MARC details
| 000 -LEADER |
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| fixed length control field |
02889cam a22003378i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
22153362 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20230501151131.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
210717s2022 enk b 001 0 eng |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
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| LC control number |
2021029851 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9788195782901 |
| Qualifying information |
(paperback) |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
LBSOR/DLC |
| Language of cataloging |
eng |
| Description conventions |
rda |
| Transcribing agency |
IISERB |
| 042 ## - AUTHENTICATION CODE |
|---|
| Authentication code |
pcc |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA188 |
| Item number |
.K45 2022 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
512.9434 K527M |
| Edition number |
23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Khare, Apoorva. |
| 9 (RLIN) |
29217 |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Matrix analysis and entrywise positivity preservers |
| Statement of responsibility, etc |
Apoorva Khare. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc |
New Delhi: |
| Name of publisher, distributor, etc |
Hindustan Book Agency, |
| Date of publication, distribution, etc |
2022. |
| 263 ## - PROJECTED PUBLICATION DATE |
|---|
| Projected publication date |
2112 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xxii, 339p. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Includes bibliographical references and index. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
The cone of positive semidefinite matrices -- The Schur product theorem and nonzero lower bounds -- Totally positive (T P) and Totally non-negative (T N) matrices -- T P matrices--generalized Vandermonde and Hankel moment matrices -- Entrywise powers preserving positivity in fixed dimension -- Mid-convex implies continuous, and 2 x 2 preservers -- Entrywise preservers of positivity on matrices with zero patterns -- Entrywise powers preserving positivity, monotonicity, superadditivity -- Loewner convexity and single matrix encoders of preservers -- Exercises -- History--Schoenberg, Rudin, Vasudeva, and metric geometry -- Loewner's determinant calculation in Horn's thesis -- The stronger Horn-Loewner theorem, via mollifiers -- Stronger Vasudeva and Schoenberg theorems, via Bernstein's theorem -- Proof of stronger Schoenberg theorem (part I)--positivity certificates -- Proof of stronger Schoenberg theorem (part II)--real analyticity -- Proof of stronger Schoenberg theorem (part III)--complex analysis -- Preservers of Loewner positivity on kernels -- Preservers of Loewner monotonicity and convexity on kernels -- Functions acting outside forbidden diagonal blocks -- The Boas-Widder theorem on functions with positive differences -- Menger's results and Euclidean distance geometry -- Exercises -- Entrywise polynomial preservers and Horn-Loewner type conditions -- Polynomial preservers for rank-one matrices, via Schur polynomials -- First-order approximation and leading term of Schur polynomials -- Exact quantitative bound--monotonicity of Schur ratios -- Polynomial preservers on matrices with real or complex entries -- Cauchy and Littlewood's definitions of Schur polynomials -- Exercises. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Matrices. |
| 9 (RLIN) |
29218 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Composition operators. |
| 9 (RLIN) |
29219 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Positive operators. |
| 9 (RLIN) |
29220 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Kernel functions. |
| 9 (RLIN) |
29221 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Online version: |
| Main entry heading |
Khare, Apoorva. |
| Title |
Matrix analysis and entrywise positivity preservers |
| Place, publisher, and date of publication |
Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2022 |
| International Standard Book Number |
9781108867122 |
| Record control number |
(DLC) 2021029852 |
| 906 ## - LOCAL DATA ELEMENT F, LDF (RLIN) |
|---|
| a |
7 |
| b |
cbc |
| c |
orignew |
| d |
1 |
| e |
ecip |
| f |
20 |
| g |
y-gencatlg |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
