Novel orthogonalization and biorthogonalization algorithms

Towards multistate multiconfiguration perturbation theory

Verfasser / Beitragende:
[Zsuzsanna Tóth, Péter Nagy, Péter Jeszenszki, Ágnes Szabados]
Ort, Verlag, Jahr:
2015
Enthalten in:
Theoretical Chemistry Accounts, 134/8(2015-08-01), 1-6
Format:
Artikel (online)
ID: 605488088
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024 7 0 |a 10.1007/s00214-015-1703-x  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s00214-015-1703-x 
245 0 0 |a Novel orthogonalization and biorthogonalization algorithms  |h [Elektronische Daten]  |b Towards multistate multiconfiguration perturbation theory  |c [Zsuzsanna Tóth, Péter Nagy, Péter Jeszenszki, Ágnes Szabados] 
520 3 |a Orthogonalization with the prerequisite of keeping several vectors fixed is examined. Explicit formulae are derived both for orthogonal and biorthogonal vector sets. Calculation of the inverse or square root of the entire overlap matrix is eliminated, allowing computational time reduction. In this special situation, it is found sufficient to evaluate the functions of matrices of the dimension matching the number of fixed vectors. The (bi)orthogonal sets find direct application in extending multiconfigurational perturbation theory to deal with multiple reference vectors. 
540 |a Springer-Verlag Berlin Heidelberg, 2015 
690 7 |a Overlap  |2 nationallicence 
690 7 |a Orthogonalization  |2 nationallicence 
690 7 |a Biorthogonal sets  |2 nationallicence 
690 7 |a Multiconfiguration perturbation theory  |2 nationallicence 
690 7 |a Multistate theory  |2 nationallicence 
700 1 |a Tóth  |D Zsuzsanna  |u Laboratory of Theoretical Chemistry, Eötvös University, POB 32, 1518, Budapest, Hungary  |4 aut 
700 1 |a Nagy  |D Péter  |u MTA-BME Lendület Quantum Chemistry Research Group, Department of Physical Chemistry and Materials Science, Budapest University of Technology and Economics, POB 91, 1521, Budapest, Hungary  |4 aut 
700 1 |a Jeszenszki  |D Péter  |u Laboratory of Theoretical Chemistry, Eötvös University, POB 32, 1518, Budapest, Hungary  |4 aut 
700 1 |a Szabados  |D Ágnes  |u Laboratory of Theoretical Chemistry, Eötvös University, POB 32, 1518, Budapest, Hungary  |4 aut 
773 0 |t Theoretical Chemistry Accounts  |d Springer Berlin Heidelberg  |g 134/8(2015-08-01), 1-6  |x 1432-881X  |q 134:8<1  |1 2015  |2 134  |o 214 
856 4 0 |u https://doi.org/10.1007/s00214-015-1703-x  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Tóth  |D Zsuzsanna  |u Laboratory of Theoretical Chemistry, Eötvös University, POB 32, 1518, Budapest, Hungary  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Nagy  |D Péter  |u MTA-BME Lendület Quantum Chemistry Research Group, Department of Physical Chemistry and Materials Science, Budapest University of Technology and Economics, POB 91, 1521, Budapest, Hungary  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Jeszenszki  |D Péter  |u Laboratory of Theoretical Chemistry, Eötvös University, POB 32, 1518, Budapest, Hungary  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Szabados  |D Ágnes  |u Laboratory of Theoretical Chemistry, Eötvös University, POB 32, 1518, Budapest, Hungary  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Theoretical Chemistry Accounts  |d Springer Berlin Heidelberg  |g 134/8(2015-08-01), 1-6  |x 1432-881X  |q 134:8<1  |1 2015  |2 134  |o 214