-
1
-
-
0004100224
-
-
Cambridge University Press, Cambridge, England
-
Axelsson O. Iterative Solution Methods (1994), Cambridge University Press, Cambridge, England
-
(1994)
Iterative Solution Methods
-
-
Axelsson, O.1
-
2
-
-
0003473816
-
-
SIAM, Philadelphia
-
Barrett R., Berry M.W., Chan T.F., Demmel J., Donato J., Dongarra J., Eijkhout V., Pozo R., Romine C., and van der Vorst H. Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods (1993), SIAM, Philadelphia
-
(1993)
Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods
-
-
Barrett, R.1
Berry, M.W.2
Chan, T.F.3
Demmel, J.4
Donato, J.5
Dongarra, J.6
Eijkhout, V.7
Pozo, R.8
Romine, C.9
van der Vorst, H.10
-
3
-
-
0036867930
-
Preconditioning techniques for large linear systems: A survey
-
Benzi M. Preconditioning techniques for large linear systems: A survey. Journal of Computational Physics 182 (2002) 418-477
-
(2002)
Journal of Computational Physics
, vol.182
, pp. 418-477
-
-
Benzi, M.1
-
4
-
-
0000977233
-
Sign Determination in Residue Number Systems
-
Brönnimann H., Emiris I.Z., Pan V.Y., and Pion S. Sign Determination in Residue Number Systems. Theoretical Computer Science 210 1 (1999) 173-197
-
(1999)
Theoretical Computer Science
, vol.210
, Issue.1
, pp. 173-197
-
-
Brönnimann, H.1
Emiris, I.Z.2
Pan, V.Y.3
Pion, S.4
-
7
-
-
0000810983
-
A floating-point technique for extending the available precision
-
Dekker T.J. A floating-point technique for extending the available precision. Numerische Mathematik 18 (1971) 224-242
-
(1971)
Numerische Mathematik
, vol.18
, pp. 224-242
-
-
Dekker, T.J.1
-
8
-
-
0001380055
-
Exact solution of linear equations using p-adic expansions
-
Dixon J.D. Exact solution of linear equations using p-adic expansions. Numerische Mathematik 40 (1982) 137-141
-
(1982)
Numerische Mathematik
, vol.40
, pp. 137-141
-
-
Dixon, J.D.1
-
11
-
-
10044275644
-
Fast and accurate floating point summation with application to computational geometry
-
Demmel J., and Hida Y. Fast and accurate floating point summation with application to computational geometry. Numerical Algorithms 37 (2004) 101-112
-
(2004)
Numerical Algorithms
, vol.37
, pp. 101-112
-
-
Demmel, J.1
Hida, Y.2
-
12
-
-
0000006297
-
A probabilistic remark on algebraic program testing
-
Demillo R.A., and Lipton R.J. A probabilistic remark on algebraic program testing. Information Processing Letters 7 4 (1978) 193-195
-
(1978)
Information Processing Letters
, vol.7
, Issue.4
, pp. 193-195
-
-
Demillo, R.A.1
Lipton, R.J.2
-
13
-
-
0034511243
-
On computing the determinant and Smith form of an integer matrix
-
FOCS'2000, IEEE Computer Society Press, Los Alamitos, CA
-
Eberly W., Giesbrecht M., and Villard G. On computing the determinant and Smith form of an integer matrix. Proc. 41st Annual Symp. on Foundations of Computer Science. FOCS'2000 (2000), IEEE Computer Society Press, Los Alamitos, CA 675-685
-
(2000)
Proc. 41st Annual Symp. on Foundations of Computer Science
, pp. 675-685
-
-
Eberly, W.1
Giesbrecht, M.2
Villard, G.3
-
14
-
-
0036226901
-
Symbolic and numerical methods for exploiting structure in constructing resultant matrices
-
Emiris I.Z., and Pan V.Y. Symbolic and numerical methods for exploiting structure in constructing resultant matrices. Journal of Symbolic Computation 33 (2002) 393-413
-
(2002)
Journal of Symbolic Computation
, vol.33
, pp. 393-413
-
-
Emiris, I.Z.1
Pan, V.Y.2
-
15
-
-
11844252015
-
Improved algorithms for computing determinants and resultants
-
Emiris I.Z., and Pan V.Y. Improved algorithms for computing determinants and resultants. Journal of Complexity 21 1 (2005) 43-71
-
(2005)
Journal of Complexity
, vol.21
, Issue.1
, pp. 43-71
-
-
Emiris, I.Z.1
Pan, V.Y.2
-
16
-
-
0001070999
-
Some modified matrix eigenvalue problems
-
Golub G.H. Some modified matrix eigenvalue problems. SIAM Review 15 (1973) 318-334
-
(1973)
SIAM Review
, vol.15
, pp. 318-334
-
-
Golub, G.H.1
-
21
-
-
19044370033
-
Design, implementation and testing of extended and mixed precision BLAS
-
Li X., Demmel J., Bailey D., Henry G., Hida Y., Iskandar J., Kahan W., Kang S., Kapur A., Martin M., Thompson B., Tung T., and Yoo D. Design, implementation and testing of extended and mixed precision BLAS. ACM Transactions on Mathematics Software 28 (2002) 152-205
-
(2002)
ACM Transactions on Mathematics Software
, vol.28
, pp. 152-205
-
-
Li, X.1
Demmel, J.2
Bailey, D.3
Henry, G.4
Hida, Y.5
Iskandar, J.6
Kahan, W.7
Kang, S.8
Kapur, A.9
Martin, M.10
Thompson, B.11
Tung, T.12
Yoo, D.13
-
22
-
-
84945708089
-
Approximate algorithms to derive exact solutions to systems of linear equations
-
Proceedings of EUROSAM, Springer, Berlin
-
Moenck R.T., and Carter J.H. Approximate algorithms to derive exact solutions to systems of linear equations. Proceedings of EUROSAM. Lecture Notes in Computer Science vol. 72 (1979), Springer, Berlin 63-73
-
(1979)
Lecture Notes in Computer Science
, vol.72
, pp. 63-73
-
-
Moenck, R.T.1
Carter, J.H.2
-
24
-
-
0000692349
-
Multivariate polynomials, duality and structured matrices
-
Mourrain B., and Pan V.Y. Multivariate polynomials, duality and structured matrices. Journal of Complexity 16 1 (2000) 110-180
-
(2000)
Journal of Complexity
, vol.16
, Issue.1
, pp. 110-180
-
-
Mourrain, B.1
Pan, V.Y.2
-
26
-
-
0021452919
-
How can we speed up matrix multiplication?
-
Pan V.Y. How can we speed up matrix multiplication?. SIAM Review 26 3 (1984) 393-415
-
(1984)
SIAM Review
, vol.26
, Issue.3
, pp. 393-415
-
-
Pan, V.Y.1
-
27
-
-
84966229708
-
On computations with dense structured matrices
-
Pan V.Y. On computations with dense structured matrices. Mathematics of Computation 55 191 (1990) 179-190
-
(1990)
Mathematics of Computation
, vol.55
, Issue.191
, pp. 179-190
-
-
Pan, V.Y.1
-
28
-
-
0026870395
-
Complexity of computations with matrices and polynomials
-
Pan V.Y. Complexity of computations with matrices and polynomials. SIAM Review 34 2 (1992) 225-262
-
(1992)
SIAM Review
, vol.34
, Issue.2
, pp. 225-262
-
-
Pan, V.Y.1
-
29
-
-
0031169815
-
Solving a polynomial equation: Some history and recent progress
-
Pan V.Y. Solving a polynomial equation: Some history and recent progress. SIAM Review 39 2 (1997) 187-220
-
(1997)
SIAM Review
, vol.39
, Issue.2
, pp. 187-220
-
-
Pan, V.Y.1
-
31
-
-
0036334966
-
Univariate polynomials: Nearly optimal algorithms for factorization and rootfinding
-
Pan V.Y. Univariate polynomials: Nearly optimal algorithms for factorization and rootfinding. Journal of Symbolic Computations 33 5 (2002) 701-733
-
(2002)
Journal of Symbolic Computations
, vol.33
, Issue.5
, pp. 701-733
-
-
Pan, V.Y.1
-
32
-
-
55749096637
-
On theoretical and practical acceleration of randomized computation of the determinant of an integer matrix
-
(in English) St. Petersburg, Russia. Also available at: http://comet.lehman.cuny.edu/vpan/
-
Pan V.Y. On theoretical and practical acceleration of randomized computation of the determinant of an integer matrix. Zapiski Nauchnykh Seminarov POMI 316 (2004) 163-187. http://comet.lehman.cuny.edu/vpan/ (in English) St. Petersburg, Russia. Also available at: http://comet.lehman.cuny.edu/vpan/
-
(2004)
Zapiski Nauchnykh Seminarov POMI
, vol.316
, pp. 163-187
-
-
Pan, V.Y.1
-
33
-
-
40649113345
-
Additive preconditioning and aggregation in matrix computations
-
Pan V.Y., Ivolgin D., Murphy B., Rosholt R.E., Taj-Eddin I., Tang Y., and Yan X. Additive preconditioning and aggregation in matrix computations. Computers and Mathematics (with Applications) 55 8 (2008) 1870-1886
-
(2008)
Computers and Mathematics (with Applications)
, vol.55
, Issue.8
, pp. 1870-1886
-
-
Pan, V.Y.1
Ivolgin, D.2
Murphy, B.3
Rosholt, R.E.4
Taj-Eddin, I.5
Tang, Y.6
Yan, X.7
-
34
-
-
36448979283
-
Root-finding with Eigen-solving
-
Wang D., and Zhi L. (Eds), Birkhäuser, Basel, Boston
-
Pan V.Y., Ivolgin D., Murphy B., Rosholt R.E., Tang Y., Wang X., and Yan X. Root-finding with Eigen-solving. In: Wang D., and Zhi L. (Eds). Symbolic-Numerical Computation (2007), Birkhäuser, Basel, Boston 219-245
-
(2007)
Symbolic-Numerical Computation
, pp. 219-245
-
-
Pan, V.Y.1
Ivolgin, D.2
Murphy, B.3
Rosholt, R.E.4
Tang, Y.5
Wang, X.6
Yan, X.7
-
35
-
-
55749105610
-
-
V.Y. Pan, D. Ivolgin, B. Murphy, R.E. Rosholt, Y. Tang, X. Yan, Additive preconditioning for matrix computations, Tech. Report TR 2008004, Ph.D. Program in Computer Science, Graduate Center, the City University of New York, 2008. Available at: http://www.cs.gc.cuny.edu/tr/techreport.php?id=352
-
V.Y. Pan, D. Ivolgin, B. Murphy, R.E. Rosholt, Y. Tang, X. Yan, Additive preconditioning for matrix computations, Tech. Report TR 2008004, Ph.D. Program in Computer Science, Graduate Center, the City University of New York, 2008. Available at: http://www.cs.gc.cuny.edu/tr/techreport.php?id=352
-
-
-
-
36
-
-
44649102752
-
Additive preconditioning for matrix computations
-
Proc. of the Third International Computer Science Symposium in Russia. CSR 2008
-
Pan V.Y., Ivolgin D., Murphy B., Rosholt R.E., Tang Y., and Yan X. Additive preconditioning for matrix computations. Proc. of the Third International Computer Science Symposium in Russia. CSR 2008. Lecture Notes in Computer Science (LNCS) vol. 5010 (2008) 372-383
-
(2008)
Lecture Notes in Computer Science (LNCS)
, vol.5010
, pp. 372-383
-
-
Pan, V.Y.1
Ivolgin, D.2
Murphy, B.3
Rosholt, R.E.4
Tang, Y.5
Yan, X.6
-
38
-
-
55749093147
-
-
V.Y. Pan, B. Murphy, G. Qian, R.E. Rosholt, Error-free computations via floating-point operations, Computers and Mathematics (with Applications) (in press) and Technical Report TR 2007010, CUNY Ph.D. Program in Computer Science, Graduate Center, City University of New York, 2007. Available at: http://www.cs.gc.cuny.edu/tr/techreport.php?id=352
-
V.Y. Pan, B. Murphy, G. Qian, R.E. Rosholt, Error-free computations via floating-point operations, Computers and Mathematics (with Applications) (in press) and Technical Report TR 2007010, CUNY Ph.D. Program in Computer Science, Graduate Center, City University of New York, 2007. Available at: http://www.cs.gc.cuny.edu/tr/techreport.php?id=352
-
-
-
-
39
-
-
36448987095
-
The Schur aggregation for solving linear systems of equations
-
Verschelde J., and Watt S. (Eds). SNC 2007, July 2007, London, Ontario, Canada, ACM Press, New York
-
Pan V.Y., Murphy B., Rosholt R.E., and Tabanjeh M. The Schur aggregation for solving linear systems of equations. In: Verschelde J., and Watt S. (Eds). Proceedings of the Third International Workshop on Symbolic-Numeric Computation. SNC 2007, July 2007, London, Ontario, Canada (2007), ACM Press, New York 142-151
-
(2007)
Proceedings of the Third International Workshop on Symbolic-Numeric Computation
, pp. 142-151
-
-
Pan, V.Y.1
Murphy, B.2
Rosholt, R.E.3
Tabanjeh, M.4
-
40
-
-
55749109268
-
-
V.Y. Pan, G. Qian, Solving homogeneous linear systems with weakly random additive preprocessing, Technical Report TR 2008009, CUNY Ph.D. Program in Computer Science, Graduate Center, The City University of New York, 2008. Available at: http://www.cs.gc.cuny.edu/tr/techreport.php?id=352
-
V.Y. Pan, G. Qian, Solving homogeneous linear systems with weakly random additive preprocessing, Technical Report TR 2008009, CUNY Ph.D. Program in Computer Science, Graduate Center, The City University of New York, 2008. Available at: http://www.cs.gc.cuny.edu/tr/techreport.php?id=352
-
-
-
-
41
-
-
0012063917
-
An improved newton iteration for the generalized inverse of a matrix, with applications
-
Pan V.Y., and Schreiber R. An improved newton iteration for the generalized inverse of a matrix, with applications. SIAM Journal on Scientific and Statistical Computing 12 5 (1991) 1109-1131
-
(1991)
SIAM Journal on Scientific and Statistical Computing
, vol.12
, Issue.5
, pp. 1109-1131
-
-
Pan, V.Y.1
Schreiber, R.2
-
42
-
-
55749093878
-
-
V.Y. Pan, X. Yan, Additive preconditioning, eigenspaces, and the inverse iteration, Linear Algebra and its Applications (in press). Also Technical Report TR 2008006, CUNY Ph.D. Program in Computer Science, Graduate Center, The City University of New York, 2008. Available at: http://www.cs.gc.cuny.edu/tr/techreport.php?id=352
-
V.Y. Pan, X. Yan, Additive preconditioning, eigenspaces, and the inverse iteration, Linear Algebra and its Applications (in press). Also Technical Report TR 2008006, CUNY Ph.D. Program in Computer Science, Graduate Center, The City University of New York, 2008. Available at: http://www.cs.gc.cuny.edu/tr/techreport.php?id=352
-
-
-
-
43
-
-
36448940432
-
Null space and eigenspace computations with additive preprocessing
-
Verschelde J., and Watt S. (Eds). SNC 2007, July 2007, London, Ontario, Canada, ACM Press, New York
-
Pan V.Y., and Yan X. Null space and eigenspace computations with additive preprocessing. In: Verschelde J., and Watt S. (Eds). Proceedings of the Third International Workshop on Symbolic-Numeric Computation. SNC 2007, July 2007, London, Ontario, Canada (2007), ACM Press, New York 152-160
-
(2007)
Proceedings of the Third International Workshop on Symbolic-Numeric Computation
, pp. 152-160
-
-
Pan, V.Y.1
Yan, X.2
-
44
-
-
0012093747
-
Certification of numerical computation of the sign of the determinant of a matrix
-
Pan V.Y., and Yu Y. Certification of numerical computation of the sign of the determinant of a matrix. Algorithmica 30 (2001) 708-724
-
(2001)
Algorithmica
, vol.30
, pp. 708-724
-
-
Pan, V.Y.1
Yu, Y.2
-
45
-
-
55749095941
-
-
S.M. Rump, T. Ogita, S. Oishi, Accurate floating-point summation, Tech. Report 05.12, Faculty for Information and Communication Sciences, Hamburg University of Technology (41 pages), 2005, SIAM Journal on Scientific Computing (in print)
-
S.M. Rump, T. Ogita, S. Oishi, Accurate floating-point summation, Tech. Report 05.12, Faculty for Information and Communication Sciences, Hamburg University of Technology (41 pages), 2005, SIAM Journal on Scientific Computing (in print)
-
-
-
-
46
-
-
84976779342
-
Fast probabilistic algorithms for verification of polynomial identities
-
Schwartz J.T. Fast probabilistic algorithms for verification of polynomial identities. Journal of ACM 27 4 (1980) 701-717
-
(1980)
Journal of ACM
, vol.27
, Issue.4
, pp. 701-717
-
-
Schwartz, J.T.1
-
47
-
-
0031518093
-
Adaptive precision floating-point arithmetic and fast robust geometric predicates
-
Available at: www.cs.cmu.edu/~quake/robust.html
-
Shevchuk J. Adaptive precision floating-point arithmetic and fast robust geometric predicates. Discrete and Computational Geometry 18 (1997) 305-363. http://www.cs.cmu.edu/~quake/robust.html Available at: www.cs.cmu.edu/~quake/robust.html
-
(1997)
Discrete and Computational Geometry
, vol.18
, pp. 305-363
-
-
Shevchuk, J.1
-
50
-
-
21844458687
-
The shifted number system for fast linear algebra on integer matrices
-
Storjohann A. The shifted number system for fast linear algebra on integer matrices. Journal of Complexity 21 4 (2005) 609-650
-
(2005)
Journal of Complexity
, vol.21
, Issue.4
, pp. 609-650
-
-
Storjohann, A.1
-
51
-
-
34547147441
-
Affect of small rank modification on the condition number of a matrix
-
Wang X. Affect of small rank modification on the condition number of a matrix. Computer and Mathematics (with Applications) 54 (2007) 819-825
-
(2007)
Computer and Mathematics (with Applications)
, vol.54
, pp. 819-825
-
-
Wang, X.1
-
52
-
-
84925463455
-
Probabilistic algorithms for sparse polynomials
-
Proceedings of EUROSAM'79, Springer, Berlin
-
Zippel R.E. Probabilistic algorithms for sparse polynomials. Proceedings of EUROSAM'79. Lecture Notes in Computer Science vol. 72 (1979), Springer, Berlin 216-226
-
(1979)
Lecture Notes in Computer Science
, vol.72
, pp. 216-226
-
-
Zippel, R.E.1
|