auth | Theory of errors and generalized matrix inverses |
| title_exact_search | Theory of errors and generalized matrix inverses |
| title_full | Theory of errors and generalized matrix inverses Arne Bjerhammar |
| title_fullStr | Theory of errors and generalized matrix inverses Arne Bjerhammar |
| title_full_unstemmed | Theory of errors and generalized matrix inverses Arne Bjerhammar |
| title_short | Theory of errors and generalized matrix inverses |
| title_sort | theory of errors and generalized matrix inverses |
| topic | Erreurs, Théorie des Estimation, Théorie de l' Matrices - Inversion Error analysis (Mathematics) Estimation theory Matrix inversion Approximationstheorie (DE-588)4120913-8 gnd Inverse Matrix (DE-588)4162224-8 gnd Optimierung (DE-588)4043664-0 gnd |
| topic_facet | Erreurs, Théorie des Estimation, Théorie de l' Matrices - Inversion Error analysis (Mathematics) Estimation theory Matrix inversion Approximationstheorie Inverse Matrix Optimierung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001273371&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT bjerhammararne felteori AT bjerhammararne theoryoferrorsandgeneralizedmatrixinverses |