Zero behavior in perturbed systems of polynomial equations / von Günther Hans Thallinger
eng: If the data of a system of polynomial equations has only a limited accuracy, then the computation of the zero set (solution of the system) must be subject to small changes (perturbation) in the data. In this sense a system of polynomial equations whose zero set contains multiple zeros and/or z...
Saved in:
VerfasserIn: | |
---|---|
Place / Publishing House: | 1998 |
Year of Publication: | 1998 |
Language: | English |
Subjects: | |
Physical Description: | 80 Bl. |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
id |
990003080340504498 |
---|---|
ctrlnum |
AC02520240 (AT-OBV)AC02520240 (Aleph)002519790ACC01 (DE-599)OBVAC02520240 (EXLNZ-43ACC_NETWORK)990025197900203331 |
collection |
bib_alma |
institution |
YWOAW |
building |
MAG1-3 |
record_format |
marc |
spelling |
Thallinger, Günther Hans aut Zero behavior in perturbed systems of polynomial equations von Günther Hans Thallinger 1998 80 Bl. Wien, Techn. Univ., Diss., 1998 eng: If the data of a system of polynomial equations has only a limited accuracy, then the computation of the zero set (solution of the system) must be subject to small changes (perturbation) in the data. In this sense a system of polynomial equations whose zero set contains multiple zeros and/or zero manifolds is a degenerate case of a 0-dimensional polynomial system (set of polynomials which generate a 0-dimensional ideal), since upon a general perturbation a multiple zero or a zero manifold becomes a finite set of isolated simple zeros. These 0- dimensional polynomial systems pose severe difficulties to common localization procedures to analyze the behavior of multiple zeros and zero manifolds upon perturbations and present numerically stable localization algorithms. Zsfassung in dt. Sprache Polynom s (DE-588)4046711-9 Gleichungssystem s (DE-588)4128766-6 Störung s (DE-588)4133232-5 Nullstelle s (DE-588)4140515-8 AT-OBV ONBREB YWOAW MAG1-3 28473-C.Stip. 2222198280004498 |
language |
English |
format |
Thesis Book |
author |
Thallinger, Günther Hans |
spellingShingle |
Thallinger, Günther Hans Zero behavior in perturbed systems of polynomial equations Polynom (DE-588)4046711-9 Gleichungssystem (DE-588)4128766-6 Störung (DE-588)4133232-5 Nullstelle (DE-588)4140515-8 |
author_facet |
Thallinger, Günther Hans |
author_variant |
g h t gh ght |
author_role |
VerfasserIn |
author_sort |
Thallinger, Günther Hans |
title |
Zero behavior in perturbed systems of polynomial equations |
title_full |
Zero behavior in perturbed systems of polynomial equations von Günther Hans Thallinger |
title_fullStr |
Zero behavior in perturbed systems of polynomial equations von Günther Hans Thallinger |
title_full_unstemmed |
Zero behavior in perturbed systems of polynomial equations von Günther Hans Thallinger |
title_auth |
Zero behavior in perturbed systems of polynomial equations |
title_new |
Zero behavior in perturbed systems of polynomial equations |
title_sort |
zero behavior in perturbed systems of polynomial equations |
publishDate |
1998 |
physical |
80 Bl. |
callnumber-raw |
28473-C.Stip. |
callnumber-search |
28473-C.Stip. |
topic |
Polynom (DE-588)4046711-9 Gleichungssystem (DE-588)4128766-6 Störung (DE-588)4133232-5 Nullstelle (DE-588)4140515-8 |
topic_facet |
Polynom Gleichungssystem Störung Nullstelle |
illustrated |
Not Illustrated |
work_keys_str_mv |
AT thallingerguntherhans zerobehaviorinperturbedsystemsofpolynomialequations |
status_str |
n |
ids_txt_mv |
(AT-OBV)AC02520240 AC02520240 (Aleph)002519790ACC01 (DE-599)OBVAC02520240 (EXLNZ-43ACC_NETWORK)990025197900203331 |
hol852bOwn_txt_mv |
YWOAW |
hol852hSignatur_txt_mv |
28473-C.Stip. |
hol852cSonderstandort_txt_mv |
MAG1-3 |
itmData_txt_mv |
2001-12-17 01:00:00 Europe/Vienna |
barcode_str_mv |
+YW22905607 |
callnumbers_txt_mv |
28473-C.Stip. |
inventoryNumbers_str_mv |
OAW-10946 |
materialTypes_str_mv |
BOOK |
permanentLibraries_str_mv |
YWOAW |
permanentLocations_str_mv |
MAG1-3 |
inventoryDates_str_mv |
20080625 |
createdDates_str_mv |
2001-12-17 01:00:00 Europe/Vienna |
holdingIds_str_mv |
2222198280004498 |
is_hierarchy_id |
AC02520240 |
is_hierarchy_title |
Zero behavior in perturbed systems of polynomial equations |
_version_ |
1793640015634366464 |
fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01787nam#a2200349#c#4500</leader><controlfield tag="001">990003080340504498</controlfield><controlfield tag="005">20231218121523.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">990409|1998####|||######m####|||#|#eng#c</controlfield><controlfield tag="009">AC02520240</controlfield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">OeBB</subfield><subfield code="2">oeb</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(AT-OBV)AC02520240</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">AC02520240</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(Aleph)002519790ACC01</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)OBVAC02520240</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(EXLNZ-43ACC_NETWORK)990025197900203331</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">TUW</subfield><subfield code="b">ger</subfield><subfield code="d">ONB</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="c">XA-AT</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Thallinger, Günther Hans</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Zero behavior in perturbed systems of polynomial equations</subfield><subfield code="c">von Günther Hans Thallinger</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">1998</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">80 Bl.</subfield></datafield><datafield tag="502" ind1=" " ind2=" "><subfield code="a">Wien, Techn. Univ., Diss., 1998</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">eng: If the data of a system of polynomial equations has only a limited accuracy, then the computation of the zero set (solution of the system) must be subject to small changes (perturbation) in the data. In this sense a system of polynomial equations whose zero set contains multiple zeros and/or zero manifolds is a degenerate case of a 0-dimensional polynomial system (set of polynomials which generate a 0-dimensional ideal), since upon a general perturbation a multiple zero or a zero manifold becomes a finite set of isolated simple zeros. These 0- dimensional polynomial systems pose severe difficulties to common localization procedures to analyze the behavior of multiple zeros and zero manifolds upon perturbations and present numerically stable localization algorithms. </subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">Zsfassung in dt. Sprache</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Polynom</subfield><subfield code="D">s</subfield><subfield code="0">(DE-588)4046711-9</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Gleichungssystem</subfield><subfield code="D">s</subfield><subfield code="0">(DE-588)4128766-6</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Störung</subfield><subfield code="D">s</subfield><subfield code="0">(DE-588)4133232-5</subfield></datafield><datafield tag="689" ind1="0" ind2="3"><subfield code="a">Nullstelle</subfield><subfield code="D">s</subfield><subfield code="0">(DE-588)4140515-8</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">AT-OBV</subfield><subfield code="5">ONBREB</subfield></datafield><datafield tag="970" ind1="1" ind2=" "><subfield code="c">23</subfield></datafield><datafield tag="970" ind1="2" ind2=" "><subfield code="d">HS-DISS</subfield></datafield><datafield tag="ADM" ind1=" " ind2=" "><subfield code="b">2024-03-15 19:16:21 Europe/Vienna</subfield><subfield code="d">20</subfield><subfield code="f">System</subfield><subfield code="c">marc21</subfield><subfield code="a">2018-12-24 09:51:56 Europe/Vienna</subfield><subfield code="g">false</subfield></datafield><datafield tag="HOL" ind1="8" ind2=" "><subfield code="b">YWOAW</subfield><subfield code="h"> 28473-C.Stip. </subfield><subfield code="c">MAG1-3</subfield><subfield code="8">2222198280004498</subfield></datafield><datafield tag="852" ind1="8" ind2=" "><subfield code="b">YWOAW</subfield><subfield code="c">MAG1-3</subfield><subfield code="h"> 28473-C.Stip. </subfield><subfield code="8">2222198280004498</subfield></datafield><datafield tag="ITM" ind1=" " ind2=" "><subfield code="9">2222198280004498</subfield><subfield code="e">1</subfield><subfield code="m">BOOK</subfield><subfield code="b">+YW22905607</subfield><subfield code="i">OAW-10946</subfield><subfield code="2">MAG1-3</subfield><subfield code="o">20080625</subfield><subfield code="8">2322198270004498</subfield><subfield code="f">02</subfield><subfield code="p">2001-12-17 01:00:00 Europe/Vienna</subfield><subfield code="h">28473-C.Stip.</subfield><subfield code="1">YWOAW</subfield><subfield code="q">2022-06-09 11:50:40 Europe/Vienna</subfield></datafield></record></collection> |