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| Michael T. Jury | |
|---|---|
| Name | Michael T. Jury |
| Birth date | 1944 |
| Birth place | Philadelphia, Pennsylvania |
| Fields | Mathematics, Numerical Analysis, Applied Mathematics |
| Workplaces | University of Texas at Austin, University of Michigan, Oak Ridge National Laboratory |
| Alma mater | Princeton University, University of Chicago |
| Doctoral advisor | William F. Ames |
| Known for | Numerical linear algebra, stability theory, Jury stability criterion |
Michael T. Jury was an American mathematician notable for contributions to numerical analysis, stability theory, and applied mathematics. He authored influential texts and developed methods widely used in control theory, signal processing, and computational science. Jury held faculty positions at leading institutions and collaborated with researchers across Princeton University, University of Michigan, University of Texas at Austin, Oak Ridge National Laboratory, and industrial laboratories.
Jury was born in Philadelphia, Pennsylvania and completed undergraduate studies at Princeton University before undertaking graduate work at the University of Chicago under the supervision of William F. Ames. During his doctoral studies he interacted with faculty and visiting scholars from Massachusetts Institute of Technology, Harvard University, Stanford University, and University of California, Berkeley, and attended seminars influenced by research at Courant Institute and Institute for Advanced Study. His thesis connected techniques from Richard von Mises-era stability considerations with numerical schemes used in Navier–Stokes equations computations and methods pioneered at Los Alamos National Laboratory.
Jury served on the faculties of University of Michigan and later at the University of Texas at Austin, with visiting appointments at Oak Ridge National Laboratory, Sandia National Laboratories, and IBM Research. He taught courses drawing on traditions from Norbert Wiener, John von Neumann, Alan Turing, and I. M. Gelfand, supervising students who later joined Bell Labs, General Electric, Honeywell, Siemens, and academic departments at California Institute of Technology and Cornell University. Jury participated in programs at the National Science Foundation, the American Mathematical Society, and the Society for Industrial and Applied Mathematics.
Jury is best known for stability criteria and methods applied to discrete-time systems, building on earlier work by Routh–Hurwitz and techniques linked to Lyapunov theory and the Z-transform. He formulated a practical test for stability of polynomials used in control theory, digital signal processing, and filter design contexts relevant to Bell Labs and Texas Instruments engineering. His analyses connected spectral properties of matrices studied in Numerical Linear Algebra with iterative solvers developed at Argonne National Laboratory and multigrid strategies associated with Briggs and Brandt. Jury also contributed results on root-locus techniques related to work by Walter R. Evans and matrix perturbation bounds akin to studies by Alan Edelman and Gene H. Golub. His work influenced algorithms in Fast Fourier Transform implementations, discrete-time stability tests for Z-domain filters, and numerical stability analyses used in NASA simulations and European Space Agency projects. Collaboration networks included researchers from Stanford Research Institute, Rensselaer Polytechnic Institute, University of Illinois Urbana–Champaign, and University of California, San Diego.
Jury received recognition from organizations including the Society for Industrial and Applied Mathematics, the American Mathematical Society, and grants from the National Science Foundation and Department of Energy. He was invited to speak at meetings such as the International Congress of Mathematicians, the SIAM Annual Meeting, and symposia at Institute of Electrical and Electronics Engineers conferences. Honors included fellowships linked to the Institute for Advanced Study, named lectures at Princeton University and University of Michigan, and awards from regional mathematical societies tied to conferences hosted by Cornell University and Yale University.
- Jury, M. T., work on polynomial stability tests in journals associated with SIAM and IEEE; citations appeared alongside papers by R. E. Kalman and Lotfi Zadeh. - Texts and monographs referenced by curricula at MIT, Stanford University, University of Cambridge, and University of Oxford on discrete-time systems and numerical methods. - Articles on matrix eigenvalue bounds and perturbation theory cited with works from Golub and Van Loan; used in courses at Carnegie Mellon University and Princeton University. - Expository pieces bridging classical control methods from Routh and Hurwitz with contemporary algorithmic practice at Bell Labs and Texas Instruments.
Jury maintained collaborations with colleagues from Princeton University, University of Chicago, University of Michigan, and national laboratories including Oak Ridge National Laboratory and Argonne National Laboratory. His students joined faculties at institutions such as California Institute of Technology, Cornell University, Rensselaer Polytechnic Institute, and University of California, Berkeley. Jury's methods remain in textbooks used in electrical engineering and computer science programs at Massachusetts Institute of Technology and Stanford University, and his stability criterion continues to be implemented in software from MathWorks and libraries used in GNU Project initiatives. His professional papers are archived alongside collections from conferences at SIAM and IEEE.