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Completely Positive Matrices
A real matrix is positive semidefinite if it can be decomposed as A = BBOC . In some applications the matrix B has to be elementwise nonnegative. If such a matrix exists, A is called completely positive. The smallest number of columns of a nonnegative matrix B such that A = BBOC is known as the cp- rank of A . This invaluable book focuses on necessary conditions and sufficient conditions for complete positivity, as well as bounds for the cp- rank. The methods are combinatorial, geometric and algebraic. The required background on nonnegative matrices, cones, graphs and Schur complements is outlined. Contents: Preliminaries: Matrix Theoretic Background; Positive Semidefinite Matrices; Nonnegat...
Nonnegative Matrices in the Mathematical Sciences
Nonnegative Matrices in the Mathematical Sciences provides information pertinent to the fundamental aspects of the theory of nonnegative matrices. This book describes selected applications of the theory to numerical analysis, probability, economics, and operations research. Organized into 10 chapters, this book begins with an overview of the properties of nonnegative matrices. This text then examines the inverse-positive matrices. Other chapters consider the basic approaches to the study of nonnegative matrices, namely, geometrical and combinatorial. This book discusses as well some useful ideas from the algebraic theory of semigroups and considers a canonical form for nonnegative idempotent matrices and special types of idempotent matrices. The final chapter deals with the linear complementary problem (LCP). This book is a valuable resource for mathematical economists, mathematical programmers, statisticians, mathematicians, and computer scientists.
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A Righteous Gentile
It is the early 1970s when Peter Kramer, a special envoy to the president of the United States, successfully concludes an Arab-Israeli peace treaty. A few weeks before the official signing, Kramers secret past is discovered and threatens to wreck not only the treaty, but also the precarious balance of world peace. It seems Kramer is not who he appears to be. This startling revelation sets into motion a course of events with roots planted during the Holocaust that now have crept into the highest echelons of international politics and financeand the events seem to be unstoppable unless some of the players are eliminated. Baruch Ben-David, the prime minister of Israel, owes his life to Kramer and is willing to prove his gratitude many times over. Meanwhile, Simon Jensen, the egocentric president of the United States, appears mentally unstable; and Paul Cline, a political assassin, faces his most difficult challenge. At the center of this deadly paradox stands Peter Kramer himself as he walks a thin moral tightrope between being a traitor to his people or a traitor to himself.
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Bitter Reckoning
Beginning in 1950, the state of Israel prosecuted and jailed dozens of Holocaust survivors who had served as camp kapos or ghetto police under the Nazis. At last comes the first full account of the kapo trials, based on records newly declassified after forty years. In December 1945, a Polish-born commuter on a Tel Aviv bus recognized a fellow rider as the former head of a town council the Nazis had established to manage the Jews. When he denounced the man as a collaborator, the rider leapt off the bus, pursued by passengers intent on beating him to death. Five years later, to address ongoing tensions within Holocaust survivor communities, the State of Israel instituted the criminal prosecuti...
