Edit Profile (opens in new tab) Emiris, Ioannis Z. Co-Author Distance Author ID: emiris.ioannis-z Published as: Emiris, Ioannis Z.; Emiris, Ioannis; Emiris, I. Z. more...less Homepage: http://cgi.di.uoa.gr/~emiris/ External Links: MGP · ORCID · ResearchGate · dblp Documents Indexed: 107 Publications since 1993, including 5 Additional arXiv Preprints 4 Contributions as Editor Co-Authors: 65 Co-Authors with 102 Joint Publications 1,353 Co-Co-Authors all top 5 Co-Authors 9 single-authored 24 Tsigaridas, Elias P. 12 Fisikopoulos, Vissarion 11 Konaxis, Christos 8 Psarros, Ioannis 6 Bartzos, Evangelos 6 Canny, John F. 6 Pan, Victor Yakovlevich 5 Chalkis, Apostolos 5 Dickenstein, Alicia M. 5 Mourrain, Bernard 4 D’Andrea, Carlos 4 Kalinka, Tatjana 4 Mantzaflaris, Angelos 3 Anagnostopoulos, Evangelos 3 Galligo, André 3 Tzoumas, George M. 3 Vidunas, Raimundas 2 Calès, Ludovic 2 Diochnos, Dimitrios I. 2 Karasoulou, Anna 2 Karavelas, Menelaos I. 2 Kavouras, Loukas 2 Kotsireas, Ilias S. 2 Laroche, Clément 2 Legerský, Jan 2 Lombardi, Henri 2 Manocha, Dinesh 2 Margonis, Vasilis 2 Palios, Leonidas 2 Peñaranda, Luis Mariano 2 Pion, Sylvain 2 Tzamos, Charalambos 2 Varvitsiotis, Antonios E. 1 Avarikioti, Georgia 1 Avarikioti, Zeta 1 Bagos, Pantelis G. 1 Brönnimann, Hervé 1 Checa, Carles 1 Christoforou, Emmanouil 1 Florakis, Apostolos 1 Fritzilas, Epaminondas D. 1 Gärtner, Bernd 1 Kakargias, A. 1 Lưu Bá Thắng 1 Markou, Euripides 1 Nikitopoulos, Theodore G. 1 Nikitopoulos, Theodoros G. 1 Pagourtzis, Aris T. 1 Pantos, Sotirios I. 1 Rege, Ashutosh 1 Repouskos, Panagiotis 1 Schicho, Josef 1 Schost, Éric 1 Sottile, Frank 1 Teillaud, Monique 1 Theobald, Thorsten 1 Tzovas, Charilaos 1 Valavanis, Ioannis K. 1 Verschelde, Jan 1 Vrahatis, Michael N. 1 Wallack, Aaron 1 Yu, Yanqiang 1 Zafeirakopoulos, Zafeirakis 1 Zafeiropoulos, Haris 1 Zervoudakis, Kyriakos all top 5 Serials 14 Journal of Symbolic Computation 5 Theoretical Computer Science 4 Computational Geometry 3 International Journal of Computational Geometry & Applications 2 Discrete Applied Mathematics 2 Computer Aided Geometric Design 2 Journal of Complexity 2 Algorithmica 2 Mathematics in Computer Science 1 ACM Transactions on Mathematical Software 1 Calcolo 1 Journal of Pure and Applied Algebra 1 SIAM Journal on Computing 1 Discrete & Computational Geometry 1 Linear Algebra and its Applications 1 Applicable Algebra in Engineering, Communication and Computing 1 Journal of Mathematical Chemistry 1 Journal of the ACM 1 Computational Biology and Chemistry 1 The IMA Volumes in Mathematics and its Applications 1 Algorithms and Computation in Mathematics 1 International Journal of Quantum Chemistry 1 ACM Transactions on Algorithms 1 Journal of Computational Geometry all top 5 Fields 63 Computer science (68-XX) 43 Numerical analysis (65-XX) 20 Commutative algebra (13-XX) 17 Convex and discrete geometry (52-XX) 15 Field theory and polynomials (12-XX) 13 Algebraic geometry (14-XX) 9 Real functions (26-XX) 9 Functions of a complex variable (30-XX) 8 Combinatorics (05-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 5 Operations research, mathematical programming (90-XX) 4 General and overarching topics; collections (00-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Biology and other natural sciences (92-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 84 Publications have been cited 687 times in 407 Documents Cited by ▼ Year ▼ Efficient incremental algorithms for the sparse resultant and the mixed volume. Zbl 0843.68036 Emiris, Ioannis Z.; Canny, John F. 48 1995 Certified approximate univariate GCDs. Zbl 0891.65015 Emiris, Ioannis Z.; Galligo, André; Lombardi, Henri 46 1997 Matrices in elimination theory. Zbl 0943.13005 Emiris, Ioannis Z.; Mourrain, Bernard 39 1999 Solving polynomial equations. Foundations, algorithms, and applications. Zbl 1061.12001 32 2005 A subdivision-based algorithm for the sparse resultant. Zbl 1094.65508 Canny, John F.; Emiris, Ioannis Z. 31 2000 An efficient algorithm for the sparse mixed resultant. Zbl 0789.65034 Canny, John; Emiris, Ioannis 28 1993 On the asymptotic and practical complexity of solving bivariate systems over the reals. Zbl 1169.13306 Diochnos, Dimitrios I.; Emiris, Ioannis Z.; Tsigaridas, Elias P. 27 2009 The DMM bound: multivariate (aggregate) separation bounds. Zbl 1321.68528 Emiris, Ioannis Z.; Mourrain, Bernard; Tsigaridas, Elias P. 19 2010 On the complexity of real root isolation using continued fractions. Zbl 1134.68067 Tsigaridas, Elias P.; Emiris, Ioannis Z. 19 2008 On the complexity of sparse elimination. Zbl 0935.12008 Emiris, Ioannis Z. 18 1996 Multihomogeneous resultant formulae by means of complexes. Zbl 1095.13547 Dickenstein, Alicia; Emiris, Ioannis Z. 17 2003 Symbolic and numeric methods for exploiting structure in constructing resultant matrices. Zbl 1017.65049 Emiris, Ioannis Z.; Pan, Victor Y. 16 2002 Real algebraic numbers: Complexity analysis and experimentation. Zbl 1165.65315 Emiris, Ioannis Z.; Mourrain, Bernard; Tsigaridas, Elias P. 16 2008 Numerical univariate polynomial GCD. Zbl 0856.65006 Emiris, Ioannis Z.; Galligo, André; Lombardi, Henri 14 1996 Improved algorithms for computing determinants and resultants. Zbl 1101.68981 Emiris, Ioannis Z.; Pan, Victor Y. 14 2005 The structure of sparse resultant matrices. Zbl 0916.65046 Emiris, Ioannis Z.; Pan, Victor Y. 12 1997 Sign determination in residue number systems. Zbl 0912.68083 Brönnimann, Hervé; Emiris, Ioannis Z.; Pan, Victor Y.; Pion, Sylvain 11 1999 Practical polytope volume approximation. Zbl 1484.65042 Emiris, Ioannis Z.; Fisikopoulos, Vissarion 10 2018 Efficient perturbations for handling geometric degeneracies. Zbl 0882.68143 Emiris, I. Z.; Canny, J. F.; Seidel, R. 9 1997 Monomial bases and polynomial system solving. Zbl 0917.13008 Emiris, Ioannis Z.; Rege, Ashutosh 8 1994 Computing sparse projection operators. Zbl 1013.14017 D’Andrea, Carlos; Emiris, Ioannis Z. 8 2001 The predicates of the Apollonius diagram: algorithmic analysis and implementation. Zbl 1082.65021 Emiris, Ioannis Z.; Karavelas, Menelaos I. 8 2006 Comparing real algebraic numbers of small degree. Zbl 1111.68788 Emiris, Ioannis Z.; Tsigaridas, Elias P. 8 2004 Mixed volume and distance geometry techniques for counting Euclidean embeddings of rigid graphs. Zbl 1269.05077 Emiris, Ioannis Z.; Tsigaridas, Elias P.; Varvitsiotis, Antonios 8 2013 How to count efficiently all affine roots of a polynomial system. Zbl 1034.68715 Emiris, Ioannis Z.; Verschelde, Jan 8 1999 On the complexity of real solving bivariate systems. Zbl 1190.13027 Diochnos, Dimitrios I.; Emiris, Ioannis Z.; Tsigaridas, Elias P. 8 2007 Random polynomials and expected complexity of bisection methods for real solving. Zbl 1321.68308 Emiris, Ioannis Z.; Galligo, André; Tsigaridas, Elias P. 7 2010 Root counts of semi-mixed systems, and an application to counting Nash equilibria. Zbl 1325.68275 Emiris, Ioannis Z.; Vidunas, Raimundas 7 2014 Towards and open curved kernel. Zbl 1375.68127 Emiris, I. Z.; Kakargias, A.; Pion, S.; Teillaud, M.; Tsigaridas, E. P. 7 2004 A general approach to removing degeneracies. Zbl 0831.68043 Emiris, Ioannis Z.; Canny, John F. 7 1995 Real solving of bivariate polynomial systems. Zbl 1169.65317 Emiris, Ioannis Z.; Tsigaridas, Elias P. 7 2005 Multihomogeneous resultant formulae for systems with scaled support. Zbl 1258.65038 Emiris, Ioannis Z.; Mantzaflaris, Angelos 7 2012 Univariate polynomial real root isolation: Continued fractions revisited. Zbl 1131.68596 Tsigaridas, Elias P.; Emiris, Ioannis Z. 7 2006 Implicitization exploiting sparseness. Zbl 1272.65018 Emiris, Ioannis Z.; Kotsireas, Ilias S. 7 2005 Products of Euclidean metrics and applications to proximity questions among curves. Zbl 1489.68355 Emiris, Ioannis Z.; Psarros, Ioannis 7 2018 Hybrid sparse resultant matrices for bivariate polynomials. Zbl 1021.65024 D’Andrea, Carlos; Emiris, Ioannis Z. 6 2002 A complete implementation for computing general-dimensional convex hulls. Zbl 1035.68529 Emiris, Ioannis Z. 6 1998 Computing the Newton polygon of the implicit equation. Zbl 1205.14040 Emiris, Ioannis Z.; Konaxis, Christos; Palios, Leonidas 6 2010 Real algebraic numbers and polynomial systems of small degree. Zbl 1162.68825 Emiris, Ioannis Z.; Tsigaridas, Elias P. 6 2008 On the maximal number of real embeddings of minimally rigid graphs in \(\mathbb{R}^2,\mathbb{R}^3\) and \(S^2\). Zbl 1448.05144 Bartzos, Evangelos; Emiris, Ioannis Z.; Legerský, Jan; Tsigaridas, Elias 6 2021 Efficient random-walk methods for approximating polytope volume. Zbl 1395.68300 Emiris, Ioannis Z.; Fisikopoulos, Vissarion 5 2014 Implicitization of curves and surfaces using predicted support. Zbl 1347.65041 Emiris, Ioannis Z.; Kalinka, Tatjana; Konaxis, Christos 5 2011 Plane mixed discriminants and toric Jacobians. Zbl 1331.65047 Dickenstein, Alicia; Emiris, Ioannis Z.; Karasoulou, Anna 5 2014 Implicitization of curves and (hyper)surfaces using predicted support. Zbl 1297.68272 Emiris, Ioannis Z.; Kalinka, Tatjana; Konaxis, Christos; Luu Ba Thang 5 2013 Separation bounds for polynomial systems. Zbl 1446.68202 Emiris, Ioannis; Mourrain, Bernard; Tsigaridas, Elias 5 2020 Low-quality dimension reduction and high-dimensional approximate nearest neighbor. Zbl 1378.68148 Anagnostopoulos, Evangelos; Emiris, Ioannis Z.; Psarros, Ioannis 4 2015 An output-sensitive algorithm for computing projections of resultant polytopes. Zbl 1293.68288 Emiris, Ioannis Z.; Fisikopoulos, Vissarion; Konaxis, Christos; Peñaranda, Luis 4 2012 An oracle-based, output-sensitive algorithm for projections of resultant polytopes. Zbl 1297.68238 Emiris, Ioannis Z.; Fisikopoulos, Vissarion; Konaxis, Christos; Peñaranda, Luis 4 2013 The predicates for the exact Voronoi diagram of ellipses under the Euclidean metric. Zbl 1160.65307 Emiris, Ioannis Z.; Tsigaridas, Elias P.; Tzoumas, George M. 4 2008 Multihomogeneous resultant matrices. Zbl 1072.68660 Dickenstein, Alicia; Emiris, Ioannis Z. 4 2002 On the multihomogeneous Bézout bound on the number of embeddings of minimally rigid graphs. Zbl 1464.05266 Bartzos, Evangelos; Emiris, Ioannis Z.; Schicho, Josef 4 2020 Randomized embeddings with slack and high-dimensional approximate nearest neighbor. Zbl 1454.68037 Anagnostopoulos, Evangelos; Emiris, Ioannis Z.; Psarros, Ioannis 4 2018 A practical method for the sparse resultant. Zbl 0924.65046 Emiris, Ioannis; Canny, John 3 1993 On the bit complexity of solving bilinear polynomial systems. Zbl 1360.13066 Emiris, Ioannis Z.; Mantzaflaris, Angelos; Tsigaridas, Elias 3 2016 Root comparison techniques applied to computing the additively weighted Voronoi diagram. Zbl 1092.68692 Karavelas, Menelaos I.; Emiris, Ioannis Z. 3 2003 Multihomogeneous resultant formulae for systems with scaled support. Zbl 1237.65042 Emiris, Ioannis Z.; Mantzaflaris, Angelos 3 2009 The predicates for the Voronoi diagram of ellipses. Zbl 1153.68530 Emiris, Ioannis Z.; Tsigaridas, Elias P.; Tzoumas, George M. 3 2006 Toric resultants and applications to geometric modelling. Zbl 1152.14307 Emiris, Ioannis Z. 3 2005 The m-Bézout bound and distance geometry. Zbl 07497946 Bartzos, Evangelos; Emiris, Ioannis Z.; Tzamos, Charalambos 3 2021 Algebraic methods for counting Euclidean embeddings of rigid graphs. Zbl 1284.05137 Emiris, Ioannis Z.; Tsigaridas, Elias P.; Varvitsiotis, Antonios E. 3 2010 Practical volume computation of structured convex bodies, and an application to modeling portfolio dependencies and financial crises. Zbl 1489.68344 Calès, Ludovic; Chalkis, Apostolos; Emiris, Ioannis Z.; Fisikopoulos, Vissarion 3 2018 Enumerating a subset of the integer points inside a Minkowski sum. Zbl 1016.68143 Emiris, Ioannis Z. 2 2002 Approximating multidimensional subset sum and Minkowski decomposition of polygons. Zbl 1409.68330 Emiris, Ioannis Z.; Karasoulou, Anna; Tzovas, Charilaos 2 2017 Hybrid sparse resultant matrices for bivariate systems. Zbl 1356.68274 D’Andrea, Carlos; Emiris, Ioannis Z. 2 2001 Modular arithmetic for linear algebra computations in the real field. Zbl 0911.65035 Emiris, Ioannis Z.; Pan, Victor Y.; Yu, Yanqiang 2 1998 New upper bounds for the number of embeddings of minimally rigid graphs. Zbl 1497.05180 Bartzos, Evangelos; Emiris, Ioannis Z.; Vidunas, Raimundas 2 2022 Single-lifting Macaulay-type formulae of generalized unmixed sparse resultants. Zbl 1217.65091 Emiris, Ioannis Z.; Konaxis, Christos 2 2011 Algebraic algorithms for structure determination in biological chemistry. Zbl 1188.68361 Emiris, Ioannis Z.; Fritzilas, Epaminondas D.; Manocha, Dinesh 2 2006 Minkowski decomposition of convex lattice polygons. Zbl 1114.68071 Emiris, Ioannis Z.; Tsigaridas, Elias P. 2 2006 Multilinear polynomial systems: root isolation and bit complexity. Zbl 1475.13051 Emiris, Ioannis Z.; Mantzaflaris, Angelos; Tsigaridas, Elias P. 2 2021 Efficient edge-skeleton computation for polytopes defined by oracles. Zbl 1336.68262 Emiris, Ioannis Z.; Fisikopoulos, Vissarion; Gärtner, Bernd 1 2016 High-dimensional approximate \(r\)-nets. Zbl 1410.68364 Avarikioti, Georgia; Emiris, Ioannis Z.; Kavouras, Loukas; Psarros, Ioannis 1 2017 Minkowski decomposition and geometric predicates in sparse implicitization. Zbl 1347.65042 Emiris, Ioannis Z.; Konaxis, Christos; Zafeirakopoulos, Zafeirakis 1 2015 Matrix methods for solving algebraic systems. Zbl 0983.65064 Emiris, Ioannis Z. 1 2001 Computing integer points in Minkowski sums. Zbl 1377.52015 Emiris, Ioannis Z. 1 2000 Exact Voronoi diagram of smooth convex pseudo-circles: general predicates, and implementation for ellipses. Zbl 1284.65030 Emiris, Ioannis Z.; Tsigaridas, Elias P.; Tzoumas, George M. 1 2013 Techniques for exploiting structure in matrix formulae of the sparse resultant. Zbl 0904.65049 Emiris, Ioannis Z.; Pan, Victor Y. 1 1996 Molecular conformation search by distance matrix perturbations. Zbl 1067.92064 Emiris, Ioannis Z.; Nikitopoulos, Theodoros G. 1 2005 Near-neighbor preserving dimension reduction for doubling subsets of \(\ell_1\). Zbl 07650114 Emiris, Ioannis Z.; Margonis, Vasilis; Psarros, Ioannis 1 2019 \(\beta\)-barrel transmembrane proteins: geometric modelling, detection of transmembrane region, and structural properties. Zbl 1112.92025 Valavanis, Ioannis K.; Bagos, Pantelis G.; Emiris, Ioannis Z. 1 2006 Discrete geometry for algebraic elimination. Zbl 1027.65065 Emiris, Ioannis Z. 1 2003 Sparse resultant perturbations. Zbl 1027.65054 D’Andrea, Carlos; Emiris, Ioannis Z. 1 2003 Sign methods for enumerating solutions of nonlinear algebraic systems. Zbl 1028.65052 Emiris, Ioannis Z.; Mourrain, Bernard; Vrahatis, Michael N. 1 2002 Matrix representations by means of interpolation. Zbl 1462.65047 Emiris, Ioannis Z.; Konaxis, Christos; Kotsireas, Ilias S.; Laroche, Clément 1 2017 New upper bounds for the number of embeddings of minimally rigid graphs. Zbl 1497.05180 Bartzos, Evangelos; Emiris, Ioannis Z.; Vidunas, Raimundas 2 2022 On the maximal number of real embeddings of minimally rigid graphs in \(\mathbb{R}^2,\mathbb{R}^3\) and \(S^2\). Zbl 1448.05144 Bartzos, Evangelos; Emiris, Ioannis Z.; Legerský, Jan; Tsigaridas, Elias 6 2021 The m-Bézout bound and distance geometry. Zbl 07497946 Bartzos, Evangelos; Emiris, Ioannis Z.; Tzamos, Charalambos 3 2021 Multilinear polynomial systems: root isolation and bit complexity. Zbl 1475.13051 Emiris, Ioannis Z.; Mantzaflaris, Angelos; Tsigaridas, Elias P. 2 2021 Separation bounds for polynomial systems. Zbl 1446.68202 Emiris, Ioannis; Mourrain, Bernard; Tsigaridas, Elias 5 2020 On the multihomogeneous Bézout bound on the number of embeddings of minimally rigid graphs. Zbl 1464.05266 Bartzos, Evangelos; Emiris, Ioannis Z.; Schicho, Josef 4 2020 Near-neighbor preserving dimension reduction for doubling subsets of \(\ell_1\). Zbl 07650114 Emiris, Ioannis Z.; Margonis, Vasilis; Psarros, Ioannis 1 2019 Practical polytope volume approximation. Zbl 1484.65042 Emiris, Ioannis Z.; Fisikopoulos, Vissarion 10 2018 Products of Euclidean metrics and applications to proximity questions among curves. Zbl 1489.68355 Emiris, Ioannis Z.; Psarros, Ioannis 7 2018 Randomized embeddings with slack and high-dimensional approximate nearest neighbor. Zbl 1454.68037 Anagnostopoulos, Evangelos; Emiris, Ioannis Z.; Psarros, Ioannis 4 2018 Practical volume computation of structured convex bodies, and an application to modeling portfolio dependencies and financial crises. Zbl 1489.68344 Calès, Ludovic; Chalkis, Apostolos; Emiris, Ioannis Z.; Fisikopoulos, Vissarion 3 2018 Approximating multidimensional subset sum and Minkowski decomposition of polygons. Zbl 1409.68330 Emiris, Ioannis Z.; Karasoulou, Anna; Tzovas, Charilaos 2 2017 High-dimensional approximate \(r\)-nets. Zbl 1410.68364 Avarikioti, Georgia; Emiris, Ioannis Z.; Kavouras, Loukas; Psarros, Ioannis 1 2017 Matrix representations by means of interpolation. Zbl 1462.65047 Emiris, Ioannis Z.; Konaxis, Christos; Kotsireas, Ilias S.; Laroche, Clément 1 2017 On the bit complexity of solving bilinear polynomial systems. Zbl 1360.13066 Emiris, Ioannis Z.; Mantzaflaris, Angelos; Tsigaridas, Elias 3 2016 Efficient edge-skeleton computation for polytopes defined by oracles. Zbl 1336.68262 Emiris, Ioannis Z.; Fisikopoulos, Vissarion; Gärtner, Bernd 1 2016 Low-quality dimension reduction and high-dimensional approximate nearest neighbor. Zbl 1378.68148 Anagnostopoulos, Evangelos; Emiris, Ioannis Z.; Psarros, Ioannis 4 2015 Minkowski decomposition and geometric predicates in sparse implicitization. Zbl 1347.65042 Emiris, Ioannis Z.; Konaxis, Christos; Zafeirakopoulos, Zafeirakis 1 2015 Root counts of semi-mixed systems, and an application to counting Nash equilibria. Zbl 1325.68275 Emiris, Ioannis Z.; Vidunas, Raimundas 7 2014 Efficient random-walk methods for approximating polytope volume. Zbl 1395.68300 Emiris, Ioannis Z.; Fisikopoulos, Vissarion 5 2014 Plane mixed discriminants and toric Jacobians. Zbl 1331.65047 Dickenstein, Alicia; Emiris, Ioannis Z.; Karasoulou, Anna 5 2014 Mixed volume and distance geometry techniques for counting Euclidean embeddings of rigid graphs. Zbl 1269.05077 Emiris, Ioannis Z.; Tsigaridas, Elias P.; Varvitsiotis, Antonios 8 2013 Implicitization of curves and (hyper)surfaces using predicted support. Zbl 1297.68272 Emiris, Ioannis Z.; Kalinka, Tatjana; Konaxis, Christos; Luu Ba Thang 5 2013 An oracle-based, output-sensitive algorithm for projections of resultant polytopes. Zbl 1297.68238 Emiris, Ioannis Z.; Fisikopoulos, Vissarion; Konaxis, Christos; Peñaranda, Luis 4 2013 Exact Voronoi diagram of smooth convex pseudo-circles: general predicates, and implementation for ellipses. Zbl 1284.65030 Emiris, Ioannis Z.; Tsigaridas, Elias P.; Tzoumas, George M. 1 2013 Multihomogeneous resultant formulae for systems with scaled support. Zbl 1258.65038 Emiris, Ioannis Z.; Mantzaflaris, Angelos 7 2012 An output-sensitive algorithm for computing projections of resultant polytopes. Zbl 1293.68288 Emiris, Ioannis Z.; Fisikopoulos, Vissarion; Konaxis, Christos; Peñaranda, Luis 4 2012 Implicitization of curves and surfaces using predicted support. Zbl 1347.65041 Emiris, Ioannis Z.; Kalinka, Tatjana; Konaxis, Christos 5 2011 Single-lifting Macaulay-type formulae of generalized unmixed sparse resultants. Zbl 1217.65091 Emiris, Ioannis Z.; Konaxis, Christos 2 2011 The DMM bound: multivariate (aggregate) separation bounds. Zbl 1321.68528 Emiris, Ioannis Z.; Mourrain, Bernard; Tsigaridas, Elias P. 19 2010 Random polynomials and expected complexity of bisection methods for real solving. Zbl 1321.68308 Emiris, Ioannis Z.; Galligo, André; Tsigaridas, Elias P. 7 2010 Computing the Newton polygon of the implicit equation. Zbl 1205.14040 Emiris, Ioannis Z.; Konaxis, Christos; Palios, Leonidas 6 2010 Algebraic methods for counting Euclidean embeddings of rigid graphs. Zbl 1284.05137 Emiris, Ioannis Z.; Tsigaridas, Elias P.; Varvitsiotis, Antonios E. 3 2010 On the asymptotic and practical complexity of solving bivariate systems over the reals. Zbl 1169.13306 Diochnos, Dimitrios I.; Emiris, Ioannis Z.; Tsigaridas, Elias P. 27 2009 Multihomogeneous resultant formulae for systems with scaled support. Zbl 1237.65042 Emiris, Ioannis Z.; Mantzaflaris, Angelos 3 2009 On the complexity of real root isolation using continued fractions. Zbl 1134.68067 Tsigaridas, Elias P.; Emiris, Ioannis Z. 19 2008 Real algebraic numbers: Complexity analysis and experimentation. Zbl 1165.65315 Emiris, Ioannis Z.; Mourrain, Bernard; Tsigaridas, Elias P. 16 2008 Real algebraic numbers and polynomial systems of small degree. Zbl 1162.68825 Emiris, Ioannis Z.; Tsigaridas, Elias P. 6 2008 The predicates for the exact Voronoi diagram of ellipses under the Euclidean metric. Zbl 1160.65307 Emiris, Ioannis Z.; Tsigaridas, Elias P.; Tzoumas, George M. 4 2008 On the complexity of real solving bivariate systems. Zbl 1190.13027 Diochnos, Dimitrios I.; Emiris, Ioannis Z.; Tsigaridas, Elias P. 8 2007 The predicates of the Apollonius diagram: algorithmic analysis and implementation. Zbl 1082.65021 Emiris, Ioannis Z.; Karavelas, Menelaos I. 8 2006 Univariate polynomial real root isolation: Continued fractions revisited. Zbl 1131.68596 Tsigaridas, Elias P.; Emiris, Ioannis Z. 7 2006 The predicates for the Voronoi diagram of ellipses. Zbl 1153.68530 Emiris, Ioannis Z.; Tsigaridas, Elias P.; Tzoumas, George M. 3 2006 Algebraic algorithms for structure determination in biological chemistry. Zbl 1188.68361 Emiris, Ioannis Z.; Fritzilas, Epaminondas D.; Manocha, Dinesh 2 2006 Minkowski decomposition of convex lattice polygons. Zbl 1114.68071 Emiris, Ioannis Z.; Tsigaridas, Elias P. 2 2006 \(\beta\)-barrel transmembrane proteins: geometric modelling, detection of transmembrane region, and structural properties. Zbl 1112.92025 Valavanis, Ioannis K.; Bagos, Pantelis G.; Emiris, Ioannis Z. 1 2006 Solving polynomial equations. Foundations, algorithms, and applications. Zbl 1061.12001 32 2005 Improved algorithms for computing determinants and resultants. Zbl 1101.68981 Emiris, Ioannis Z.; Pan, Victor Y. 14 2005 Real solving of bivariate polynomial systems. Zbl 1169.65317 Emiris, Ioannis Z.; Tsigaridas, Elias P. 7 2005 Implicitization exploiting sparseness. Zbl 1272.65018 Emiris, Ioannis Z.; Kotsireas, Ilias S. 7 2005 Toric resultants and applications to geometric modelling. Zbl 1152.14307 Emiris, Ioannis Z. 3 2005 Molecular conformation search by distance matrix perturbations. Zbl 1067.92064 Emiris, Ioannis Z.; Nikitopoulos, Theodoros G. 1 2005 Comparing real algebraic numbers of small degree. Zbl 1111.68788 Emiris, Ioannis Z.; Tsigaridas, Elias P. 8 2004 Towards and open curved kernel. Zbl 1375.68127 Emiris, I. Z.; Kakargias, A.; Pion, S.; Teillaud, M.; Tsigaridas, E. P. 7 2004 Multihomogeneous resultant formulae by means of complexes. Zbl 1095.13547 Dickenstein, Alicia; Emiris, Ioannis Z. 17 2003 Root comparison techniques applied to computing the additively weighted Voronoi diagram. Zbl 1092.68692 Karavelas, Menelaos I.; Emiris, Ioannis Z. 3 2003 Discrete geometry for algebraic elimination. Zbl 1027.65065 Emiris, Ioannis Z. 1 2003 Sparse resultant perturbations. Zbl 1027.65054 D’Andrea, Carlos; Emiris, Ioannis Z. 1 2003 Symbolic and numeric methods for exploiting structure in constructing resultant matrices. Zbl 1017.65049 Emiris, Ioannis Z.; Pan, Victor Y. 16 2002 Hybrid sparse resultant matrices for bivariate polynomials. Zbl 1021.65024 D’Andrea, Carlos; Emiris, Ioannis Z. 6 2002 Multihomogeneous resultant matrices. Zbl 1072.68660 Dickenstein, Alicia; Emiris, Ioannis Z. 4 2002 Enumerating a subset of the integer points inside a Minkowski sum. Zbl 1016.68143 Emiris, Ioannis Z. 2 2002 Sign methods for enumerating solutions of nonlinear algebraic systems. Zbl 1028.65052 Emiris, Ioannis Z.; Mourrain, Bernard; Vrahatis, Michael N. 1 2002 Computing sparse projection operators. Zbl 1013.14017 D’Andrea, Carlos; Emiris, Ioannis Z. 8 2001 Hybrid sparse resultant matrices for bivariate systems. Zbl 1356.68274 D’Andrea, Carlos; Emiris, Ioannis Z. 2 2001 Matrix methods for solving algebraic systems. Zbl 0983.65064 Emiris, Ioannis Z. 1 2001 A subdivision-based algorithm for the sparse resultant. Zbl 1094.65508 Canny, John F.; Emiris, Ioannis Z. 31 2000 Computing integer points in Minkowski sums. Zbl 1377.52015 Emiris, Ioannis Z. 1 2000 Matrices in elimination theory. Zbl 0943.13005 Emiris, Ioannis Z.; Mourrain, Bernard 39 1999 Sign determination in residue number systems. Zbl 0912.68083 Brönnimann, Hervé; Emiris, Ioannis Z.; Pan, Victor Y.; Pion, Sylvain 11 1999 How to count efficiently all affine roots of a polynomial system. Zbl 1034.68715 Emiris, Ioannis Z.; Verschelde, Jan 8 1999 A complete implementation for computing general-dimensional convex hulls. Zbl 1035.68529 Emiris, Ioannis Z. 6 1998 Modular arithmetic for linear algebra computations in the real field. Zbl 0911.65035 Emiris, Ioannis Z.; Pan, Victor Y.; Yu, Yanqiang 2 1998 Certified approximate univariate GCDs. Zbl 0891.65015 Emiris, Ioannis Z.; Galligo, André; Lombardi, Henri 46 1997 The structure of sparse resultant matrices. Zbl 0916.65046 Emiris, Ioannis Z.; Pan, Victor Y. 12 1997 Efficient perturbations for handling geometric degeneracies. Zbl 0882.68143 Emiris, I. Z.; Canny, J. F.; Seidel, R. 9 1997 On the complexity of sparse elimination. Zbl 0935.12008 Emiris, Ioannis Z. 18 1996 Numerical univariate polynomial GCD. Zbl 0856.65006 Emiris, Ioannis Z.; Galligo, André; Lombardi, Henri 14 1996 Techniques for exploiting structure in matrix formulae of the sparse resultant. Zbl 0904.65049 Emiris, Ioannis Z.; Pan, Victor Y. 1 1996 Efficient incremental algorithms for the sparse resultant and the mixed volume. Zbl 0843.68036 Emiris, Ioannis Z.; Canny, John F. 48 1995 A general approach to removing degeneracies. Zbl 0831.68043 Emiris, Ioannis Z.; Canny, John F. 7 1995 Monomial bases and polynomial system solving. Zbl 0917.13008 Emiris, Ioannis Z.; Rege, Ashutosh 8 1994 An efficient algorithm for the sparse mixed resultant. Zbl 0789.65034 Canny, John; Emiris, Ioannis 28 1993 A practical method for the sparse resultant. Zbl 0924.65046 Emiris, Ioannis; Canny, John 3 1993 all cited Publications top 5 cited Publications all top 5 Cited by 554 Authors 40 Emiris, Ioannis Z. 22 Tsigaridas, Elias P. 18 Mourrain, Bernard 18 Pan, Victor Yakovlevich 15 Sagraloff, Michael 12 Jeronimo, Gabriela 11 D’Andrea, Carlos 8 Cheng, Jinsan 7 Galligo, André 7 Kerber, Michael 7 Minimair, Manfred 7 Psarros, Ioannis 7 Rouillier, Fabrice 6 Fisikopoulos, Vissarion 6 Mantzaflaris, Angelos 6 Pérez-Díaz, Sonia 6 Rueda, Sonia L. 6 Sabia, Juan 6 Sendra, Juan Rafael 6 Sendra, Juana 5 Bartzos, Evangelos 5 Busé, Laurent 5 Díaz-Toca, Gema María 5 Gao, Xiaoshan 5 Grasegger, Georg 5 Kaltofen, Erich L. 5 Lazard, Sylvain 5 Mehlhorn, Kurt 5 Pouget, Marc 5 Szántó, Ágnes 5 Telen, Simon 5 Verschelde, Jan 5 Yuan, Chunming 4 Berberich, Eric 4 Chalkis, Apostolos 4 Christou, Dimitrios 4 Chtcherba, Arthur D. 4 Driemel, Anne 4 Elkadi, Mohamed 4 Gao, Qingbin 4 Giusti, Marc 4 Gonzalez-Vega, Laureano 4 Heintz, Joos 4 Herrero, María Isabel 4 Jin, Kai 4 Kapur, Deepak 4 Karcanias, Nicos 4 Konaxis, Christos 4 Mitrouli, Marilena 4 Nagasaka, Kosaku 4 Pardo, Luis Miguel 4 Pion, Sylvain 4 Schicho, Josef 4 Schost, Éric 4 Van Barel, Marc 4 Winkler, Joab R. 3 Bank, Bernd 3 Bender, Matías R. 3 Bouzidi, Yacine 3 Caravantes, Jorge 3 De Lathauwer, Lieven 3 Dickenstein, Alicia M. 3 Gallet, Matteo 3 Goldman, Ronald N. 3 Halperin, Dan 3 Hong, Hoon 3 Jüttler, Bert 3 Koutschan, Christoph 3 Laurent, Monique 3 Li, Wei 3 Lubbes, Niels 3 Perrucci, Daniel 3 Qian, Guoliang 3 Rojas, J. Maurice 3 Rosholt, Rhys Eric 3 Rostalski, Philipp 3 Safey El Din, Mohab 3 Sombra, Martín 3 Spaenlehauer, Pierre-Jean 3 Sturmfels, Bernd 3 Terui, Akira 3 Yap, Chee-Keng 3 Zeng, Zhonggang 3 Zhi, Lihong 2 Abellanas, Manuel 2 Aichholzer, Oswin 2 Alcazar, Juan Gerardo 2 Aurenhammer, Franz 2 Barrowclough, Oliver J. D. 2 Becker, Ruben 2 Bellini, Emanuele 2 Bini, Dario Andrea 2 Bose, Prosenjit K. 2 Brönnimann, Hervé 2 Brozos-Vázquez, Miguel 2 Bruns, Winfried 2 Burr, Michael A. 2 Cai, Jiazhi 2 Calès, Ludovic 2 Capco, Jose ...and 454 more Authors all top 5 Cited in 89 Serials 84 Journal of Symbolic Computation 27 Theoretical Computer Science 16 Computer Aided Geometric Design 15 Journal of Computational and Applied Mathematics 15 Computational Geometry 12 Discrete & Computational Geometry 12 Linear Algebra and its Applications 11 Journal of Pure and Applied Algebra 11 Journal of Complexity 11 Mathematics in Computer Science 10 International Journal of Computational Geometry & Applications 8 Mathematics of Computation 7 Foundations of Computational Mathematics 6 Journal of Algebra 6 Journal of Systems Science and Complexity 5 Discrete Applied Mathematics 5 Applied Mathematics and Computation 5 Applicable Algebra in Engineering, Communication and Computing 5 SIAM Journal on Applied Algebra and Geometry 4 Computers & Mathematics with Applications 3 Calcolo 3 Mathematics and Computers in Simulation 3 Algorithmica 3 SIAM Journal on Discrete Mathematics 3 Experimental Mathematics 3 Journal of Mathematical Sciences (New York) 2 SIAM Journal on Numerical Analysis 2 Transactions of the American Mathematical Society 2 Advances in Applied Mathematics 2 Applied Numerical Mathematics 2 SIAM Journal on Matrix Analysis and Applications 2 European Journal of Operational Research 2 Computational Complexity 2 Journal of Algebraic Combinatorics 2 Mathematical Programming Computation 2 Science China. Mathematics 2 The Journal of Software for Algebra and Geometry 1 Applicable Analysis 1 Artificial Intelligence 1 Israel Journal of Mathematics 1 Physics Letters. B 1 ACM Transactions on Mathematical Software 1 Automatica 1 BIT 1 Computing 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Journal of Statistical Planning and Inference 1 Kybernetika 1 Numerische Mathematik 1 Proceedings of the London Mathematical Society. Third Series 1 SIAM Journal on Computing 1 Systems & Control Letters 1 Graphs and Combinatorics 1 Journal of Computer Science and Technology 1 Information and Computation 1 Journal of the American Mathematical Society 1 Journal of Global Optimization 1 Numerical Algorithms 1 Computational Statistics and Data Analysis 1 Mathematical Programming. Series A. Series B 1 Computational Optimization and Applications 1 Economic Theory 1 The Electronic Journal of Combinatorics 1 Advances in Computational Mathematics 1 International Transactions in Operational Research 1 Abstract and Applied Analysis 1 Annals of Combinatorics 1 Discrete Mathematics and Theoretical Computer Science. DMTCS 1 Data Mining and Knowledge Discovery 1 Journal of the European Mathematical Society (JEMS) 1 Gravitation & Cosmology 1 Advances in Geometry 1 The Journal of Logic and Algebraic Programming 1 Dynamical Systems 1 Computational Methods in Applied Mathematics 1 Journal of Applied Mathematics 1 Computational Biology and Chemistry 1 Probability Surveys 1 Journal of Computational and Graphical Statistics 1 International Journal of Quantum Chemistry 1 Dynamic Games and Applications 1 Journal of Theoretical Biology 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions 1 Arnold Mathematical Journal 1 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 Proceedings of the American Mathematical Society. Series B 1 Journal of Combinatorial Algebra all top 5 Cited in 37 Fields 198 Computer science (68-XX) 167 Numerical analysis (65-XX) 105 Commutative algebra (13-XX) 103 Algebraic geometry (14-XX) 67 Field theory and polynomials (12-XX) 45 Convex and discrete geometry (52-XX) 29 Linear and multilinear algebra; matrix theory (15-XX) 27 Combinatorics (05-XX) 25 Real functions (26-XX) 21 Functions of a complex variable (30-XX) 21 Operations research, mathematical programming (90-XX) 17 Number theory (11-XX) 10 Statistics (62-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Ordinary differential equations (34-XX) 6 Biology and other natural sciences (92-XX) 6 Information and communication theory, circuits (94-XX) 5 Systems theory; control (93-XX) 3 Difference and functional equations (39-XX) 3 Geometry (51-XX) 3 Quantum theory (81-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Probability theory and stochastic processes (60-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Nonassociative rings and algebras (17-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year