Results 11 to 20 of about 161,308 (277)
Orthogonal Hessenberg reduction and orthogonal Krylov subspace bases [PDF]
SIAM Journal on Numerical Analysis, 2006 We study necessary and sufficient conditions that a nonsingular matrix A can be B-orthogonally reduced to upper Hessenberg form with small bandwidth. By this we mean the existence of a decomposition AV=VH, where H is upper Hessenberg with few nonzero ...
Liesen, Jörg, Saylor, Paul E.
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Hilbert Bases for Orthogonal Arrays [PDF]
Journal of Statistical Theory and Practice, 2007 In this paper, we relate the problem of generating all 2-level orthogonal arrays of given dimension and force, i.e. elements in OA$(n,m)$, where $n$ is the number of factors and $m$ the force, to the solution of an Integer Programming problem involving rational convex cones. We do not restrict the number of points in the array, i.e. we admit any number
CARLINI, ENRICO, PISTONE, Giovanni
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Shift-orthogonal wavelet bases [PDF]
IEEE Transactions on Signal Processing, 1998 Summary: Shift-orthogonal wavelets are a new type of multiresolution wavelet bases that are orthogonal with respect to translation (or shifts) within one level but not with respect to dilations across scales. The present authors characterize these wavelets and investigate their main properties by considering two general construction methods.
Michael Unser +2 more
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Algebras with unconditional orthogonal bases [PDF]
Proceedings of the American Mathematical Society, 1980 This is a continuation of our study of topological algebras with orthogonal Schauder bases. In the previous paper, the structure of closed ideals was determined and it was shown that the closed-maximal ideal space is homeomorphic with the discrete space of positive integers.
Husain, Taqdir, Watson, Saleem
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A new description of orthogonal bases [PDF]
Mathematical Structures in Computer Science, 2012 We show that an orthogonal basis for a finite-dimensional Hilbert space can be equivalently characterised as a commutative †-Frobenius monoid in the category FdHilb, which has finite-dimensional Hilbert spaces as objects and continuous linear maps as morphisms, and tensor product for the monoidal structure.
Bob Coecke, Dusko Pavlovic, Jamie Vicary
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Wavelets based on orthogonal polynomials [PDF]
Mathematics of Computation, 1997 We present a unified approach for the construction of polynomial wavelets. Our main tool is orthogonal polynomials. With the help of their properties we devise schemes for the construction of time localized polynomial bases on bounded and unbounded subsets of the real line. Several examples illustrate the new approach.
Bernd Fischer 0001, Jürgen Prestin
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Orthogonal Bases for Vertex-Mapped Pyramids [PDF]
SIAM Journal on Scientific Computing, 2016 Discontinuous Galerkin (DG) methods discretized under the method of lines must handle the inverse of a block diagonal mass matrix at each time step. Efficient implementations of the DG method hinge upon inexpensive and low-memory techniques for the inversion of each dense mass matrix block.
Jesse Chan, Timothy C. Warburton
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Approximation of Double-dimensional Densities of Probabilities by Orthogonal Bases
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2009 Approach to approximation of double-dimensional densities of probabilities in rectangle areas by the families of double-dimensional orthogonal functions created by multiplication of single-dimensional orthogonal functions is studied. Calculation formulas
l. A. Lyozin
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Orthogonality for Quantum Latin Isometry Squares [PDF]
Electronic Proceedings in Theoretical Computer Science, 2019 Goyeneche et al recently proposed a notion of orthogonality for quantum Latin squares, and showed that orthogonal quantum Latin squares yield quantum codes.
Benjamin Musto, Jamie Vicary
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Strong quantum nonlocality and unextendibility without entanglement in $N$-partite systems with odd $N$ [PDF]
QuantumA set of orthogonal product states is strongly nonlocal if it is locally irreducible in every bipartition, which shows the phenomenon of strong quantum nonlocality without entanglement.
Yiyun He, Fei Shi, Xiande Zhang
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