Dr. John J. Buoni

Professor of Mathematics & Statistics

Earned Degrees

Ph.D. in Mathematics, University of Pittsburgh
M.S. in Mathematics, University of Pittsburgh
B.S. in Mathematics, St. Joseph's College (PA)

Academic and Professional Experience

Acting Chair - Deparment of Mathematics and Statistics, 2004 - 2005
Chair - Deparment of Mathematics and Statistics, 1993-2000
Visited - Institute for Applied Computations, North Carolina State University, Winter 1988
Visited - Institute of Computational Mathematics, Kent State University, Fall 1987
Professor, Youngstown State University, 1980-present

Master's Thesis Directed

Raymond Flannery, "Numerical Solution of Initial-Value Problems for Ordinary Differential Equations using Taylor Series with Recurrisively Defined Constants" - 1986
David L. Kweder, "A study of the Feasibility of Ada on a Simulation Language" - 1992
Mark Tronzo, "Spectral Inclusion Sets for Matrices"-2005. ( co-directed with Professor Angela Spalsbury).
Ward Shaffer, "On the Cyclic Reduction of Tridiagonal Systems" - 2005.

Recent University Service

Mathematics M.S. Program Coordinator 1990-1993
Graduate Council 1991-1994
Chair, Graduate Council 1992-1993
Chair, Graduate Membership 1993-1994
Department Senator 1994-1996

Summer Positions

1979-81 Summer Research Associate, Kent State University
1983 U.S. Army Research Faculty Fellow, Ada Program, Ft. Monmouth, NJ

Honors and Awards

1978 YSU Distinguished Professor Recipient
1978-79 YSU Faculty Improvement Leave Recipient
1983-84 YSU Research Professor-Recipient
1986-87 YSU Resarch Professor Recipient
1986 YSU Distinguished Professor Recipient
1987-88 YSU Faculty Improvement Leave Recipient
1993-94 YSU Research Professor Recipent
1996 YSU Watson Award Recipient

Professional Service

1976 - present Reviewer for Mathematical Reviews
1982 - present Referee for "Glasnik Mathematic"
1983 - present Referee for "Linear Algebra & Applications"
1984 - present Referee for "SIAM Journal of Algebraic and Discrete Methods"
1984, SIAM, Secretary/Treasurer of Eastern Ohio-Western Pennsylvania temitem
1985, SIAM, President Eastern Ohio-Western Pennsylvania
1988 - present Referee for "SIAM Journal of Matrix Analysis"
1994 - present Referee for Parallel Computing
1996 - present Referee for International Conference Systems Science

Scholarly Activities

Publications

"Differentiability in Banach Algebra", American Mathematics Monthly Vol. 81 (1974), pp. 493- 495.
"A Trace Inequality for Functions of Hilbert-Schmidt Operators", Czech Math. Journal Vol. 25 (1975), pp. 4-7.
"Variation of Browder's Essential Spectrum", Proc. A.M.S. Vol. 48 (1975), pp. 140- 144.
"Ascent, Descent, Nullity and Defect of Products of Operators", (with J. D. Faires), Indiana Math. Journal Vol. 25 (1976), pp. 703-707.
"An Essential Spectral Mapping Theorem", Journal Math. Analysis and Appl. Vol. 55 (1976), pp. 333-338.
"Upper and Lower Fredholm Spectra", (with R. Harte and T. Wickstead) Proc. A.M.S. Vol. 66 1977), pp. 309-315.
"On the Joint Numerical Range", (with B. Wadwha), Pacific Journal of Mathematics Vol. 77 (1978), pp. 303-307.
"On the Generalized Calkin Algebra", (with A. Klein), Pacific Journal of Mathematics Vol. 80 (1979), pp. 9-12.
"Some remarks on the Generalized Calkin Algebra", (with A. Klein), Proceeding Conference on Operator Theory and Functional Analysis, Pitman, Vol. 38 (19i9), pp. 31-35.
"Theorems of Stein-Rosenberg Type", (with R. Varga), Numerical Mathematics, ISNM49, Birkhauser Verlag, (1979), pp. 65-75.
"Joint Browder Spectrum", (with A. Dash and B. Wadwha), Pacific Journal of Mathematics Vol. 92 (1981), pp. 96-101.
"Theorems of Stein-Rosenberg Type 11: Optimal Path", (with R. Varga), Elliptic Problem Solvers, Edited by M. H. Schultz, Academic Press (1981), pp. 231-240.
"Theorems of Stein-Rosenberg Type III: Singular Case", (with R. Varga and M. Neumann), Linear Algebra and Applications, Vol. 42 (1982), pp. 183-198.
"A Stein-Rosenberg Theorem for Rectangular Matrices", (with B. Subramanian), Linear Algebra and Applications, Vol. 48 (1983), pp. 177-190.
"Power Compactness on Banach Spaces", (with A. Klein, B. Scott, and B. Wadwha),, Indiana Math. Journal (1983), pp. 177-186.
"Power Compactness on Banach Spaces 11", (with A. Klein, B. Scott, and B. Wadhwa), Journal of Operator Theory and Integral Equations. Vol. 7 (1984) pp. 10-26.
"Ada Tasking and Numerical Analysis", Proceedings of the 2nd Annual Conference on Ada Technology, U.S. Army Center for Tactical Computer Systems, (1984), pp. 104-108.
"Teaching Ada from a Conceptual Approach", (with E.S. Santos), Proceedings of the 3rd Annual Conference on Ada Technology, U.S. Army Center for Tactical Computer Systems, (1985), pp. 14-18.
"Incomplete Factorization of Singular M-matrices", SIAM Journal of Algebraic and Discrete Mathematics, Vol. 7 (1986), pp. 193-198.
"Floating Point Computation using Ada's Model Number", (with R. Burden), Proceedings of the 4th Annual Conference on Ada Technology, U. S. Army Center for Tactical Computer Systems, (1986), pp. 38-41.
"On the Spectrum of Operator Matrices", (with D. Brown) Glasnik Mathematics Vol. 21(41),(1986), pp. 357-362.
"Stable LU Factorization of H-matrices", (with A. Ahac and D. Olesky) Linear Algebra and Applications, Vol. 99,(1988) pp. 97-110.
"A Stable Method for the Incomplete Factorization of H- matrices," Linear Algebra and Applications, Vol. 129, (1990), pp. 143-154.
"Extensions of SSOR," Linear Algebra and Applications, Vol. 139, (1990), pp. 67-87.
"Parallel LU decomposition of upper Hessenberg matrices on a shared memory mul- tiprocessor," (with Paul A. Farrell and Arden Ruttan), ed. C. Brezinski and U. Kulish, 1992, pp. 61-69.
"Algorithms for LU Decomposition on a Shared Memory Multiprocessor," (with Paul A. Farrell and Arden Ruttan), Journal Parallel Computing, 19(1993), pp. 925-937.

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