Publications and Preprints


W. Schachinger. On the variance of a class of inductive valuations of data structures for digital search.
Theoretical Computer Science 144 (1995), no. 1, 251 275.

W. Schachinger. The variance of a partial match retrieval in a multidimensional symmetric trie.
Random Structures and Algorithms 7 (1995), no. 1, 81 95.

W. Schachermayer and W. Schachinger. Is there a predictable criterion for mutual singularity of two probability measures on a filtered space?
Teor. Veroyatnost. i Primenen. 44 (1999), no. 1, 101 110.
Translation in: Theory of Probability and its Applications 44 (2000), no. 1, 51 59.

W. Schachinger. Limiting distributions for the costs of partial match retrievals in multidimensional tries.
Random Structures and Algorithms 17 (2000), no. 3 4, 428 459.

P. Grandits and W. Schachinger. Leland's approach to option pricing: The evolution of a discontinuity.
Mathematical Finance 11 (2001), no. 3, 347 355.

W. Schachinger. Asymptotic normality of recursive algorithms via martingale difference arrays.
Discrete Mathematics and Theoretical Computer Science 4 (2001), no. 2, 363 397.

W. Schachinger. Concentration of size and path length of tries.
Combinatorics, Probability and Computing 13 (2004), no. 4 5, 763 793.

W. Schachinger. Distributional results for costs of partial match queries in asymmetric K-dimensional tries.
SIAM J. Comput. 33 (2004), no. 4, 952 983.

W. Schachinger. An AEP-like property of the trie data structure.
Proceedings of the 38th Annual Conference on Information Sciences and Systems - CISS 2004, 570 575, Princeton University, Princeton, NJ, March 2004.

W. Schachinger, B. Addis, I. Bomze and F. Schoen. New results for molecular formation under pairwise potential minimization.
Comput. Optim. Appl. 38 (2007), no. 3, 329 349.

W. Schachinger and I. Bomze. A Conic Frank-Wolfe Type Theorem via Exact Penalization in Quadratic Optimization.
Mathematics of OR 34 (2009), no.1, 83 91.

B. Addis and W. Schachinger. Improved bounds for interatomic distance in Morse clusters.
OR Letters 37 (2009), 290 294.

I. Bomze and W. Schachinger. Multi-Standard Quadratic optimization problems: interior point methods and cone programming reformulation.
Comput. Optim. Appl. 45 (2010), no. 2, 237 256.

B. Addis and W. Schachinger. Morse potential energy minimization: Improved bounds for optimal configurations.
Comput. Optim. Appl. 47 (2010), no. 1, 129 131.

P. Tseng, I. Bomze and W. Schachinger. A First-Order Interior-Point Method for Linearly Constrained Smooth Optimization.
Mathematical Programming 127 (2011), no. 2, 399 424.

I. Bomze, W. Schachinger and G. Uchida. Think co(mpletely )positive! Matrix properties, examples and a clustered bibliography on copositive optimization.
J. Global Optim. 52 (2012), no. 3, 423 445.

N. Shaked-Monderer, I. Bomze, F. Jarre and W. Schachinger. On the cp-rank and minimal cp factorizations of a completely positive matrix.
SIAM Journal on Matrix Analysis and Applications 34 (2013), no. 2, 355 368.

I. M. Bomze, W. Schachinger and R. Ullrich. From seven to eleven: completely positive matrices with high cp-rank.
Linear Algebra and its Applications 459 (2014), 208 - 221.

N. Shaked-Monderer, A. Berman, I. Bomze, F. Jarre and W. Schachinger. New results on the cp rank and related properties of co(mpletely )positive matrices.
Linear and Multilinear Algebra 63 (2015), 384 - 396.

I. M. Bomze, W. Schachinger and R. Ullrich. New lower bounds and asymptotics for the cp-rank.
SIAM Journal on Matrix Analysis and Applications 36 (2015), no. 1, 20 - 37.

I. M. Bomze, W. Schachinger and R. Ullrich. The complexity of simple models - a study of worst and typical hard cases for the Standard Quadratic Optimization Problem.
Mathematics of Operations Research, Published Online: October 3, 2017.