Positive definite matrices /:
This book represents the first synthesis of the considerable body of new research into positive definite matrices. These matrices play the same role in noncommutative analysis as positive real numbers do in classical analysis. They have theoretical and co.
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, N.J. :
Princeton University Press,
©2007.
|
| Schriftenreihe: | Princeton series in applied mathematics.
|
| Schlagworte: | |
| Online-Zugang: | DE-862 DE-863 |
| Zusammenfassung: | This book represents the first synthesis of the considerable body of new research into positive definite matrices. These matrices play the same role in noncommutative analysis as positive real numbers do in classical analysis. They have theoretical and co. |
| Beschreibung: | 1 online resource (ix, 254 pages) |
| Bibliographie: | Includes bibliographical references (pages 237-245) and index. |
| ISBN: | 9781400827787 1400827787 1282129740 9781282129740 9786612129742 6612129743 |
Internformat
MARC
| LEADER | 00000cam a2200000 a 4500 | ||
|---|---|---|---|
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| 005 | 20240705115654.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 090520s2007 nju ob 001 0 eng d | ||
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| 100 | 1 | |a Bhatia, Rajendra, |d 1952- |e author. |1 https://id.oclc.org/worldcat/entity/E39PBJkMMWgg9dFHrkh8FTtYfq |0 http://id.loc.gov/authorities/names/n82058270 | |
| 245 | 1 | 0 | |a Positive definite matrices / |c Rajendra Bhatia. |
| 260 | |a Princeton, N.J. : |b Princeton University Press, |c ©2007. | ||
| 300 | |a 1 online resource (ix, 254 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Princeton series in applied mathematics | |
| 504 | |a Includes bibliographical references (pages 237-245) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Positive matrices -- Positive linear maps -- Completely positive maps -- Matrix means -- Positive definite functions -- Geometry of positive matrices. | |
| 520 | |a This book represents the first synthesis of the considerable body of new research into positive definite matrices. These matrices play the same role in noncommutative analysis as positive real numbers do in classical analysis. They have theoretical and co. | ||
| 546 | |a In English. | ||
| 650 | 0 | |a Matrices. |0 http://id.loc.gov/authorities/subjects/sh85082210 | |
| 650 | 6 | |a Matrices. | |
| 650 | 7 | |a MATHEMATICS |x Matrices. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x Differential. |2 bisacsh | |
| 650 | 7 | |a Matrices |2 fast | |
| 653 | |a Addition. | ||
| 653 | |a Analytic continuation. | ||
| 653 | |a Arithmetic mean. | ||
| 653 | |a Banach space. | ||
| 653 | |a Binomial theorem. | ||
| 653 | |a Block matrix. | ||
| 653 | |a Bochner's theorem. | ||
| 653 | |a Calculation. | ||
| 653 | |a Cauchy matrix. | ||
| 653 | |a Cauchy-Schwarz inequality. | ||
| 653 | |a Characteristic polynomial. | ||
| 653 | |a Coefficient. | ||
| 653 | |a Commutative property. | ||
| 653 | |a Compact space. | ||
| 653 | |a Completely positive map. | ||
| 653 | |a Complex number. | ||
| 653 | |a Computation. | ||
| 653 | |a Continuous function. | ||
| 653 | |a Convex combination. | ||
| 653 | |a Convex function. | ||
| 653 | |a Convex set. | ||
| 653 | |a Corollary. | ||
| 653 | |a Density matrix. | ||
| 653 | |a Diagonal matrix. | ||
| 653 | |a Differential geometry. | ||
| 653 | |a Eigenvalues and eigenvectors. | ||
| 653 | |a Equation. | ||
| 653 | |a Equivalence relation. | ||
| 653 | |a Existential quantification. | ||
| 653 | |a Extreme point. | ||
| 653 | |a Fourier transform. | ||
| 653 | |a Functional analysis. | ||
| 653 | |a Fundamental theorem. | ||
| 653 | |a G. H. Hardy. | ||
| 653 | |a Gamma function. | ||
| 653 | |a Geometric mean. | ||
| 653 | |a Geometry. | ||
| 653 | |a Hadamard product (matrices). | ||
| 653 | |a Hahn-Banach theorem. | ||
| 653 | |a Harmonic analysis. | ||
| 653 | |a Hermitian matrix. | ||
| 653 | |a Hilbert space. | ||
| 653 | |a Hyperbolic function. | ||
| 653 | |a Infimum and supremum. | ||
| 653 | |a Infinite divisibility (probability). | ||
| 653 | |a Invertible matrix. | ||
| 653 | |a Lecture. | ||
| 653 | |a Linear algebra. | ||
| 653 | |a Linear map. | ||
| 653 | |a Logarithm. | ||
| 653 | |a Logarithmic mean. | ||
| 653 | |a Mathematics. | ||
| 653 | |a Matrix (mathematics). | ||
| 653 | |a Matrix analysis. | ||
| 653 | |a Matrix unit. | ||
| 653 | |a Metric space. | ||
| 653 | |a Monotonic function. | ||
| 653 | |a Natural number. | ||
| 653 | |a Open set. | ||
| 653 | |a Operator algebra. | ||
| 653 | |a Operator system. | ||
| 653 | |a Orthonormal basis. | ||
| 653 | |a Partial trace. | ||
| 653 | |a Positive definiteness. | ||
| 653 | |a Positive element. | ||
| 653 | |a Positive map. | ||
| 653 | |a Positive semidefinite. | ||
| 653 | |a Positive-definite function. | ||
| 653 | |a Positive-definite matrix. | ||
| 653 | |a Probability measure. | ||
| 653 | |a Probability. | ||
| 653 | |a Projection (linear algebra). | ||
| 653 | |a Quantity. | ||
| 653 | |a Quantum computing. | ||
| 653 | |a Quantum information. | ||
| 653 | |a Quantum statistical mechanics. | ||
| 653 | |a Real number. | ||
| 653 | |a Riccati equation. | ||
| 653 | |a Riemannian geometry. | ||
| 653 | |a Riemannian manifold. | ||
| 653 | |a Riesz representation theorem. | ||
| 653 | |a Right half-plane. | ||
| 653 | |a Schur complement. | ||
| 653 | |a Schur's theorem. | ||
| 653 | |a Scientific notation. | ||
| 653 | |a Self-adjoint operator. | ||
| 653 | |a Sign (mathematics). | ||
| 653 | |a Special case. | ||
| 653 | |a Spectral theorem. | ||
| 653 | |a Square root. | ||
| 653 | |a Standard basis. | ||
| 653 | |a Summation. | ||
| 653 | |a Tensor product. | ||
| 653 | |a Theorem. | ||
| 653 | |a Toeplitz matrix. | ||
| 653 | |a Unit vector. | ||
| 653 | |a Unitary matrix. | ||
| 653 | |a Unitary operator. | ||
| 653 | |a Upper half-plane. | ||
| 653 | |a Variable (mathematics). | ||
| 758 | |i has work: |a Positive definite matrices (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGPYVWyQJ7kWFc4kBkXBKd |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Bhatia, Rajendra, 1952- |t Positive definite matrices. |d Princeton, N.J. : Princeton University Press, ©2007 |z 0691129185 |z 9780691129181 |w (DLC) 2006050375 |w (OCoLC)70668921 |
| 830 | 0 | |a Princeton series in applied mathematics. |0 http://id.loc.gov/authorities/names/no2002046464 | |
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Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn330822909 |
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| _version_ | 1826941605033017344 |
| adam_text | |
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| author | Bhatia, Rajendra, 1952- |
| author_GND | http://id.loc.gov/authorities/names/n82058270 |
| author_facet | Bhatia, Rajendra, 1952- |
| author_role | aut |
| author_sort | Bhatia, Rajendra, 1952- |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 220 |
| collection | ZDB-4-EBA |
| contents | Positive matrices -- Positive linear maps -- Completely positive maps -- Matrix means -- Positive definite functions -- Geometry of positive matrices. |
| ctrlnum | (OCoLC)330822909 |
| 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 |
| format | Electronic eBook |
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"><subfield code="a">Includes bibliographical references (pages 237-245) and index.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Print version record.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">Positive matrices -- Positive linear maps -- Completely positive maps -- Matrix means -- Positive definite functions -- Geometry of positive matrices.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This book represents the first synthesis of the considerable body of new research into positive definite matrices. These matrices play the same role in noncommutative analysis as positive real numbers do in classical analysis. 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| id | ZDB-4-EBA-ocn330822909 |
| illustrated | Not Illustrated |
| indexdate | 2025-03-18T14:14:46Z |
| institution | BVB |
| isbn | 9781400827787 1400827787 1282129740 9781282129740 9786612129742 6612129743 |
| language | English |
| oclc_num | 330822909 |
| open_access_boolean | |
| owner | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| physical | 1 online resource (ix, 254 pages) |
| psigel | ZDB-4-EBA FWS_PDA_EBA ZDB-4-EBA |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Princeton University Press, |
| record_format | marc |
| series | Princeton series in applied mathematics. |
| series2 | Princeton series in applied mathematics |
| spelling | Bhatia, Rajendra, 1952- author. https://id.oclc.org/worldcat/entity/E39PBJkMMWgg9dFHrkh8FTtYfq http://id.loc.gov/authorities/names/n82058270 Positive definite matrices / Rajendra Bhatia. Princeton, N.J. : Princeton University Press, ©2007. 1 online resource (ix, 254 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Princeton series in applied mathematics Includes bibliographical references (pages 237-245) and index. Print version record. Positive matrices -- Positive linear maps -- Completely positive maps -- Matrix means -- Positive definite functions -- Geometry of positive matrices. This book represents the first synthesis of the considerable body of new research into positive definite matrices. These matrices play the same role in noncommutative analysis as positive real numbers do in classical analysis. They have theoretical and co. In English. Matrices. http://id.loc.gov/authorities/subjects/sh85082210 Matrices. MATHEMATICS Matrices. bisacsh MATHEMATICS Geometry Differential. bisacsh Matrices fast Addition. Analytic continuation. Arithmetic mean. Banach space. Binomial theorem. Block matrix. Bochner's theorem. Calculation. Cauchy matrix. Cauchy-Schwarz inequality. Characteristic polynomial. Coefficient. Commutative property. Compact space. Completely positive map. Complex number. Computation. Continuous function. Convex combination. Convex function. Convex set. Corollary. Density matrix. Diagonal matrix. Differential geometry. Eigenvalues and eigenvectors. Equation. Equivalence relation. Existential quantification. Extreme point. Fourier transform. Functional analysis. Fundamental theorem. G. H. Hardy. Gamma function. Geometric mean. Geometry. Hadamard product (matrices). Hahn-Banach theorem. Harmonic analysis. Hermitian matrix. Hilbert space. Hyperbolic function. Infimum and supremum. Infinite divisibility (probability). Invertible matrix. Lecture. Linear algebra. Linear map. Logarithm. Logarithmic mean. Mathematics. Matrix (mathematics). Matrix analysis. Matrix unit. Metric space. Monotonic function. Natural number. Open set. Operator algebra. Operator system. Orthonormal basis. Partial trace. Positive definiteness. Positive element. Positive map. Positive semidefinite. Positive-definite function. Positive-definite matrix. Probability measure. Probability. Projection (linear algebra). Quantity. Quantum computing. Quantum information. Quantum statistical mechanics. Real number. Riccati equation. Riemannian geometry. Riemannian manifold. Riesz representation theorem. Right half-plane. Schur complement. Schur's theorem. Scientific notation. Self-adjoint operator. Sign (mathematics). Special case. Spectral theorem. Square root. Standard basis. Summation. Tensor product. Theorem. Toeplitz matrix. Unit vector. Unitary matrix. Unitary operator. Upper half-plane. Variable (mathematics). has work: Positive definite matrices (Text) https://id.oclc.org/worldcat/entity/E39PCGPYVWyQJ7kWFc4kBkXBKd https://id.oclc.org/worldcat/ontology/hasWork Print version: Bhatia, Rajendra, 1952- Positive definite matrices. Princeton, N.J. : Princeton University Press, ©2007 0691129185 9780691129181 (DLC) 2006050375 (OCoLC)70668921 Princeton series in applied mathematics. http://id.loc.gov/authorities/names/no2002046464 |
| spellingShingle | Bhatia, Rajendra, 1952- Positive definite matrices / Princeton series in applied mathematics. Positive matrices -- Positive linear maps -- Completely positive maps -- Matrix means -- Positive definite functions -- Geometry of positive matrices. Matrices. http://id.loc.gov/authorities/subjects/sh85082210 Matrices. MATHEMATICS Matrices. bisacsh MATHEMATICS Geometry Differential. bisacsh Matrices fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85082210 |
| title | Positive definite matrices / |
| title_auth | Positive definite matrices / |
| title_exact_search | Positive definite matrices / |
| title_full | Positive definite matrices / Rajendra Bhatia. |
| title_fullStr | Positive definite matrices / Rajendra Bhatia. |
| title_full_unstemmed | Positive definite matrices / Rajendra Bhatia. |
| title_short | Positive definite matrices / |
| title_sort | positive definite matrices |
| topic | Matrices. http://id.loc.gov/authorities/subjects/sh85082210 Matrices. MATHEMATICS Matrices. bisacsh MATHEMATICS Geometry Differential. bisacsh Matrices fast |
| topic_facet | Matrices. MATHEMATICS Matrices. MATHEMATICS Geometry Differential. Matrices |
| work_keys_str_mv | AT bhatiarajendra positivedefinitematrices |