Lee, Sang-Gu
Asso. Professor of   Mahematics Department,   SungKyunKwan University   (1398)_,

_{LAST　UPDATED　　　Feb. 2000}　

• Research Area  : Matrix Theory, Combinatorial matrix theory, Algebra etc.
• Education and Academic Experience
• Academic Activity
• Publications (Scholarly Papers, 논문)
• Papers Presented At Professional Meetings
• Grants, Awards, Honors, Prizes, etc., Professional Activities, Personal Information
•  Dr. Lee's Classrooms (Linear algebra, Fall-Open Cyber Univ. 98)
• (USU-math1100, Spring 99 )
• My Parents and Kids   and My wife Yoonmee Ham-Lee
• SKKU Math. Dept.
• USU Math. Dept.
• Willam & Mary Math Dept.
• Good Links in Math (Jour)
• 
   Korea Info. Links
   
  •  The Korean Math. Society
  •  Back to my Linear Algebra Lab
  •  Sign-nonsigularity Program etc (You can Download)

Wellcome to my homepage. Please

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　 My Family Pictures

　Research area and topics :

• (Major) Matrix Theory, Combinatorial and Qualitative Matrix Theory, Linear Algebra, Algebra etc
• (Minor) Web Based instruction-Math Education, High Technology in Mathematics etc

 Education and Academic Experience

Academic Experience

6. 　Visiting Associate Professor - Utah State Univ., UT, USA, Spring, 1999
5. 　Visiting Associate Professor - The College of William & Mary , VA, USA, Fall, 1998
4. 　Associate Professor - SungKyunKwan Univ. 1996.3 - present
3. 　Assistant Professor -SungKyunKwan Univ. 1992.3.- 1996.2
2. 　Instructor in Math - SungKyunKwan Univ. 1991-1992
1. 　Teaching Fellow in Math - Utah State Univ. 1989-1991

Academic Activity

13. 　S.K.K.U. Info. Center Advisory Com. , Mar.20 1998 - Feb. 28. 2000
12. 　KMS, Computational Mathematics Division Committee Member - Jan 1, 2000 - Dec. 31 2001
11. 　S.K.K.U. 　Units Evaluation Committee, 　May - July 1998
10. 　Open Cyber University. Dev. Com. , Mar. 1998 - Present
9. 　S.K.K.U. Scholarship committee , Sep. 97-Aug. 1999
8. 　S.K.K.U. Web Based Instruction Committee, Jan 1998- Jan 　1999
7. 　National College Entrance (SAT) Prob. Bank Committee, Aug.-Sep, 1997
6. 　National College Degree Qualification Exam. Committee (Basic Courses), 1997 and 1998
5. 　The Korean Math Society CS Committee, 1997. 1 - Present
4. 　S.K.K.U. Curriculum reform committee, Sep.-Dec. 1995
3. 　Refereed for J. of KMS, B. of KMS, Comm. of KMS, Linear & Multilinear Algebra
2. 　Member of National College Entrance (SAT) Examination Committee, Oct.-Nov., 1995, 1996 and 1999
1. 　National  Mathematics Olympiad Comm., KMS, 1993-1997, 1997-1999

• (교외 봉사:　열린사이버대학　 교과개발실무추진위원회위원, 국립교육평가원 수학능력시험출제위원,　대한수학회(KMS) 전산위원, 전산분과위원, 　수학올림피아드출제위원등)

  (교내 봉사: 성대단위기관평가위원, 정보통신원 자문위원, 장학위원, 교과과정위원등),
   

Publications (Scholarly Papers, 논문)"

52.     "The existence of *** ",          To appear in Jour of KSIAM. (2000)

51. Linear Operators Preserving Multivariate Majorization " (with L. Beasley), Linear Algebra and its Applications 304 141-159 (2000)

50.  "A Representation and Some Properties for $k$-Fibonacci Sequences" (with Jin-Soo Kim, Gwang-Yeon Lee), To appear in Missori Jour. of Math. Science (2000)

49. "ON THE SPECTRAL NORM AND EIGENVALUES OF $W_c$-COMPANION MATRICES" (with Jin-Soo Kim, Gwang-Yeon Lee and Seok-Zun Song), To appear in Int. Jour. of Appl. Math (2000)

48. "NONNEGATIVITY OF REDUCIBLE SIGN IDEMPOTENCE MATRICES" (with S.-W. Park), To appear in Korean Jour. of Comp. and Appl. Math (2000)

47. "A Hopf bifurcation of interfaces in a Drichlet problem"(with Y. Ham), Southwest Journal of Pure and Applied Mathematics Issue 2, December (1999) pp.47-60

46. "Linear Operators that preserve zero-term rank of Boolean matrices", (with L. Beasley and S.-Z. Song), Jour. of Korean Math Soc. V.36 No.6 1181-1190 (1999).

44. "The Binet Formula and Representations of $k$-generalized Fibonacci Numbers" (with G.-Y. Lee, J.-S. Kim, H.-K. Shin), To appear in Fibonacci Quarterly (2000) .

43. "The possible numbers of zeros in an orthogonal matrix " (with G.S. Cheon, C.R. Johnson, and E.J. Pribble), Elec. Jour. of Linear Algebra,V5, pp. 19-23, Feb. 1999 (http://math.technion.ac.il/iic/ela)
42. "Linear Operators Strongly Preserving Multivariate Majorization with T(I)" (with L. Beasley and Y.H. Lee), KyungPook Math. Jour. V. 39 No. 1, 191-194 (1999)
41. "Sign Nonsingularity and it's related algorithm for the determination of L-matrix" (with H.G. Seol and Y.H. Kim) To appear in J. of Nat. Sci. SKKU.
40. On a sign pattern and it's related algorithm for L-matrix " (with H.G. Seol and Y.H. Kim), Jour of KSIAM. V. 3 N0. 1, 43-53, 1999
32. "On an algorithm for the determination of L-matrix" (with H.G. Seol)　 Proc. Workshops in Pure Math. V. 16, part I (1997) pp.165-178.
31. "Linear Operators Strongly Preserving Multivariate Majorization " (with Y.H. Lee) Proc. Workshops in Pure Math. V. 17, part I (1997) pp.113-118.
30. "A characterization of Sign patterns with minimal semipositivity" (with H.K. Seol and S.W. Park), Comm. KMS (1998).
29. "Sign patterns with minimal semipositivity and inverse nonnegativity" (with H.K. Seol and S.W. Park),　 Proc. Workshops in Pure Math. V. 17, part I (1997) pp.155-164.
28. "Differential Operators that Preserve Differential Equations" (with S.Z.Song),　 J. of Nat. Sci. SungKyunKwan Univ. V.47 No.2 pp. 1-9 (1996)
26. "A Characterization of Strong Preservers on Multivariate Majorization", Proc. of InHa Symposium on Pure and appl. Math.,June , pp.17-30 　(1997)
25. "Linear Operators strongly preserving matrices whose sign-pattern require the Perron property, (With H.G.Seol and S.W.Park), Linear Algebra and its Applications V.269, No.1-3, pp.53-63 (1998)
24. "Linear operators that strongly preserves the sign-central matrices"(With S.Z.Song and G.Y.Lee), Bull. Korean Math. Society, V.34, No.1, pp.51-61 (1997).
23. "On the k-generalized Fibonacci Matrix Q_k" (with G.Y. Lee and H.G. Shin), Linear Algebra and Its Appl. V.251, pp.73-88 (1997).
22. "Multivariate Majorization strongly preserving linear operators on matrices"(with Y.H.Lee and L.B.Beasley), Proc. of Prague Mathematical Meeting, Czech Republic, pp.19-22 　(1996)
21. "Linear operators strongly preserving multivariate majorization"(with Y.H. Lee), J. of Nat. Sci. SungKyunKwan Univ. V.47 No.1 pp. 1-9 (1995)
20. "Linear Operators strongly preserving matrices whose sign-pattern require the Perron property" (with S.W. Park and H.G. Seol), Proc. Workshops in Pure Math. V. 16, part I , pp.213-220 (1996)
19. "Linear Transformations that preserve the Assignment II" (with L. Beasley and G.Y. Lee), Jour. Korean Math. Society, V.33 No.3, 527-539 (1996)
18. "For the positive definite sign pattern matrices" (with S.W. Park) J. of Nat. Sci. SungKyunKwan Univ. V.45 No.2 pp.63-68 (1994)
17. "For inverse sign-pattern matrices" (with S.W. Park, G.H. Kim) J. of Nat. Sci. SungKyunKwan Univ. V.46 No.1 pp.57-62 (1995)
16. "The Allowance of Idempotent of sign pattern matrices", (with S.W. Park), Comm. Korean Math. Soc. 10 (1995), No. 3, pp.561-573
15. "A Note on generalized Fibonacci number" (with G.Y. Lee), Fibonacci Quarterly V.33 (1995) 273-278.
14. "Column Ranks and Their Preservers of General Boolean Matrices" (with S.Z. Song), J. Korean Math. Soc. V.32 No.3, 531-540. (1995)
13. "Evaluation on the structure of expressways of Korea using transportation matrix" (with G.Y. Lee) J. of Nat. Sci.　　　　 SungKyunKwan Univ. V.45 No.1, 33-43. (1994)
12. "Linear Transformations that preserve the Assignment" (with L. Beasley and G.Y. Lee), Linear Algebra Its Appl., V.212/213, pp. 387-396. (1994)
11. "Linear p(X) = X preservers over general Boolean semirings" (with L. Beasley), J. Korean Math. Society, V. 31 No.3, 353-365. (1994)
10. "Linear Transformations that preserve the Assignment on nonnegative reals" (with G.Y. Lee), Proc. Workshops in Pure Math V. 13, part I , pp.137-146 (1993)
9. "Sensitivity analysis on Linear Programming algorithm", J. Nat. Sci. SungKyunKwan Univ. V.44, No.2, 47-55. (1993)
8. "A Linearization of a Free Boundary problem with the generalized Mckean kinetics" (with Y.M.Ham), J. of Nat. Sci. SungKyunKwan Univ. V.44 No. 2, 17-24.(1993)
7. "On a Question of Kostin" (with S.W.Park), J. of Nat. Sci. SungKyunKwan Univ. V.44 No.1, 71-74. (1993)
6. "Equivalent Factors in Gaussian Elimination and Conjugate direction Method" (with Y.H. Lee and Y.M. Ham), J. of Nat. Sci. SungKyunKwan Univ. V.44 No.1, 61-69.(1993)
5. "Linear operators strongly preserving r-cyclic matrices over semirings" (with L. Beasley), LINEAR AND MULTILINEAR ALGEBRA, V.35, 325-338. (1993)
4. "A Proof on a Simpler Construction of the Jordan Canonical Form", J. Nat. Sci. Sung Kyun Kwan Univ. V.43, No 1, 43-46. (1992)
3. "Linear operators strongly preserving r-potent matrices over semirings" (with L. Beasley), LINEAR ALGEBRA AND ITS APPL. V.162-164, 589-599. (1992)
2. "Linear operators strongly preserving polynomial equations over antinegative semirings ", Ph.D. Dissertation, Utah State University, 1991
1. "On the generalization of the Gershgorin theorem", M.S. thesis, Utah State University, 1987

　 　
　 Abstract and  Dvi or PDF file of  Original papers

***************************

(Preprints)

57. A proof of conjecture on strong preservers of multivariate majorization" (with L. Beasley),

56. (with E.-T. Kim)

55. (with J.-M. Yang)

54. (with K.-H. Chung)

53. "A construction of (0,1) matrices with permanents using binary representation of integers", (with H.-G. Seol)

58. "A Representation of a linear Recurrence Relations via Vector Recurrence Relations", (with Gwang-Yeon Lee, Jin-Soo Kim)

59. "Factorizations and eigenvalues of Fibonacci and symmetric Fibonacci matrices" (with Gwang-Yeon Lee and Jin-Soo Kim)

45. "Sign Idempotent matrices" (with L. Beasley), Preprint.

39. "Linear Algebra and our softwares" (with G.S.Cheon), 　 In preparation.
37. "Complex positive definite completion" (with H.G. Seol) In Prep.
36. "Sign symmetric P-matrix Completion" (with H.G. Seol), 　In Prep.
35. " Idempotence of (1, -1) matrices " (with L. Beasley and S.W. Park),
34. "Matrix Theory: It's Old days and Present," (with O.K.Kang), In prep.

Papers Presented At Professional Meetings

Conferences Attended at which a paper was presented: (학술대회발표)

41. YanBian University, Dec.1999

42. 99 KMS Fall meeting

43. 99 KMS Fall meeting

29. The 7th International Linear Algebra Society Conference, Madison, Wisconsin, June 1-7 1998."Sign pattern matrices and it's related algorithm for the determination of L-matrix" (with H.G. Seol)."
30. " Web Based Instruction of LA & ATLAST Project", 1998 KMS Fall meeting, 1998, 8. 27-29
31. "Algorithms for the determination of L-matrix", 1998 KMS Fall Meeting, 1998, 8. 27-29
32. Univ. of Seoul,  March 1998, 수학 교육과 연구에서 소프트웨어
33. Utah State University ,Oct.  15 1998,  Strong Preservers of Perron property.
34. The College of William & Mary, Nov. 21 1998, On a Fibonacci matrices.   1998
35. InHa University Symposium, A Characterization of Strong Preservers on  Multivariate Majorization, 1997. 6. 20.
36. Invited talk at Ajou University, Suwon, May 28, 1998
    "On Qualitative Matrix Theory"
37. Invited talk, International conference on Combinatorial Matrix Theory, "On the generalized Fibanacci Matrices", Changwon, Korea, Aug. 11-14, 1999
38. Combinatorial Matrix Theory Mini symposium, "Fibonacci sequences and matrices", Logan, UT, May 5-8, 1999
39. Colloquium talk, "Generalized Fibonacci sequences", The College of William & Mary, Williamsburg, VA, Nov. 21, 1998
40. Invited talk, "Perron property Preservers of Sign Pattern Matrices", Utah State University, Oct. 13, 1998

28. 중동고수학연구반초청강연, Nov. 15, 1997
    "행렬이론의 역사와우리학생의역할"
27. Fall meeting ofthe Korean Mathematical Society, Korea Univ., Seoul, Oct. 23-24, 1997
    "Introduction on Korean version of linear algebra practice program" (with H.G.Shin)
26. Fall meeting of the Korean Mathematical Society, Korea Univ., Seoul, Oct. 23-24, 1997
    "Idempotency on {1,-1}-matrices" (with S.W. Park)
25. DaeWoo PureMathematics Workshop, Ajou University, Suwon, July 8. 1997.
    "Linear preserver problems"
24. Regionalof the Korean Mathematical Society (Kyonggi-KangWon), InHa Univ., InChon, June 20-21, 1997
    "ATLAST Project : Education and Researches with Advanced Technique"
23. Invited talk at Coll.of Sci. University of Suwon, April 10, 1997.
    "Matrix Theory: It's Old days and Present,
22. Springmeeting of the Korean Mathematical Society, KyungHee Univ., Seoul,April 26, 1997
    "On an algorithm for the determination of L-matrix" (with H.K. Seol)
21. "MultivariateMajorization strongly preserving linear operators on matrices" (with Y.H.Lee and L.B.Beasley), July 8-12, 1996
    Prague Mathematical Conference 1996, Czech Republic
20. Fall meeting ofthe Korean Mathematical Society, Seoul Nat. Univ., Seoul,Oct. 26-27, 1996
    "Sign r-potent and sign-central matrices" (with G.Y. Lee)
19. Fall meeting of the Korean Mathematical Society, Seoul Nat. Univ., Seoul, Oct. 26-27, 1996
    "Linear operators strongly preserving multivariate majorization" (with Y.H. Lee)
18. International Workshopon Numerical Range and Numerical Radius, Hokkaido University, Sapporo, Hokkaido, Japan, Aug 5-10 1996.
    "Linear operators strongly preserving matrices whose sign-pattern require the Perron property."
17. DaeWooPure Mathematics Workshop, HanRim University, ChoonCheon,
    "Linear operators strongly preserving the sign require Perron property matrices."
16. Springmeeting of the Korean Mathematical Society, ChoongNam Nat. Univ., Taejon, April 27, 1996
    "Internet in Mathematics Research and Education"
15. Springmeeting of the Korean Mathematical Society, ChoongNam Nat. Univ., Taejon, April 27, 1996
    "Sign patterns with minimal semipositivity and inverse nonnegativity" (with H.K. Seol and S.W. Park)
14. Fall meeting of the Korean Mathematical Society, Pusan Nat. Univ., Pusan, Oct. 15-16, 1995
    "Sign Pattern Matrices". (with S.W. Park)
13. Operatortheory and Matrix theory Symposium, SungKyunKwan Univ. Suwon,June 13-14 1994,
    "Differential operator preservers" (with Y. M. Han)
12. Springmeeting of the Korean Mathematical Society, KAIST, Taejon, April, 1994,
    "Linear transformations that preserves Assignment II" (with G.Y. Lee)
11. Fall meeting of the Korean Mathematical Society, KyungPook Nat. Univ., Oct. 15-16, 1993
    "The Allowance of Idempotent of Sign Pattern Matrices". (with S.W. Park)
10. Fall meeting of the Korean Mathematical Society, KyungPook Nat. Univ., Oct. 15-16, 1993
    "On Generalized Fibonacci Numbers".
9. DaeWooPure Mathematics Workshop, Postech, Pohang, June 1993.
   "Linear transformations that preserves the Assignment on nonnegative matrices." (with G.Y. Lee)
8. DaeWooPure Mathematics Workshop, Postech, Pohang, June 1993.
   "Linear Algebra and Linear preserver problems"
7. Invitedtalk at BSRI of Cheju National University, April 1993.
   "On Linear preserver problems"
6. The third International Linear Algebra Society Conference, Pensacola, Florida,March 17-20 1993.
   "Linear transformation that preserve the assignment."
5. Springmeeting of the Korean Mathematical Society, Seoul National Univ., Apr. 24-25, 1992
   "Linear preservers over general Boolean semirings.
4. Fall meeting of the Korean Mathematical Society, KangWon Nat. Univ., Oct. 18-19, 1991
   "Linear Operators strongly preserving the polynomial equation p(X) = X over antinegative semirings.
3. Math.Asso. of America regional meeting, Rexburg, Idaho, April 1. 1991
   "Linear operators strongly preserving polynomials over semirings."
2. Math.Asso. of America regional meeting, Cedar City, Utah, April 6. 1990
   "Linear operators strongly preserving r-potent and r-cyclic matrices over semirings."
1. The 2nd International Linear Algebra Society Conference, Auburn, Alabama,March 1990.
   "Linear operators strongly preserving r-potent matrices over semirings."

Professional Memberships

• American Mathematical Society
• Matheamtical Association of America
• Society for Industrial and Applied Mathematics
• Korean Mathematical Society
• International Linear Algebra Society
• SIAM Special Interest Group on Linear Algebra

Grants, Awards, Honors, Prizes, Etc

• BK 21에 선정되었습니다-  (1999-2002) 우수한 대학원 석, 박사 학생을 모집합니다. 장학금 지원하며 많은 응모바랍니다.
• "Qualitative matrix theory", SungKyun Research Fund, SKKU, 1996. 12 - 1997. 12, \4,000,000 (S.G. Lee)
• "Analytic and Algebraic properties of operators", Basic Science Research Institute Program, Ministry of Education, Korea, Project no. BSRI-94-1420, 1994, 5.1-1995.4.30, \23,000,000 (PI: W.Y. Lee + 4)
• "Analytic and Algebraic properties of operators II", Basic Science Research Institute Program, Ministry of Education, Korea, Project no. BSRI-95-1420, 1995. 6.11-1996.6.10, \46,000,000 (PI: W.Y. Lee + 4)
• "Analytic and Algebraic properties of operators III" Basic Science Research Institute Program, Ministry of Education, Korea, Project no. BSRI-96-1420, 1996. 6.11-1997.6.10, \57,000,000, (PI: W.Y. Lee + 4)
• "Analytic and Algebraic properties of operators IV" Basic Science Research Institute Program, Ministry of Education, Korea, Project no. BSRI-97-1420 1997. 7.10-1998.7.11, \57,000,000, (PI: W.Y. Lee + 4)
• "Analytic and Algebraic properties of operators V" Basic Science Research Institute Program, Ministry of Education, Korea, Project no. BSRI-97-1420 1998. 11.1-1999.11.1, \50,000,000, (PI: W.Y. Lee + 4)
• Outstanding Students Awards, Math. Dept., Utah State University, 1988
• Rocky Mountain Math. Consortium Fellowship, 1987
• "일반적인 부울대수상에서 행렬계수들의 보존자", "1993년 7.1-1994.6.30: 학술진흥재단, 국제협력과제, 1000만원.(PI : 송석준, L. Beasley)
• "비음행렬의 영항계수와 부호행렬의 허용성에 관한 연구, 1995.  9.1-1997.8.31(2년): // 교육부, 핵심연구과제  //     , 1600만원(PI : 송석준, 이광연, 천기상)
• "우세화 다면체의 극점과 행렬의 영원소 보존성에 관한 연구", 1998.10.1.-1999.9.30. 학술진흥재단, 자유공모과제, 800만원, (PI: 송석준, 천기상)

Professional Activities

• Organizer of the 1998 　Combinatorial Matrix Theory Symposium, Sungkyunkwan univ. May 9-10 1998. 60 participants from 15 universities attended
• Co-organizer of the 1994 Operator and Matrix Theory Symposium, June 1994. 150 participants from 16 universities attended

Scholarly Articles 과연구보고서

10. 이상구, "선형대수학의 과거와현재" 성대신문논단, 1998 4.20

9. 이상구, 강옥기, 「행렬이론의 발전과정과 현재」, The Newsletter of the Korean Mathematical Society, V. 55. 20-27, 1997

8. 이상구, "접속과 해결" 성대신문, 돌물목,1997
7. 이상구, 「미래를살아갈학생들을위한수학교육」,성동수학, 창간호, pp.2-5, 중등수학교육연구회
6. 이상구외, 「97 대입수학능력시험(수학)」, 보고서, 국립교육 평가원,
5. 이상구외, 「96 대입수학능력시험(수학)」, 보고서, 국립교육 평가원,
4. 이상구, 「대한수학회의정보를세계와공유하자」,The Newsletter of the Korean Mathematical Society, V. 50. 11-15, 1996
3. 이상구, 「Internet and Korean Mathematical Society」,The Newsletter of the Korean Mathematical Society, V. 47. 26-34, 1996
2. 이상구외, "대한수학회HomePage 구성안 I, II", 대한수학회 전산위원회보고서,1997. 2., pp.1-35
1. 이상구외 4인, 「작용소의 해석적 및 대수적 성질 (I, II, III)」, 교육부 BSRI-1420 보고서, pp. 1-300

Teaching (학생 배출실적):

• Produced three Ph.D. student : Dr. HanGuk Seol (1998), Dr. Se-Won Park (1996), Dr. You-Ho Lee (1996)
• Produced six Master's students : Mr. EunTae Kim, Ms. JiYeon Hong. Mr. JinTae Kim (1999), Mr. You-Hyuk Kim (1998), Mr. Sang-Do Kim (1993), Mr. Chang-Min Hong (1995)
• Worked with 3 Post Doc's - Prof. G.Y. Lee, Prof. G.S. Cheon, Prof. S.W. Park,
• Present  3　Ph.D Students : JinSoo Kin, KyungHoon Chung, JungMo Yang
• Present  2　MS Student :  Hee-Jung Chae, Dug-Sun Kim, (YoungWhan Choi in the Army)　 　

Authored Books

1. Linear Algebra and Appl. (선형대수학과응용), 경문사(1998), 저서 이상구외3인

2. Mathematics : Form and Functions, 청음사 (In prep.).역저, 이상구외 3인

Personal Information

• Birthdate : 1958. 7. 4
• Birth　 place : Seoul, Korea
• Office Tel　  :  (82) 331-290-7025,           Fax　 : (82) 331-290-7033 　
• Home            :  서울시 서초구 반포동 1-1 한신 3차 38-701, (02)6248-7025
  
• e-mail    : sglee@yurim.skku.ac.kr
• Hobbies　 : 여행 (Youth Hostel Member since 1977), 사진, 테니스,

　 　
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