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  2. Polynomial root-finding algorithms - Wikipedia

    en.wikipedia.org/wiki/Polynomial_root-finding...

    For finding all the roots, arguably the most reliable method is the Francis QR algorithm computing the eigenvalues of the companion matrix corresponding to the polynomial, implemented as the standard method [1] in MATLAB. The oldest method of finding all roots is to start by finding a single root.

  3. Biconjugate gradient stabilized method - Wikipedia

    en.wikipedia.org/wiki/Biconjugate_gradient...

    Preconditioners are usually used to accelerate convergence of iterative methods. To solve a linear system Ax = b with a preconditioner K = K 1 K 2 ≈ A, preconditioned BiCGSTAB starts with an initial guess x 0 and proceeds as follows: r 0 = b − Ax 0; Choose an arbitrary vector r̂ 0 such that (r̂ 0, r 0) ≠ 0, e.g., r̂ 0 = r 0; ρ 0 ...

  4. How to Solve It - Wikipedia

    en.wikipedia.org/wiki/How_to_Solve_It

    Russian inventor Genrich Altshuller developed an elaborate set of methods for problem solving known as TRIZ, which in many aspects reproduces or parallels Pólya's work. How to Solve it by Computer is a computer science book by R. G. Dromey. [29] It was inspired by Pólya's work.

  5. Relaxation (iterative method) - Wikipedia

    en.wikipedia.org/wiki/Relaxation_(iterative_method)

    Relaxation methods are used to solve the linear equations resulting from a discretization of the differential equation, for example by finite differences. [ 2 ] [ 3 ] [ 4 ] Iterative relaxation of solutions is commonly dubbed smoothing because with certain equations, such as Laplace's equation , it resembles repeated application of a local ...

  6. Proximal gradient method - Wikipedia

    en.wikipedia.org/wiki/Proximal_gradient_method

    Proximal gradient methods are a generalized form of projection used to solve non-differentiable convex optimization problems. A comparison between the iterates of the projected gradient method (in red) and the Frank-Wolfe method (in green). Many interesting problems can be formulated as convex optimization problems of the form

  7. N.J. Man Accused of Stabbing His Fiancée to Death 1 ... - AOL

    www.aol.com/n-j-man-accused-stabbing-131911300.html

    A New Jersey man is reportedly facing a murder charge after his fiancée was killed the morning after he shared a video which appears to show him publicly proposing to her.

  8. Navy wife goes viral for surprising husband with hunting trip ...

    www.aol.com/navy-wife-goes-viral-surprising...

    A woman in Kentucky surprised her Navy husband with a special military homecoming by gifting him a five-day duck hunting trip in Kansas with his best friends ahead of Christmas.

  9. Two decades after 'The Simple Life,' Paris Hilton and Nicole ...

    www.aol.com/news/two-decades-simple-life-paris...

    Richie invited Hilton over to watch parts of the show since she hadn’t seen a full episode since it debuted. “It was very funny,” Richie says; however, she admits she found one aspect of it ...