Numerical Range and Radii
Scientists, Journals, Countries, Grants
and some open problems
Some researchers with “Numerical
Range” & “Numerical Radii” interest
Natália Bebiano
(University of Coimbra)
D. R. Farenick;
(Universite de Montréal)
Marvin Marcus ;
Ivan Filippenko;
(University of California)
Che-Man Cheng
(University of Macau)
Chi-Kwong Li;
(College of William & Mary)
Chi Fai Chan;
(University of Hong Kong)
Michael E. Lundquist;
(Brigham Young University Provo)
Man-Duen Choi;
University of Toronto
Tin-Yau Tam;
(Auburn University)
Nam-Kiu Tsing;
The University of Hong Kong
Karl E. Gustafson;
University of Colorado at Boulder
J.L.M. van Dorsselaer;
University of Utrecht"
Yiu Tung Poon;
Iowa State University
Nung-Sing Sze;
University of Connecticut
The Hong Kong Polytechnic University
Duggirala K.M. Rao;
Colegio Bolivar at Cali
Karol Życzkowski;
(Uniwersytet Jagielloński)
Edward Poon;
Embry-Riddle Aeronautical University (Polska Akademia Nauk)
Eugene Gutkin;
(Center for Theoretical Physics)
(Nicolaus Copernicus University)
(Polish Academy of Sciences)
Wai-Shun Cheung;
University of Hong Kong
Nam-Kiu Tsing;
The University of Hong Kong
Xuhua (Roy) Liu;
The University of
Tennessee at Chattanooga
Mao-Ting Chien;
Soochow University
Ilya M. Spitkovsky;
College of William and Mary
Chandler Davis ;
University of Toronto
Michael Karow;
echnical University of Berlin
Hiroshi Nakazato;
Hirosaki University
Leiba Rodman;
Edmond A. Jonckheere;
College of William and Mary
University of Southern California
Naum Yakovlevich Krupnik;
University of Toronto
Hwa-Long Gau;
ational Central University Taiwan
Panayiotis J. Psarrakos;
National Technical University of Athens
Pei-Yuan Wu;
National Chiao Tung University Taiwan
Kuo-Zhong Wang;
National Chiao Tung University
Aikaterini Aretaki;
National Technical University of Athens
Chi-Tung Chang;
Feng Chia University
John Maroulas;
National Technical University of Athens
Hiroyuki Tomita;
Iowa State University
Peter Lancaster;
University of Calgary
Charles F. Dunkl;
University of Virginia
John A R Holbrook;
University of Guelph
Sean A. Clark;
The College of William and Mary
Mikio Nakahara;
Kinki University
Jennifer Mahle;
The College of William and Mary
David W. Kribs;
University of Guelph
Hugo J. Woerdeman;
Drexel University,
Michael Giesinger;
University of Guelph
Vladimír Müller;
Academy of Sciences of the
Czech Republic
Roman Drnovšek;
University of Ljubljana
Miguel Martín Suárez;
Universidad de Granada
Charles A. Akemann;
University of California,
Santa Barbara
Javier Merí de la Maza;
Universidad de Granada
Sever Silvestru Dragomir;
Victoria University Melbourne
Ángel Rodríguez-Palacios;
Universidad de Granada
Piotr Gawron;
Institute of Theoretical and
Applied Informatics of the
Polish Academy of Sciences
Zbigniew Puchała;
Jagiellonian University
Alexander Litvak;
University of Alberta
Anne Greenbaum;
University of Washington
Łukasz Skowronek;
Jagiellonian University
• Although, Scopus is not completely reliable
search engine(for example, you may find some
typos in its work, by concentrating on the
following slides!), we want to present some
statistics using it!
Scopus results of “numerical range” or
“numerical radii” in their abstract title,
abstract or keywords
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Article(873)
Conference Paper(104)
Article in Press(24)
Review(10)
Conference Review(1)
Editorial(1)
Erratum(1)
Letter(1)
Note(1)
Report(1)
Undefined(16)
• In the following slides, you see that in United
States and other top universities which
publish manuscripts in the field of “numerical
range”, there exist a few researchers which
play a key role; in the other hand, they rely on
a few scientists! And team work cycles in that
little group.
Author Name (Number of Scopus
results which have “numerical range”
or “numerical radii” in their abstract
title, abstract or keywords)
• Li, C.K.(71) Chien, M.T.(44) Nakazato, H.(39) Wu, P.Y.(30) Gau,
H.L.(28) Rodman, L.(22) Bebiano, N.(22) Poon, Y.T.(20) Psarrakos,
P.(17) Sze, N.S.(17) Spitkovsky, I.M.(17) Martin, M.(15) Cheung,
W.S.(13) Tam, T.Y.(13) Li, C.K.(12) Dragomir, S.S.(12) Psarrakos,
P.J.(12) Maroulas, J.(11) Goldberg, M.(10) Zyczkowski,
K.(9) Kittaneh, F.(9) Crouzeix, M.(9) Meri, J.(9) Tsatsomeros,
M.J.(9) Tretter, C.(9) Da Providencia, J.(9) Wang, K.Z.(8) Adam,
M.(8) Choi, M.D.(8) Hou, J.(8) Acosta, M.D.(7) Woerdeman,
H.J.(7) Salemi, A.(7) Liu, X.(7) Tsing, N.K.(7) Verma, R.U.(7) Kim,
S.G.(7) Li, H.(6) da Providencia, J.(6) Marcus, M.(6) Soares,
G.(6) Abdollahi, A.(6) Spitkovsky, I.(6) Okubo, K.(6) Straus,
E.G.(5) Tsai, M.C.(5) Tam, T.Y.(5) Ando, T.(5) Gawron, P.(5) Garcia,
D.(5) Afshin, H.R.(5) Lemos, R.(5) Choi, Y.S.(5) Agure, J.O.(5) Karaev,
M.T.(5) Maestre, M.(5) Aksoy, A.G.(5) Markus, A.(5) Mirman,
B.(5) Poon, E.(5) Puchala, Z.(5) Schneider, H.(5) Shebrawi, K.(5)
•
Owens, D.H.(4) Kribs, D.W.(4) Drury, S.W.(4) Palazoglu, A.(4) Langer, H.(4) Johnson,
C.R.(4) Mehrjoofard, M.A.(4) Du, H.K.(4) Nata, A.(4) Ren, F.G.(4) Langer,
M.(4) Gorkin, P.(4) Paul, K.(4) Paya, R.(4) Heydari, M.T.(4) Miszczak, J.A.(4) Seddik,
A.(4) Dritschel, M.A.(4) Holbrook, J.A.(4) Tadmor, E.(4) Tam, B.S.(4) Timoney,
R.M.(4) Boumazgour, M.(4) Wimmer, H.K.(4) Bekiroglu, H.(3) Cui, J.(3) Friedland,
S.(3) Fabiano, R.H.(3) Gutkin, E.(3) Khambanonda, T.(3) Matache, V.(3) Huang,
Y.(3) Jonckheere, E.A.(3) Palacios, A.R.(3) Patton, L.J.(3) Barraa, M.(3) Elomaa,
T.(3) Dunkl, C.F.(3) Al-Hawari, M.(3) Da Providencia, J.(3) Rousu, J.(3) Ruiz Galan,
M.(3) Drnovsek, R.(3) Sano, T.(3) Hou, J.C.(3) Lins, B.(3) Schulte-Herbruggen,
T.(3) Lancaster, P.(3) Fixman, U.(3) Semrl, P.(3) Farid, F.O.(3) Bonyo, J.O.(3) Spain,
P.G.(3) Dou, Y.N.(3) Hochstenbach, M.E.(3) He, K.(3) Hirzallah, O.(3) Delyon,
B.(3) Lewicki, G.(3) Glasser, L.A.(3) Fan, Y.(3) Tibken, B.(3) Helmke, U.(3) Dirr,
G.(3) Bag, S.(3) Guerrero, J.B.(3) Akemann, C.A.(3) Uhlig, F.(3) Chorianopoulos,
C.(3) Williams, J.P.(3) Beckermann, B.(3) Higham, N.J.(3) Glaser, S.J.(3) Yeh,
L.(3) Zaharia, A.(3) Zhang, S.(3) Finet, C.(3) Gregory, R.(2) Cassier, G.(2) Agrillo,
C.(2) Ahmad, F.(2) Henningson, D.S.(2) Ai, W.(2) Li, Y.C.(2) Chalendar, I.(2) Liu,
L.Y.(2) Kamp, Y.(2) Liu, X.(2) Alizadeh, R.(2) Chan, J.T.(2) Alshorman, A.A.(2) Markus,
A.S.(2) Marletta, M.(2) Anderson, J.(2) Deutsch, E.(2) Chang, C.T.(2) Undefined(1)
Affiliation Country (Number of Scopus
results of “numerical range” or
“numerical radii” in their abstract title,
abstract or keywords)
• United States(314), China(95), Taiwan(90), Japan(67), Germany(50),
Canada(48), United Kingdom(46), France(39), Hong Kong(38), Spain(38),
Greece(34), Portugal(26), Iran(24), Australia(23), Poland(18), Israel(17),
Jordan(17), India(15), South Korea(14), Italy(13), Netherlands(12), Russian
Federation(12), Finland(11), Slovenia(10), Austria(8), Morocco(8), Saudi
Arabia(8), Switzerland(8), Mexico(7), Belgium(6), Czech Republic(6) South
Africa(6), Ukraine(6), Kenya(5), Romania(5), Azerbaijan(4), Ireland(4),
Turkey(3), Lithuania(2), Algeria(2), Armenia(2), Singapore(2), Croatia(2),
Bulgaria(2), United Arab Emirates(2), Mongolia(2), New Zealand(2),
,Yemen(2), Macao(1), Brazil(1), Denmark(1), Russia(1), Chile(1),
Sweden(1), Egypt(1), Yugoslavia(1)
Universities (Number of Affiliation
results indexed in Scopus)
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The College of William and Mary(105)
Soochow University, Taipei(44)
Hirosaki University(38)
National Chiao Tung University Taiwan(36)
Ethniko Metsovio Polytechnico(31) (=National Technical University of Athens)
National Central University Taiwan(28)
The University of Hong Kong(26)
Universidade de Coimbra(22)
Iowa State University(20)
Auburn University(20)
Universidad de Granada, Facultad de Ciencias(20)
University of Toronto(15)
University of California, Santa Barbara(15)
Victoria University Melbourne(14)
Uniwersytet Jagiellonski w Krakowie(14)
Shaanxi Normal University(13)
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Hong Kong Polytechnic University(11)
Shandong University of Technology(11)
University of Guelph(10)
Universidad de Granada(10)
The University of Jordan(10)
Shanxi Normal University(9)
Shanxi University(8)
• Center for Theoretical Physics of the Polish Academy of Sciences(8)
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Julius-Maximilians-Universität Würzburg(8)
Kyungpook National University(8)
Taiyuan Li Gong Daxue(8)
Washington State University Pullman(8)
Massachusetts Institute of Technology(8)
University of California, Los Angeles(8)
University of Ljubljana(8)
Université des Sciences et Technologies de Lille(7)
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Technische Universitat Wien(7)
Indiana University(7)
Technion - Israel Institute of Technology(7)
University of Connecticut(7)
Ben-Gurion University of the Negev(7)
• Daneshgahe Shahid Bahonar-e-Kerman(7)
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Al-Balqa Applied University(7)
University of Waterloo(6)
Universidade de Tras-os-Montes e Alto Douro(6)
Hokkaido University of Education(6)
Universidade de Aveiro(6)
• Shiraz University(6)
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California Institute of Technology(6)
University of Wisconsin Madison(6)
Aalto University(6)
University of Calgary(5)
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McGill University(5)
Claremont McKenna College(5)
Technische Universität Berlin(5)
UC Davis(5)
University of Maryland(5)
Universität Bern(5)
Institute of Theoretical and Applied Informatics of the Polish Academy of Sciences(5)
Universite Claude Bernard Lyon 1(5)
University of Strathclyde(5)
Embry Riddle Aeronautical University, Prescott Campus(5)
University of Regina(5)
• Vali-e-Asr University of Rafsanjan(5)
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University of Glasgow(4)
Universitat de Valencia(4)
Chinese University of Hong Kong(4)
Indian Institute of Technology, Kharagpur(4)
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Universität Bremen(4)
Duke University(4)
Trinity College Dublin(4)
University of Leeds(4)
Polish Academy of Sciences(4)
Queen's University, Kingston(4)
Instituto Politcnico de Tomar(4)
Xi'an Jiaotong University(4)
Tamkang University(4)
University of Nebraska at Omaha(4)
Technische Universität München(4)
Bucknell University(4)
Texas A and M University(4)
Jadavpur University(4)
University of Central Florida(4)
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University of New South Wales(4)
University of Southern California(4)
Universite de Rennes 1(4)
Universidad Nacional Autónoma de México(4)
Hashemite University(4)
Maseno University(4)
Tongji University(4)
University of Central Greece(4)
Süleyman Demirel Üniversitesi(3)
Case Western Reserve University(3)
Ewha Womans University(3)
Universite Pierre et Marie Curie(3)
Helsingin Yliopisto(3)
University of Victoria(3)
Princeton University(3)
Ohio State University(3)
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University of Manchester(3)
Arizona State University(3)
Rice University(3)
Hampden-Sydney College(3)
University of Primorska(3)
Kanagawa University(3)
Suffolk University(3)
Wayne State University(3)
Universite de Mons-Hainaut(3)
CalPoly(3)
Hokkaido University(3)
University of Kansas Lawrence(3)
University of Washington Seattle(3)
Yamagata University(3)
University of Witwatersrand(3)
National Tsing Hua University(3)
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University of Virginia(3)
University of Macau(3)
Rensselaer Polytechnic Institute(3)
Tianjin University of Technology(3)
Ludwig-Maximilians-Universität München(3)
Chung Yuan Christian University(3)
Faculté des Sciences Semlalia(3)
University of Cambridge(3)
Pohang University of Science and Technology(3)
Hunan University(3)
Technische Universiteit Eindhoven(3)
State Engineering University of Armenia(3)
Taiyuan Normal University(2)
Chiba University(2)
Swarthmore College(2)
China Earthquake Administration(2)
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Northwestern Polytechnical University(2)
Swansea University(2)
King Abdulaziz University(2)
Tel Aviv University(2)
Hong Kong University of Science and Technology(2)
University of Dundee(2)
INP Grenoble(2)
Purdue University(2)
Washington University in St. Louis(2)
Politecnico di Torino(2)
Nara University of Education(2)
University of Florida(2)
City University of Hong Kong(2)
Indian Institute of Science(2)
State University of New York Geneseo(2)
University of Kentucky(2)
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Consiglio Nazionale delle Ricerche(2)
North China Electric Power University(2)
Uniwersytet Mikolaja Kopernika w Toruniu(2)
Bergische Universitat Wuppertal(2)
Beijing Normal University(2)
Washington and Lee University(2)
Cardiff University(2)
Southern Illinois University(2)
National University of Defense Technology(2)
Universite Paris-Sud XI(2)
Benemérita Universidad Autónoma de Puebla(2)
Tokyo University of Science(2)
University of Cincinnati(2)
Sam Houston State University(2)
University of Tokyo(2)
University of Alabama(2)
Huazhong University of Science and Technology(2)
Journal(Number of Scopus results)
(2012IF;5yrsIF)(ISSN)(MCQ2012)(MCQ rank)
Linear Algebra and Its Applications(209) (2012 IF: 0.968; 5Yrs IF: 1.032) (ISSN: 0024-3795)
Linear and Multilinear Algebra (98) (2012 IF: 0.677; 5yrs IF: 0.696) (ISSN: 0308-1087)
Journal of Mathematical Analysis and Applications (46) (2012 IF: 1.050; 5Yrs IF: 1.259)(ISSN: 0022-247X)
Proceedings of the American Mathematical Society (25) (2012 IF: 0.609; 5Yrs IF: 0.649) (ISSN: 00029939)
Integral Equations and Operator Theory (22) (2012 IF: 0.713; 5Yrs IF: 0.688) (ISSN: 0378-620X)
Electronic Journal of Linear Algebra (19) (2012IF: 0.667; 5Yrs IF:0.779) (ISSN:1537-9582)
Journal of Functional Analysis (17) (2012IF: 1.252; 5Yrs IF: 1.333) (ISSN: 0022-1236)
Studia Mathematica (16) (2012IF: 0.549; 5Yrs IF: 0.672) (ISSN: 0039-3223)
Operators and Matrices (13) (2012IF: 0.529; 5Yrs IF: 0.598) (ISSN: 1846-3886)
SIAM Journal on Matrix Analysis and Applications (12) (2012IF: 1.342; 5Yrs IF: 2.203)
(ISSN: 0895-4798) (MCQ2012: 1.45)(MCQ rank: 47)
Applied Mathematics Letters (11) (2012IF: 1.501; 5Yrs IF: 1.374) (ISSN: 0893-9659)
Journal of Operator Theory (11) (2012IF: 0.565; 5Yrs IF: 0.615) (ISSN: 0379-4024)
International Journal of Mathematical Analysis (9) (‫)نشریه نامعتبر از نظر وزارت علوم‬
Applied Mathematics and Computation (8) (2012IF: 1.349; 5Yrs IF: 1.454) (ISSN: 0096-3003)
Rocky Mountain Journal of Mathematics (8) (2012IF: 0.389; 5Yrs IF: 0.334) (ISSN:0035-7596)
Canadian Mathematical Bulletin(7) (2012IF: 0.217; 5YrsIF:0.346) (ISSN: 0008-4395)
Taiwanese Journal of Mathematics(7) (2012IF: 0.670; 5YrsIF:0.654) (ISSN: 1027-5487)
Fangzhi Gaoxiao Jichukexue Xuebao (6)
Numerical Functional Analysis and Optimization (6) (2012IF: 0.500; 5YrsIF:0.671) (ISSN: 0163-0563)
SIAM Journal on Numerical Analysis (6) (2012IF: 1.484; 5YrsIF:2.157) (ISSN: 0036-1429)
Journal of Computational and Applied Mathematics (5) (2012IF: 0.989; 5YrsIF:1.193) (ISSN:0377-0427)
Abstract and Applied Analysis (5) (2012IF: 1.102; 5YrsIF:1.183) (ISSN:1085-3375)
Archiv Der Mathematik (5) (2012IF: 0.376; 5YrsIF:0.443) (ISSN:0003-889X)
Journal of Inequalities and Applications (5) (2012IF: 0.822; 5YrsIF:0.866) (ISSN:1029-242X)
Rendiconti Del Circolo Matematico Di Palermo (5)
International Journal of Mathematics and Mathematical Sciences (4)
Journal of the Australian Mathematical Society (4) (2012IF: 0.445; 5YrsIF:0.486) (ISSN:1446-7887)
Positivity(4) (2012IF: 0.295; 5YrsIF:0.431) (ISSN:1385-1292)
Aequationes Mathematicae (4) (2012IF: 0.422; 5YrsIF:-) (ISSN:0001-9054)
Israel Journal of Mathematics (4) (2012IF: 0.646; 5YrsIF:0.750) (ISSN:0021-2172)
SIAM Journal on Scientific Computing (4) (2012IF: 1.949; 5YrsIF:2.233) (ISSN:1064-8275)
Journal of Physics A Mathematical and Theoretical (3) (2012IF: 1.766; 5YrsIF:1.514) (ISSN:1751-8113)
Journal of Soviet Mathematics (3) (ISSN:0090-4104)
Journal of the Korean Mathematical Society (3) (2012IF: 0.323; 5YrsIF:0.372) (ISSN:0304-9914)
Lecture Notes in Computer Science Including Subseries Lecture Notes in Artificial Intelligence and
Lecture Notes in Bioinformatics(3)
Manuscripta Mathematica(3)
Glasgow Mathematical Journal(3)
Mathematical Inequalities and Applications(3)
Numerische Mathematik(3)
Proceedings IEEE International Symposium on Circuits and Systems(3)
Bulletin of the Australian Mathematical Society(3)
Proceedings of SPIE the International Society for Optical Engineering(3)
Proceedings of the Edinburgh Mathematical Society(3)
Publications of the Research Institute for Mathematical Sciences(3)
IMA Journal of Numerical Analysis(3)
Canadian Journal of Mathematics(3)
SAE Technical Papers(3)
Transactions of the American Mathematical Society(3)
World Academy of Science Engineering and Technology(3)
Indiana University Mathematics Journal(3)
Applied Numerical Mathematics(3)
Complex Analysis and Operator Theory(3)
Journal D Analyse Mathematique(3)
International Journal of Pure and Applied Mathematics(3)
Journal of Mathematical Physics(3)
Zeitschrift Fur Analysis Und Ihre Anwendung(3)
2009 Etp Iita World Congress in Applied Computing Computer Science and Computer Engineering ACC
2009(2)
Functional Analysis and Its Applications(2)
IEEE Transactions on Information Theory(2)
International Journal of Control(2)
Czechoslovak Mathematical Journal(2)
Acta Mathematica(2) (2012IF:2.714 5YrsIF:3.650)(ISSN: 0001-5962) (MCQ:3.55, MCQ rank: 1)
Acta Mathematica Hungarica(2)
Acta Mathematica Scientia(2)
Guangzi Xuebao Acta Photonica Sinica(2)
Acta Polytechnica Scandinavica Electrical Engineering(2)
Acta Scientiarum Mathematicarum(2)
Advanced Materials Research(2)
Journal of Approximation Theory(2)
Central European Journal of Mathematics(2)
Mathematische Annalen(2)
Memoirs of the American Mathematical Society(2)
Nonlinear Analysis Theory Methods and Applications(2)
International Journal of Systems Science(2)
Computers and Mathematics with Applications(2)
Open Systems and Information Dynamics(2)
Computers and Chemical Engineering(2)
Pacific Journal of Mathematics(2)
Physical Review B Condensed Matter and Materials Physics(2)
Zhongbei Daxue Xuebao Ziran Kexue Ban Journal of North University of China Natural Science Edition(2)
IEEE Transactions on Automatic Control(2)
Proceedings 2009 2nd IEEE International Conference on Computer Science and Information Technology
Iccsit 2009(2)
Proceedings 2009 Asia Pacific Conference on Information Processing Apcip 2009(2)
Asian European Journal of Mathematics(2)
Banach Journal of Mathematical Analysis(2)
Lithuanian Mathematical Journal(2)
Comptes Rendus Mathematique(2)
Journal of the London Mathematical Society(2)
Proceedings of the IEEE Conference on Decision and Control(2)
Proceedings of the IEEE International Conference on Control Applications(2)
Proyecciones(2)
IEEE Transactions on Circuits and Systems(2)
Quantum Information Processing(2)
Quantum Information and Computation(2) (2012IF: 1.646; 5YrsIF:2.027) (ISSN:1533-7146)
Quarterly Journal of Mathematics(2)
Electronic Transactions on Numerical Analysis(2)
Journal of Physics A Mathematical and General(2)
Mathematical Notes(2)
SIAM Journal on Control and Optimization(2)
Communications on Pure and Applied Mathematics (2) (2012IF: 3.337; 5YrsIF:3.253) (ISSN:0010-3640)
(MCQ2012: 2.57)(MCQ rank: 6)
International Geoscience and Remote Sensing Symposium IGARSS(2)
Chinese Science Bulletin(2)
Science of the Total Environment(2)
Atti Della Accademia Nazionale Dei Lincei Classe Di Scienze Fisiche Matematiche E Naturali Rendiconti
Lincei Matematica E Applicazioni(2)
Systems and Control Letters(2)
Aip Conference Proceedings(2)
Mathematical Physics Analysis and Geometry(2)
Water Environment Research(2)
Mathematics of Operations Research(2)
Proceedings IEEE International Conference on Data Mining Icdm(2)
Conference Record International Conference on Communications(1)
Conference Record of the Asilomar Conference on Signals Systems and Computers(1)
Cybernetics(1)
Data Mining and Knowledge Discovery(1)
Dianli Xitong Zidonghua Automation of Electric Power Systems(1)
Dianzi Yu Xinxi Xuebao Journal of Electronics and Information Technology(1)
Digest of Technical Papers IEEE International Solid State Circuits Conference(1)
Doboku Gakkai Ronbun Hokokushu(1)
Doklady Akademii Nauk(1)
Doklady Mathematics(1)
Earth Science Reviews(1)
Earthquake(1)
Educational Studies in Mathematics(1)
Electric Power Systems Research(1)
Electronic Products Garden City New York(1)
Engineering Applications of Artificial Intelligence(1)
Environmental Science and Technology(1)
Environmental Toxicology and Chemistry(1)
European Journal of Oncology Nursing(1)
European Journal of Scientific Research(1)
Gaodianya Jishu High Voltage Engineering(1)
General Relativity and Gravitation(1)
Gongcheng Lixue Engineering Mechanics(1)
Guofang Keji Daxue Xuebao Journal of National University of Defense Technology(1)
Hospital and Community Psychiatry(1)
Huagong Xuebao Ciesc Journal(1)
ICASSP IEEE International Conference on Acoustics Speech and Signal Processing Proceedings(1)
IEE Conference Publication(1)
IEE Proceedings Circuits Devices and Systems(1)
IEE Proceedings D Control Theory and Applications(1)
IEE Proceedings Part F Communications Radar and Signal Processing(1)
IEEE Engineering in Medicine and Biology Society Annual Conference(1)
IEEE International Conference on Fuzzy Systems(1)
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IEEE Transactions on Biomedical Engineering(1)
IEEE Transactions on Neural Networks(1)
Icctd 2009 2009 International Conference on Computer Technology and Development(1)
Informatik Aktuell(1)
Intelligent Engineering Systems Through Artificial Neural Networks(1)
International Journal of Acoustics and Vibrations(1)
International Journal of Applied Mathematics and Statistics(1)
International Journal of Cancer Research and Prevention(1)
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• In the following slides, we try to present some
grants
National Science Foundation
• Collaborative Research: Mathematical
Aspects of Quantum Information Science
Start Date:September 15, 2010
Expires:August 31, 2014 (Estimated)
Awarded Amount to Date:$149,999.00
Investigator(s):Chi-Kwong Li ckli@math.wm.edu (Principal Investigator)
Sponsor:College of William and Mary
Office of Sponsored Programs
Williamsburg, VA 23187-8795 (757)221-3966
National Science Foundation
• CSUMS: Theory, techniques, and research in
computational mathematics
Start Date:September 15, 2007
Expires:August 31, 2013 (Estimated)
Awarded Amount to Date:$848,882.00
Investigator(s):Chi-Kwong Li ckli@math.wm.edu (Principal Investigator)
Junping Shi (Co-Principal Investigator)
Robert Lewis (Co-Principal Investigator)
Virginia Torczon (Former Co-Principal Investigator)
Andreas Stathopoulos (Former Co-Principal Investigator)
Sponsor:College of William and Mary
Office of Sponsored Programs
Williamsburg, VA 23187-8795 (757)221-3966
Natural Sciences and Engineering
Research Council of Canada
2013 Research Grants Competition - Results by
Evaluation Group
Mathematics and Statistics
Applicant Name
Kribs, David DW
Department
Mathematics and Statistics
Institution
Guelph
Program
RGPIN
Title
Operator Structures and Methods in
Quantum Information
Term Awarded Amount
5
$23,000.00
Researcher
Kribs, David
Discovery Accelerator Supplements Program
2008 Competition Results
Research Title
Department
Institution
Mathematical
synthesis of
Department of
application and
Mathematics and
University of Guelph
theory in quantum Statistics
error correction
Ontario Early Researcher Award
• Experimental prototypes of the quantum mechanical
computer have already been built, and it is only a
matter of time before they will process billions of
calculations simultaneously. These amazing
possibilities face challenges including “errors” that
disrupt quantum systems as they evolve in time. Dr.
David W. Kribs and a team at the University of Guelph
will use a mathematical approach to find new
techniques for error correction. Since their work is
interdisciplinary, it will offer opportunities to apply
tools from physics and computer science to the
problems.
• Total Project Costs: $190,000
Numerical range
W  A    x* Ax : x  C n , x* x  1 ,
Joint numerical range
W  A1 ,
, Am  
 x A x,
*
1

, x* Am x  : x* x  1, x  C n .
Polynomial numerical hull
V
k
 A 
a :  a,
  A  aI  ,
, a   conv W
k
,  A  aI 
k

Rank-k numerical range
 k  A   a : U  M n ,k , s.t., U *U  I k ,U * AU  aI k 
Joint rank-k numerical range
 k  A1 ,
 a1 ,
, Am  
, am  : U  M n ,k j  1,
, m , s.t., U *U  I k ,U * A jU  a j I k 
Open problems
1. Compute the joint higher-rank numerical range for an
arbitrary Pauli channel.  Kr 09
2. Compute the joint higher-rank numerical range for
the class of randomized unitary channels, which are
channels with noise operators  Ai  given by scalar
multiples of unitary operators.  Kr 09
3. Compute the joint higher-rank numerical ranges for
channels with mutually commuting normal noise
operators  Ai  .  Kr 09
4. If A1 , A2 , A3 mutually commute and n  5, then
2  A1 , A2 , A3  is non-empty. for general A1 , A2 , A3  H n , we
only know that 2  A1 , A2 , A3  is non-empty if n  7. How
about n  5,6?  Kinki13
5. It would be interesting to determine the minimum n
(depending on m and k ) for which k  A1 , , Am  is nonempty, star-shaped, or convex.  Kinki13
Refrences
• [Kinki13], CHI-KWONG. “MATRIX TECHNIQUES
IN QUANTUM INFORMATION SCIENCE”,
Diversities in Quantum Computation and
Quantum Information, Kinki University Series
on Quantum Computing - Vol. 5, 2013
• [Kr09] Kribs, David W., et al. "Research
problems on numerical ranges in quantum
computing." Linear and Multilinear Algebra
57.5 (2009): 491-502.