Error estimates and condition numbers for radial basis function interpolation
Abstract For interpolation of scattered multivariate data by radial basis functions, an “uncertainty relation” between the attainable error and the condition of the interpolation matrices is proven. It states that the error and the condition number cannot both be kept small. Bounds on the Lebesgue c...
Ausführliche Beschreibung
Autor*in: |
Schaback, Robert [verfasserIn] |
---|
Format: |
Artikel |
---|---|
Sprache: |
Englisch |
Erschienen: |
1995 |
---|
Schlagwörter: |
---|
Anmerkung: |
© J.C. Baltzer AG, Science Publishers 1995 |
---|
Übergeordnetes Werk: |
Enthalten in: Advances in computational mathematics - Springer US, 1993, 3(1995), 3 vom: Apr., Seite 251-264 |
---|---|
Übergeordnetes Werk: |
volume:3 ; year:1995 ; number:3 ; month:04 ; pages:251-264 |
Links: |
---|
DOI / URN: |
10.1007/BF02432002 |
---|
Katalog-ID: |
OLC207562111X |
---|
LEADER | 01000caa a22002652 4500 | ||
---|---|---|---|
001 | OLC207562111X | ||
003 | DE-627 | ||
005 | 20230502194128.0 | ||
007 | tu | ||
008 | 200820s1995 xx ||||| 00| ||eng c | ||
024 | 7 | |a 10.1007/BF02432002 |2 doi | |
035 | |a (DE-627)OLC207562111X | ||
035 | |a (DE-He213)BF02432002-p | ||
040 | |a DE-627 |b ger |c DE-627 |e rakwb | ||
041 | |a eng | ||
082 | 0 | 4 | |a 510 |q VZ |
100 | 1 | |a Schaback, Robert |e verfasserin |4 aut | |
245 | 1 | 0 | |a Error estimates and condition numbers for radial basis function interpolation |
264 | 1 | |c 1995 | |
336 | |a Text |b txt |2 rdacontent | ||
337 | |a ohne Hilfsmittel zu benutzen |b n |2 rdamedia | ||
338 | |a Band |b nc |2 rdacarrier | ||
500 | |a © J.C. Baltzer AG, Science Publishers 1995 | ||
520 | |a Abstract For interpolation of scattered multivariate data by radial basis functions, an “uncertainty relation” between the attainable error and the condition of the interpolation matrices is proven. It states that the error and the condition number cannot both be kept small. Bounds on the Lebesgue constants are obtained as a byproduct. A variation of the Narcowich-Ward theory of upper bounds on the norm of the inverse of the interpolation matrix is presented in order to handle the whole set of radial basis functions that are currently in use. | ||
650 | 4 | |a Radial Basis Function | |
650 | 4 | |a Lebesgue Constant | |
650 | 4 | |a Interpolation Matrix | |
650 | 4 | |a Radial Basis Function Interpolation | |
650 | 4 | |a Radial Basis Func | |
773 | 0 | 8 | |i Enthalten in |t Advances in computational mathematics |d Springer US, 1993 |g 3(1995), 3 vom: Apr., Seite 251-264 |w (DE-627)165684380 |w (DE-600)1164256-7 |w (DE-576)038869179 |x 1019-7168 |7 nnns |
773 | 1 | 8 | |g volume:3 |g year:1995 |g number:3 |g month:04 |g pages:251-264 |
856 | 4 | 1 | |u https://doi.org/10.1007/BF02432002 |z lizenzpflichtig |3 Volltext |
912 | |a GBV_USEFLAG_A | ||
912 | |a SYSFLAG_A | ||
912 | |a GBV_OLC | ||
912 | |a SSG-OLC-MAT | ||
912 | |a SSG-OPC-MAT | ||
912 | |a GBV_ILN_62 | ||
912 | |a GBV_ILN_70 | ||
912 | |a GBV_ILN_2002 | ||
912 | |a GBV_ILN_2009 | ||
912 | |a GBV_ILN_2088 | ||
912 | |a GBV_ILN_4012 | ||
912 | |a GBV_ILN_4027 | ||
912 | |a GBV_ILN_4323 | ||
951 | |a AR | ||
952 | |d 3 |j 1995 |e 3 |c 04 |h 251-264 |
author_variant |
r s rs |
---|---|
matchkey_str |
article:10197168:1995----::roetmtsncniinubrfrailaifn |
hierarchy_sort_str |
1995 |
publishDate |
1995 |
allfields |
10.1007/BF02432002 doi (DE-627)OLC207562111X (DE-He213)BF02432002-p DE-627 ger DE-627 rakwb eng 510 VZ Schaback, Robert verfasserin aut Error estimates and condition numbers for radial basis function interpolation 1995 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © J.C. Baltzer AG, Science Publishers 1995 Abstract For interpolation of scattered multivariate data by radial basis functions, an “uncertainty relation” between the attainable error and the condition of the interpolation matrices is proven. It states that the error and the condition number cannot both be kept small. Bounds on the Lebesgue constants are obtained as a byproduct. A variation of the Narcowich-Ward theory of upper bounds on the norm of the inverse of the interpolation matrix is presented in order to handle the whole set of radial basis functions that are currently in use. Radial Basis Function Lebesgue Constant Interpolation Matrix Radial Basis Function Interpolation Radial Basis Func Enthalten in Advances in computational mathematics Springer US, 1993 3(1995), 3 vom: Apr., Seite 251-264 (DE-627)165684380 (DE-600)1164256-7 (DE-576)038869179 1019-7168 nnns volume:3 year:1995 number:3 month:04 pages:251-264 https://doi.org/10.1007/BF02432002 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_62 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2009 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4027 GBV_ILN_4323 AR 3 1995 3 04 251-264 |
spelling |
10.1007/BF02432002 doi (DE-627)OLC207562111X (DE-He213)BF02432002-p DE-627 ger DE-627 rakwb eng 510 VZ Schaback, Robert verfasserin aut Error estimates and condition numbers for radial basis function interpolation 1995 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © J.C. Baltzer AG, Science Publishers 1995 Abstract For interpolation of scattered multivariate data by radial basis functions, an “uncertainty relation” between the attainable error and the condition of the interpolation matrices is proven. It states that the error and the condition number cannot both be kept small. Bounds on the Lebesgue constants are obtained as a byproduct. A variation of the Narcowich-Ward theory of upper bounds on the norm of the inverse of the interpolation matrix is presented in order to handle the whole set of radial basis functions that are currently in use. Radial Basis Function Lebesgue Constant Interpolation Matrix Radial Basis Function Interpolation Radial Basis Func Enthalten in Advances in computational mathematics Springer US, 1993 3(1995), 3 vom: Apr., Seite 251-264 (DE-627)165684380 (DE-600)1164256-7 (DE-576)038869179 1019-7168 nnns volume:3 year:1995 number:3 month:04 pages:251-264 https://doi.org/10.1007/BF02432002 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_62 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2009 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4027 GBV_ILN_4323 AR 3 1995 3 04 251-264 |
allfields_unstemmed |
10.1007/BF02432002 doi (DE-627)OLC207562111X (DE-He213)BF02432002-p DE-627 ger DE-627 rakwb eng 510 VZ Schaback, Robert verfasserin aut Error estimates and condition numbers for radial basis function interpolation 1995 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © J.C. Baltzer AG, Science Publishers 1995 Abstract For interpolation of scattered multivariate data by radial basis functions, an “uncertainty relation” between the attainable error and the condition of the interpolation matrices is proven. It states that the error and the condition number cannot both be kept small. Bounds on the Lebesgue constants are obtained as a byproduct. A variation of the Narcowich-Ward theory of upper bounds on the norm of the inverse of the interpolation matrix is presented in order to handle the whole set of radial basis functions that are currently in use. Radial Basis Function Lebesgue Constant Interpolation Matrix Radial Basis Function Interpolation Radial Basis Func Enthalten in Advances in computational mathematics Springer US, 1993 3(1995), 3 vom: Apr., Seite 251-264 (DE-627)165684380 (DE-600)1164256-7 (DE-576)038869179 1019-7168 nnns volume:3 year:1995 number:3 month:04 pages:251-264 https://doi.org/10.1007/BF02432002 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_62 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2009 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4027 GBV_ILN_4323 AR 3 1995 3 04 251-264 |
allfieldsGer |
10.1007/BF02432002 doi (DE-627)OLC207562111X (DE-He213)BF02432002-p DE-627 ger DE-627 rakwb eng 510 VZ Schaback, Robert verfasserin aut Error estimates and condition numbers for radial basis function interpolation 1995 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © J.C. Baltzer AG, Science Publishers 1995 Abstract For interpolation of scattered multivariate data by radial basis functions, an “uncertainty relation” between the attainable error and the condition of the interpolation matrices is proven. It states that the error and the condition number cannot both be kept small. Bounds on the Lebesgue constants are obtained as a byproduct. A variation of the Narcowich-Ward theory of upper bounds on the norm of the inverse of the interpolation matrix is presented in order to handle the whole set of radial basis functions that are currently in use. Radial Basis Function Lebesgue Constant Interpolation Matrix Radial Basis Function Interpolation Radial Basis Func Enthalten in Advances in computational mathematics Springer US, 1993 3(1995), 3 vom: Apr., Seite 251-264 (DE-627)165684380 (DE-600)1164256-7 (DE-576)038869179 1019-7168 nnns volume:3 year:1995 number:3 month:04 pages:251-264 https://doi.org/10.1007/BF02432002 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_62 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2009 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4027 GBV_ILN_4323 AR 3 1995 3 04 251-264 |
allfieldsSound |
10.1007/BF02432002 doi (DE-627)OLC207562111X (DE-He213)BF02432002-p DE-627 ger DE-627 rakwb eng 510 VZ Schaback, Robert verfasserin aut Error estimates and condition numbers for radial basis function interpolation 1995 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © J.C. Baltzer AG, Science Publishers 1995 Abstract For interpolation of scattered multivariate data by radial basis functions, an “uncertainty relation” between the attainable error and the condition of the interpolation matrices is proven. It states that the error and the condition number cannot both be kept small. Bounds on the Lebesgue constants are obtained as a byproduct. A variation of the Narcowich-Ward theory of upper bounds on the norm of the inverse of the interpolation matrix is presented in order to handle the whole set of radial basis functions that are currently in use. Radial Basis Function Lebesgue Constant Interpolation Matrix Radial Basis Function Interpolation Radial Basis Func Enthalten in Advances in computational mathematics Springer US, 1993 3(1995), 3 vom: Apr., Seite 251-264 (DE-627)165684380 (DE-600)1164256-7 (DE-576)038869179 1019-7168 nnns volume:3 year:1995 number:3 month:04 pages:251-264 https://doi.org/10.1007/BF02432002 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_62 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2009 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4027 GBV_ILN_4323 AR 3 1995 3 04 251-264 |
language |
English |
source |
Enthalten in Advances in computational mathematics 3(1995), 3 vom: Apr., Seite 251-264 volume:3 year:1995 number:3 month:04 pages:251-264 |
sourceStr |
Enthalten in Advances in computational mathematics 3(1995), 3 vom: Apr., Seite 251-264 volume:3 year:1995 number:3 month:04 pages:251-264 |
format_phy_str_mv |
Article |
institution |
findex.gbv.de |
topic_facet |
Radial Basis Function Lebesgue Constant Interpolation Matrix Radial Basis Function Interpolation Radial Basis Func |
dewey-raw |
510 |
isfreeaccess_bool |
false |
container_title |
Advances in computational mathematics |
authorswithroles_txt_mv |
Schaback, Robert @@aut@@ |
publishDateDaySort_date |
1995-04-01T00:00:00Z |
hierarchy_top_id |
165684380 |
dewey-sort |
3510 |
id |
OLC207562111X |
language_de |
englisch |
fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC207562111X</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230502194128.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200820s1995 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/BF02432002</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC207562111X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)BF02432002-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Schaback, Robert</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Error estimates and condition numbers for radial basis function interpolation</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">1995</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© J.C. Baltzer AG, Science Publishers 1995</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract For interpolation of scattered multivariate data by radial basis functions, an “uncertainty relation” between the attainable error and the condition of the interpolation matrices is proven. It states that the error and the condition number cannot both be kept small. Bounds on the Lebesgue constants are obtained as a byproduct. A variation of the Narcowich-Ward theory of upper bounds on the norm of the inverse of the interpolation matrix is presented in order to handle the whole set of radial basis functions that are currently in use.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Radial Basis Function</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Lebesgue Constant</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Interpolation Matrix</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Radial Basis Function Interpolation</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Radial Basis Func</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Advances in computational mathematics</subfield><subfield code="d">Springer US, 1993</subfield><subfield code="g">3(1995), 3 vom: Apr., Seite 251-264</subfield><subfield code="w">(DE-627)165684380</subfield><subfield code="w">(DE-600)1164256-7</subfield><subfield code="w">(DE-576)038869179</subfield><subfield code="x">1019-7168</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:3</subfield><subfield code="g">year:1995</subfield><subfield code="g">number:3</subfield><subfield code="g">month:04</subfield><subfield code="g">pages:251-264</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/BF02432002</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_62</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2002</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2009</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2088</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4012</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4027</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4323</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">3</subfield><subfield code="j">1995</subfield><subfield code="e">3</subfield><subfield code="c">04</subfield><subfield code="h">251-264</subfield></datafield></record></collection>
|
author |
Schaback, Robert |
spellingShingle |
Schaback, Robert ddc 510 misc Radial Basis Function misc Lebesgue Constant misc Interpolation Matrix misc Radial Basis Function Interpolation misc Radial Basis Func Error estimates and condition numbers for radial basis function interpolation |
authorStr |
Schaback, Robert |
ppnlink_with_tag_str_mv |
@@773@@(DE-627)165684380 |
format |
Article |
dewey-ones |
510 - Mathematics |
delete_txt_mv |
keep |
author_role |
aut |
collection |
OLC |
remote_str |
false |
illustrated |
Not Illustrated |
issn |
1019-7168 |
topic_title |
510 VZ Error estimates and condition numbers for radial basis function interpolation Radial Basis Function Lebesgue Constant Interpolation Matrix Radial Basis Function Interpolation Radial Basis Func |
topic |
ddc 510 misc Radial Basis Function misc Lebesgue Constant misc Interpolation Matrix misc Radial Basis Function Interpolation misc Radial Basis Func |
topic_unstemmed |
ddc 510 misc Radial Basis Function misc Lebesgue Constant misc Interpolation Matrix misc Radial Basis Function Interpolation misc Radial Basis Func |
topic_browse |
ddc 510 misc Radial Basis Function misc Lebesgue Constant misc Interpolation Matrix misc Radial Basis Function Interpolation misc Radial Basis Func |
format_facet |
Aufsätze Gedruckte Aufsätze |
format_main_str_mv |
Text Zeitschrift/Artikel |
carriertype_str_mv |
nc |
hierarchy_parent_title |
Advances in computational mathematics |
hierarchy_parent_id |
165684380 |
dewey-tens |
510 - Mathematics |
hierarchy_top_title |
Advances in computational mathematics |
isfreeaccess_txt |
false |
familylinks_str_mv |
(DE-627)165684380 (DE-600)1164256-7 (DE-576)038869179 |
title |
Error estimates and condition numbers for radial basis function interpolation |
ctrlnum |
(DE-627)OLC207562111X (DE-He213)BF02432002-p |
title_full |
Error estimates and condition numbers for radial basis function interpolation |
author_sort |
Schaback, Robert |
journal |
Advances in computational mathematics |
journalStr |
Advances in computational mathematics |
lang_code |
eng |
isOA_bool |
false |
dewey-hundreds |
500 - Science |
recordtype |
marc |
publishDateSort |
1995 |
contenttype_str_mv |
txt |
container_start_page |
251 |
author_browse |
Schaback, Robert |
container_volume |
3 |
class |
510 VZ |
format_se |
Aufsätze |
author-letter |
Schaback, Robert |
doi_str_mv |
10.1007/BF02432002 |
dewey-full |
510 |
title_sort |
error estimates and condition numbers for radial basis function interpolation |
title_auth |
Error estimates and condition numbers for radial basis function interpolation |
abstract |
Abstract For interpolation of scattered multivariate data by radial basis functions, an “uncertainty relation” between the attainable error and the condition of the interpolation matrices is proven. It states that the error and the condition number cannot both be kept small. Bounds on the Lebesgue constants are obtained as a byproduct. A variation of the Narcowich-Ward theory of upper bounds on the norm of the inverse of the interpolation matrix is presented in order to handle the whole set of radial basis functions that are currently in use. © J.C. Baltzer AG, Science Publishers 1995 |
abstractGer |
Abstract For interpolation of scattered multivariate data by radial basis functions, an “uncertainty relation” between the attainable error and the condition of the interpolation matrices is proven. It states that the error and the condition number cannot both be kept small. Bounds on the Lebesgue constants are obtained as a byproduct. A variation of the Narcowich-Ward theory of upper bounds on the norm of the inverse of the interpolation matrix is presented in order to handle the whole set of radial basis functions that are currently in use. © J.C. Baltzer AG, Science Publishers 1995 |
abstract_unstemmed |
Abstract For interpolation of scattered multivariate data by radial basis functions, an “uncertainty relation” between the attainable error and the condition of the interpolation matrices is proven. It states that the error and the condition number cannot both be kept small. Bounds on the Lebesgue constants are obtained as a byproduct. A variation of the Narcowich-Ward theory of upper bounds on the norm of the inverse of the interpolation matrix is presented in order to handle the whole set of radial basis functions that are currently in use. © J.C. Baltzer AG, Science Publishers 1995 |
collection_details |
GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_62 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2009 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4027 GBV_ILN_4323 |
container_issue |
3 |
title_short |
Error estimates and condition numbers for radial basis function interpolation |
url |
https://doi.org/10.1007/BF02432002 |
remote_bool |
false |
ppnlink |
165684380 |
mediatype_str_mv |
n |
isOA_txt |
false |
hochschulschrift_bool |
false |
doi_str |
10.1007/BF02432002 |
up_date |
2024-07-04T01:48:13.226Z |
_version_ |
1803611215733194752 |
fullrecord_marcxml |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC207562111X</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230502194128.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200820s1995 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/BF02432002</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC207562111X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)BF02432002-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Schaback, Robert</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Error estimates and condition numbers for radial basis function interpolation</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">1995</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© J.C. Baltzer AG, Science Publishers 1995</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract For interpolation of scattered multivariate data by radial basis functions, an “uncertainty relation” between the attainable error and the condition of the interpolation matrices is proven. It states that the error and the condition number cannot both be kept small. Bounds on the Lebesgue constants are obtained as a byproduct. A variation of the Narcowich-Ward theory of upper bounds on the norm of the inverse of the interpolation matrix is presented in order to handle the whole set of radial basis functions that are currently in use.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Radial Basis Function</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Lebesgue Constant</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Interpolation Matrix</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Radial Basis Function Interpolation</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Radial Basis Func</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Advances in computational mathematics</subfield><subfield code="d">Springer US, 1993</subfield><subfield code="g">3(1995), 3 vom: Apr., Seite 251-264</subfield><subfield code="w">(DE-627)165684380</subfield><subfield code="w">(DE-600)1164256-7</subfield><subfield code="w">(DE-576)038869179</subfield><subfield code="x">1019-7168</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:3</subfield><subfield code="g">year:1995</subfield><subfield code="g">number:3</subfield><subfield code="g">month:04</subfield><subfield code="g">pages:251-264</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/BF02432002</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_62</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2002</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2009</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2088</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4012</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4027</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4323</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">3</subfield><subfield code="j">1995</subfield><subfield code="e">3</subfield><subfield code="c">04</subfield><subfield code="h">251-264</subfield></datafield></record></collection>
|
score |
7.4013987 |