Search Results - "Borwein, Jonathan M."

DOUGLAS–RACHFORD FEASIBILITY METHODS FOR MATRIX COMPLETION PROBLEMS by ARAGÓN ARTACHO, FRANCISCO J., BORWEIN, JONATHAN M., TAM, MATTHEW K.

“…In this paper, we give general recommendations for successful application of the Douglas–Rachford reflection method to convex and nonconvex real matrix…”
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High-Precision Arithmetic in Mathematical Physics by Bailey, David H, Borwein, Jonathan M

“…For many scientific calculations, particularly those involving empirical data, IEEE 32-bit floating-point arithmetic produces results of sufficient accuracy,…”
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On Projection Algorithms for Solving Convex Feasibility Problems by Bauschke, Heinz H., Borwein, Jonathan M.

“…Due to their extraordinary utility and broad applicability in many areas of classical mathematics and modern physical sciences (most notably, computerized…”
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Maximality of sums of two maximal monotone operators in general Banach space by Borwein, Jonathan M.

“…We combine methods from convex analysis, based on a function of Simon Fitzpatrick, with a fine recent idea due to Voisei, to prove maximality of the sum of two…”
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I Prefer Pi: A Brief History and Anthology of Articles in the American Mathematical Monthly by Borwein, Jonathan M, Chapman, Scott T

“…In celebration of both a special “big” π Day (3/14/15) and the 2015 centennial of the Mathematical Association of America, we review the illustrious history of…”
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On the Solution of Linear Mean Recurrences by Borwein, David, Borwein, Jonathan M., Sims, Brailey

“…Motivated by questions of algorithm analysis, we provide several distinct approaches to determining convergence and limit values for a class of linear…”
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Hilbert's Inequality and Witten's Zeta-Function by Borwein, Jonathan M.

“…Borwein explores a variety of pleasing connections between analysis, number theory, and operator theory, while revisiting a number of beautiful inequalities…”
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A Cyclic Douglas–Rachford Iteration Scheme by Borwein, Jonathan M., Tam, Matthew K.

“…In this paper, we present two Douglas–Rachford inspired iteration schemes which can be applied directly to N -set convex feasibility problems in Hilbert space…”
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Convex analysis in groups and semigroups: a sampler by Borwein, Jonathan M., Giladi, Ohad

“…We define convexity canonically in the setting of monoids. We show that many classical results from convex analysis hold for functions defined on such groups…”
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Recent Results on Douglas–Rachford Methods for Combinatorial Optimization Problems by Aragón Artacho, Francisco J., Borwein, Jonathan M., Tam, Matthew K.

“…We discuss recent positive experiences applying convex feasibility algorithms of Douglas–Rachford type to highly combinatorial and far from convex problems…”
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Gamma and Factorial in the Monthly by Borwein, Jonathan M., Corless, Robert M.

“…Since its inception in 1894, the Monthly has printed 50 articles on the Γ function or Stirling's asymptotic formula, including the magisterial 1959 paper by…”
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Global behavior of the Douglas–Rachford method for a nonconvex feasibility problem by Aragón Artacho, Francisco J., Borwein, Jonathan M., Tam, Matthew K.

“…In recent times the Douglas–Rachford algorithm has been observed empirically to solve a variety of nonconvex feasibility problems including those of a…”
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Mathematics by Experiment: Plausible Reasoning in the 21st Century by Borwein, Jonathan, Bailey, David

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Fifty years of maximal monotonicity by Borwein, Jonathan M.

“…Maximal monotone operator theory is about to turn (or just has turned) 50. I intend to briefly survey the history of the subject. I shall try to explain why…”
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Derivatives and fast evaluation of the Tornheim zeta function by Borwein, Jonathan M., Dilcher, Karl

“…We study analytic properties of the Tornheim zeta function W ( r , s , t ) , which is also named after Mordell and Witten. In particular, we evaluate the…”
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A Variational Approach to Lagrange Multipliers by Borwein, Jonathan M., Zhu, Qiji J.

“…We discuss Lagrange multiplier rules from a variational perspective. This allows us to highlight many of the issues involved and also to illustrate how broadly…”
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Maximality of sums of two maximal monotone operators by Borwein, Jonathan M.

“…We use methods from convex analysis, relying on an ingenious function of Simon Fitzpatrick, to prove maximality of the sum of two maximal monotone operators on…”
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Dynamics of the Douglas-Rachford Method for Ellipses and p-Spheres by Borwein, Jonathan M., Lindstrom, Scott B., Sims, Brailey, Schneider, Anna, Skerritt, Matthew P.

“…We expand upon previous work that examined the behavior of the iterated Douglas-Rachford method for a line and a circle by considering two generalizations:that…”
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Global convergence of a non-convex Douglas–Rachford iteration by Aragón Artacho, Francisco J., Borwein, Jonathan M.

“…We establish a region of convergence for the proto-typical non-convex Douglas–Rachford iteration which finds a point on the intersection of a line and a…”
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A characterization of quasiconvex vector-valued functions by Benoist, Joël, Borwein, Jonathan M., Popovici, Nicolae

“…The aim of this paper is to characterize in terms of scalar quasiconvexity the vector-valued functions which are K-quasiconvex with respect to a closed convex…”
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