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Springer Proceedings in Mathematics & Statistics Ram N. Mohapatra Dipanwita Roy Chowdhury Debasis Giri Editors Mathematics and Computing ICMC, Haldia, India, January 2015 Springer Proceedings in Mathematics & Statistics Volume 139 Springer Proceedings in Mathematics & Statistics This book series features volumes composed of selected contributions from workshops and conferences in all areas of current research in mathematics and statistics, including operation research and optimization. In addition to an overall evaluation of the interest, scientific quality, and timeliness of each proposal at the hands of the publisher, individual contributions are all refereed to the high quality standards of leading journals in the field. Thus, this series provides the research community with well-edited, authoritative reports on developments in the most exciting areas of mathematical and statistical research today. More information about this series at http://www.springer.com/series/10533 Ram N. Mohapatra Dipanwita Roy Chowdhury (cid:129) Debasis Giri Editors Mathematics and Computing ICMC, Haldia, India, January 2015 123 Editors RamN.Mohapatra Debasis Giri Department ofMathematics Department ofComputer Science University of Central Florida andEngineering Orlando, FL HaldiaInstitute of Technology USA Haldia, West Bengal India Dipanwita RoyChowdhury Department ofComputer Science andEngineering Indian Institute of Technology Kharagpur Kharagpur, West Bengal India ISSN 2194-1009 ISSN 2194-1017 (electronic) SpringerProceedings in Mathematics& Statistics ISBN978-81-322-2451-8 ISBN978-81-322-2452-5 (eBook) DOI 10.1007/978-81-322-2452-5 LibraryofCongressControlNumber:2015939433 SpringerNewDelhiHeidelbergNewYorkDordrechtLondon ©SpringerIndia2015 Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpart of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission orinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilar methodologynowknownorhereafterdeveloped. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfrom therelevantprotectivelawsandregulationsandthereforefreeforgeneraluse. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authorsortheeditorsgiveawarranty,expressorimplied,withrespecttothematerialcontainedhereinor foranyerrorsoromissionsthatmayhavebeenmade. Printedonacid-freepaper Springer(India)Pvt.Ltd.ispartofSpringerScience+BusinessMedia(www.springer.com) Preface The Second International Conference on Mathematics and Computing (ICMC 2015)washeldattheHaldiaInstituteofTechnology,Haldia,fromJanuary5to10, 2015. Haldia is acity anda municipality inPurbaMedinipur inthe Indianstate of WestBengal,andHaldiaInstitute ofTechnologyisapremier institutionthatgives training to engineers and computer scientists. It has gained reputation through its institutional dedication to teaching and research. In response to the call for papers for ICMC 2015, a total of 69 papers were submitted for presentation and inclusion in the proceedings of the conference. Thesepaperswereevaluatedandrankedonthebasisoftheirsignificance,novelty, and technical quality by atleast two reviewers per paper. After a careful and blind refereeing process, 34 papers were selected for inclusion in the conference pro- ceedings. The papers cover current research in cryptography, abstract algebra, functional analysis, Pal and fractal approximation, fluid dynamics, fuzzy modeling and optimization, and statistics. ICMC 2015 saw eminent personalities both from Indiaandabroad(USA,France,Russia,Japan,Turkey,China,andIndonesia)who delivered invited addresses, workshop lectures, and tutorial talks. Speakers from Indiawererecognizedleadersfromgovernment,industry,andacademicinstitutions likeDefenseResearchandDevelopmentOrganization(DRDO),NewDelhi;Indian Institute of Sciences (IISc), Bangalore; Indian Statistical Institute (ISI), Kolkata; Indian Institute of Technology (IIT) Kharagpur; and IIT Madras. All of them are involvedinresearchdealing with thecurrentissues ofinterest related tothe theme of the conference. The conference hosted four tutorial talks by Prof. Peeyush Chandra (IIT Kanpur), Dr. Prasanta Kumar Srivastava (IIT Patna), Dr. Dhanonjoy Dey (DRDO, New Delhi), and Prof. Ram N. Mohapatra (University of Central Florida, USA). There were four workshops, ranging over 2 days by Prof. Ram N. Mohapatra,Prof.ManoranjanMaiti(VidyasagarUniversity),Prof.C.Pandurangan (IITMadras),andProf.AbhijitDas(IITKharagpur).Inadditiontothese,therewas onekeynotetalkbyProf.HeinrichBegehr(FreieUniversitatBerlin,Germany)and 11 invited talks by Prof. C.E Venimadhavan (IISc, Bangalore), Prof. Ekrem Savaş (Istanbul Commerce University, Turkey), Dr. P.K. Saxena (DRDO, New Delhi), Prof. Peeyush Chandra, Dr. Christina Boura(Versailles Saint-Quentin-en-Yvelines v vi Preface University, France), Prof. Birendra Nath Mandal (ISI, Kolkata), Dr. Mridul Nandi (ISI, Kolkata), Prof. G.P. Kapoor (IIT Kanpur), Prof. P.D. Srivastava (IIT Kharagpur),Prof.AbhijitDas(IITKharagpur),andProf.B.C.Tripathy(Instituteof Advanced Study in Science and Technology, India). A conference of this kind would not be possible to organize without the full supportfromdifferentpeopleacrossdifferentcommittees.Alllogisticsandgeneral organizationalaspectswerelookedafterbytheorganizingcommitteememberswho spenttheirtimeandenergyinmakingtheconferenceareality.Wealsothankallthe technical program committee members and external reviewers for thoroughly reviewing the papers submitted to the conference and sending their constructive suggestions within the deadlines. Our hearty thanks to Springer for agreeing to publish the proceedings. We are indebted to DRDO, Department of Electronics and Information Technology (Ministry of Communication and Information Technology, the Government of India), Indian Space Research Organisation (ISRO), University of Central Florida, The International Society for Analysis, its Applications and Computation(ISAAC),CryptologyResearchSocietyofIndia(CRSI),Scienceand Engineering Research Board (DST), and Haldia Institute of Technology for spon- soring/supporting the event. Their support has significantly helped in raising the profile of the conference. Last but not least, our sincere thanks go to all authors who submitted papers to ICMC2015andtoallspeakersandparticipants.Wesincerelyhopethatthereaders will find the proceedings stimulating and inspiring. Ram N. Mohapatra Dipanwita Roy Chowdhury Debasis Giri Committee Patron Lakshman Seth, Chairman, Haldia Institute of Technology, Haldia, India General Co-Chairs P.K. Saxena, SAG, DRDO, New Delhi, India P.D. Srivastava, IIT Kharagpur, India Workshop Chair Peeyush Chandra, IIT Kanpur, India Program Co-Chairs Ram N. Mohapatra, University of Central Florida, USA Dipanwita Roy Chowdhury, IIT Kharagpur, India Debasis Giri, Haldia Institute of Technology, India Program Committee Members PCMember Organization P.N.Agarwal IndianInstituteofTechnologyRoorkee,India RaviP.Agarwal TexasA&MUniversity,Kingsville,USA RafikulAlam IndianInstituteofTechnologyGuwahati,India RanaBarua IndianStatisticalInstituteKolkata,India HeinrichBegehr FreieUniversitatBerlin,Germany AmitavaBhattacharya TataInstituteofFundamentalResearch,Mumbai,India SomnathBhattacharyya IndianInstituteofTechnologyKharagpur,India JaydebBhaumik HaldiaInstituteofTechnology,India (continued) vii viii Committee PCMember Organization LeonidBokut SobolevInstituteofMathematics,Novosibirsk,Russia IoanaBoureanu AkamaiTechnologiesLimited,UK TeodorBulboaca Babes-BolyaiUniversity,Cluj-Napoca,Romania SuchetaChakrabarty DRDO,Delhi,India KalyanChakraborty Harish-ChandraResearchInstitute,Allahabad,India PeeyushChandra IndianInstituteofTechnologyKanpur,India JankaChlebikova UniversityofPortsmouth,UK DipanwitaRoy IndianInstituteofTechnologyKharagpur,India Chowdhury RifatColak FiratUniversity,Elazig,Turkey AbhijitDas IndianInstituteofTechnologyKharagpur,India AshokKumarDas IIITHyderabad,India KinkarDas SungkyunkwanUniversity,Korea ManikLalDas DAIICT,India B.K.Dass UniversityofDelhi,India BiswaDatta NorthernIllinoisUniversity,USA AnilkumarDevarapu AlbanyStateUniversity,GA,USA DhananjoyDey DRDO,Delhi,India JanaDittmann UniversityofMagdeburg,Germany PhilippeGaborit UniversityofLimoges,France SugataGangopadhyay IndianInstituteofTechnologyRoorkee,India PraveenGauravaram TataConsultancyServices,India DebasisGiri HaldiaInstituteofTechnology,Haldia721657,India NarendraGovil AuburnUniversity,Alabama,USA ShayGueron UniversityofHaifa,Israel IndivarGupta DRDO,Delhi,India U.C.Gupta IndianInstituteofTechnologyKharagpur,India Tian-XiaoHe IllinoisWeslyanUniversity,USA AoiHonda KyushuInstituteofTechnology,Japan DonHong MiddleTennesseeStateUniversity,USA HonggangHu UniversityofScienceandTechnologyofChina,China N.J.Hunag SichuanUniversity,Chengdu,RepublicofChina PeterJohnson AuburnUniversity,Alabama,USA MohanS.Kankanhalli NationalUniversityofSingapore,Singapore G.P.Kapoor IndianInstituteofTechnologyKanpur,India SandipKarmakar IIITGuwahati,India K.V.Krishna IndianInstituteofTechnology.Guwahati,India SomeshKumar IndianInstituteofTechnologyKharagpur,India ShantaLaishram IndianStatisticalInstitute,Delhi,India DuanLi TheChineseUniversityofHongKong,HongKong ShijunLiao ShanghaiJiaoTongUniversity,China (continued) Committee ix PCMember Organization JiqiangLu InstituteforInfocommResearch(I2R),Singapore ManoranjanMaiti VidyasagarUniversity,India SoumenMaity IISER,Pune,India BirendraNathManda IndianStatisticalInstituteKolkata,India KeithMartin RoyalHolloway,UniversityofLondon EdgarMartinez-Moro UniversityofValladolid,Spain MiodragMihaljevic SerbianAcademyofScienceandArts,Belgrade,Serbia P.R.Mishra DRDO,Delhi,India TapanMisra SpaceApplicationsCentre,ISRO,Ahmedabad,India RamN.Mohapatra UniversityofCentralFlorida,USA ShyamalMondal VidyasagarUniversity,India Debdeep IITKharagpur,India Mukhopadhyay M.Mursaleen AligarhMuslimUniversity,India SukumarNandi IndianInstituteofTechnologyGuwahati,India VilemNovak UniversityofOstrava,CzechRepublic S.Padhi BirlaInstituteofTechnologyMesra,India MadhumangalPal VidyasagarUniversity,India SaibalK.Pal DRDO,Delhi,India KolinPaul IndianInstituteofTechnologyDelhi,India SvetlaPetkova-Nikova KULeuven,ESAT-COSIC,Belgium RajeshPillai DRDO,Delhi,India V.SreeHariRao IDRBT,India BimalRoy IndianStatisticalInstitute,Kolkata,India KouichiSakurai KyushuUniversity,Fukuoka,Japan SumanSanyal MarshallUniversity,WestVirginia SantanuSarkar ChennaiMathematicalInstitute,India P.K.Saxena DRDO,Delhi,India G.P.RajaSekhar IndianInstituteofTechnologyKharagpur,India S.SamarendraSingh ManipurUniversity,India SeongHanShin NationalInstituteofAdvancedIndustrialScienceandTechnology, Japan P.D.Srivastava IndianInstituteofTechnologyKharagpur,India S.Sundar IndianInstituteofTechnologyMadras,India PaminiThangarajah MountRoyalUniversity,Calgary,Alberta,Canada P.Vellaisamy IndianInstituteofTechnologyBombay,India C.E.VeniMadhavan IndianInstituteofScience,Bangalore,India RamU.Verma TexasA&MUniversity-Kingsville,USA V.Vetrivel IndianInstituteofTechnologyMadras,India KonstantinVolkov KingstonUniversity,UK BixiangWang NewMexicoInstituteofMiningandTechnology,USA YaoZhao BeijingJiaoTongUniversity,China

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