Symmetry with Operator Theory and Equations
A plethora of problems from diverse disciplines such as Mathematics, Mathematical: Biology, Chemistry, Economics, Physics, Scientific Computing and also Engineering can be formulated as an equation defined in abstract spaces using Mathematical Modelling. The solutions of these equations can be found...
Saved in:
| : | |
|---|---|
| Year of Publication: | 2019 |
| Language: | English |
| Physical Description: | 1 electronic resource (208 p.) |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| id |
993548227704498 |
|---|---|
| ctrlnum |
(CKB)4100000010106200 (oapen)https://directory.doabooks.org/handle/20.500.12854/60388 (EXLCZ)994100000010106200 |
| collection |
bib_alma |
| record_format |
marc |
| spelling |
Argyros, Ioannis auth Symmetry with Operator Theory and Equations MDPI - Multidisciplinary Digital Publishing Institute 2019 1 electronic resource (208 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier A plethora of problems from diverse disciplines such as Mathematics, Mathematical: Biology, Chemistry, Economics, Physics, Scientific Computing and also Engineering can be formulated as an equation defined in abstract spaces using Mathematical Modelling. The solutions of these equations can be found in closed form only in special case. That is why researchers and practitioners utilize iterative procedures from which a sequence is being generated approximating the solution under some conditions on the initial data. This type of research is considered most interesting and challenging. This is our motivation for the introduction of this special issue on Iterative Procedures. English Lipschitz condition order of convergence Scalar equations local and semilocal convergence multiple roots Nondifferentiable operator optimal iterative methods Order of convergence convergence order fast algorithms iterative method computational convergence order generalized mixed equilibrium problem nonlinear equations systems of nonlinear equations Chebyshev’s iterative method local convergence iterative methods divided difference Multiple roots semi-local convergence scalar equations left Bregman asymptotically nonexpansive mapping basin of attraction maximal monotone operator Newton–HSS method general means Steffensen’s method derivative-free method simple roots fixed point problem split variational inclusion problem weighted-Newton method ball radius of convergence Traub–Steffensen method Newton’s method fractional derivative Banach space multiple-root solvers uniformly convex and uniformly smooth Banach space Fréchet-derivative optimal convergence Optimal iterative methods basins of attraction nonlinear equation 3-03921-666-X |
| language |
English |
| format |
eBook |
| author |
Argyros, Ioannis |
| spellingShingle |
Argyros, Ioannis Symmetry with Operator Theory and Equations |
| author_facet |
Argyros, Ioannis |
| author_variant |
i a ia |
| author_sort |
Argyros, Ioannis |
| title |
Symmetry with Operator Theory and Equations |
| title_full |
Symmetry with Operator Theory and Equations |
| title_fullStr |
Symmetry with Operator Theory and Equations |
| title_full_unstemmed |
Symmetry with Operator Theory and Equations |
| title_auth |
Symmetry with Operator Theory and Equations |
| title_new |
Symmetry with Operator Theory and Equations |
| title_sort |
symmetry with operator theory and equations |
| publisher |
MDPI - Multidisciplinary Digital Publishing Institute |
| publishDate |
2019 |
| physical |
1 electronic resource (208 p.) |
| isbn |
3-03921-667-8 3-03921-666-X |
| illustrated |
Not Illustrated |
| work_keys_str_mv |
AT argyrosioannis symmetrywithoperatortheoryandequations |
| status_str |
n |
| ids_txt_mv |
(CKB)4100000010106200 (oapen)https://directory.doabooks.org/handle/20.500.12854/60388 (EXLCZ)994100000010106200 |
| carrierType_str_mv |
cr |
| is_hierarchy_title |
Symmetry with Operator Theory and Equations |
| _version_ |
1796652167997685761 |
| fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03271nam-a2200805z--4500</leader><controlfield tag="001">993548227704498</controlfield><controlfield tag="005">20231214133438.0</controlfield><controlfield tag="006">m o d </controlfield><controlfield tag="007">cr|mn|---annan</controlfield><controlfield tag="008">202102s2019 xx |||||o ||| 0|eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3-03921-667-8</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(CKB)4100000010106200</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(oapen)https://directory.doabooks.org/handle/20.500.12854/60388</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(EXLCZ)994100000010106200</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Argyros, Ioannis</subfield><subfield code="4">auth</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Symmetry with Operator Theory and Equations</subfield></datafield><datafield tag="260" ind1=" " ind2=" "><subfield code="b">MDPI - Multidisciplinary Digital Publishing Institute</subfield><subfield code="c">2019</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 electronic resource (208 p.)</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">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">A plethora of problems from diverse disciplines such as Mathematics, Mathematical: Biology, Chemistry, Economics, Physics, Scientific Computing and also Engineering can be formulated as an equation defined in abstract spaces using Mathematical Modelling. The solutions of these equations can be found in closed form only in special case. That is why researchers and practitioners utilize iterative procedures from which a sequence is being generated approximating the solution under some conditions on the initial data. This type of research is considered most interesting and challenging. This is our motivation for the introduction of this special issue on Iterative Procedures.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">English</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Lipschitz condition</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">order of convergence</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Scalar equations</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">local and semilocal convergence</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">multiple roots</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Nondifferentiable operator</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">optimal iterative methods</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Order of convergence</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">convergence order</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">fast algorithms</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">iterative method</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">computational convergence order</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">generalized mixed equilibrium problem</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">nonlinear equations</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">systems of nonlinear equations</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Chebyshev’s iterative method</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">local convergence</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">iterative methods</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">divided difference</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Multiple roots</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">semi-local convergence</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">scalar equations</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">left Bregman asymptotically nonexpansive mapping</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">basin of attraction</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">maximal monotone operator</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Newton–HSS method</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">general means</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Steffensen’s method</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">derivative-free method</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">simple roots</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">fixed point problem</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">split variational inclusion problem</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">weighted-Newton method</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">ball radius of convergence</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Traub–Steffensen method</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Newton’s method</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">fractional derivative</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Banach space</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">multiple-root solvers</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">uniformly convex and uniformly smooth Banach space</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Fréchet-derivative</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">optimal convergence</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Optimal iterative methods</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">basins of attraction</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">nonlinear equation</subfield></datafield><datafield tag="776" ind1=" " ind2=" "><subfield code="z">3-03921-666-X</subfield></datafield><datafield tag="906" ind1=" " ind2=" "><subfield code="a">BOOK</subfield></datafield><datafield tag="ADM" ind1=" " ind2=" "><subfield code="b">2023-12-15 05:54:12 Europe/Vienna</subfield><subfield code="f">system</subfield><subfield code="c">marc21</subfield><subfield code="a">2020-02-01 22:26:53 Europe/Vienna</subfield><subfield code="g">false</subfield></datafield><datafield tag="AVE" ind1=" " ind2=" "><subfield code="i">DOAB Directory of Open Access Books</subfield><subfield code="P">DOAB Directory of Open Access Books</subfield><subfield code="x">https://eu02.alma.exlibrisgroup.com/view/uresolver/43ACC_OEAW/openurl?u.ignore_date_coverage=true&portfolio_pid=5338820800004498&Force_direct=true</subfield><subfield code="Z">5338820800004498</subfield><subfield code="b">Available</subfield><subfield code="8">5338820800004498</subfield></datafield></record></collection> |