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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Basic research in cardiology 87 (1992), S. 548-558 
    ISSN: 1435-1803
    Keywords: Ischemia ; reperfusion ; irreversibleinjury ; 31 P NMR ; phosphomonoesters
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary Depletion of high-energy phosphates, accumulation of inorganic phosphate and intracellular acidosis have each been proposed as important events in the transition from reversible to irreversible ischemic injury. To assess whether each variable is predictive of functional recovery on reperfusion, these were measured in the isolated isovolumic rat heart using31P NMR. Perfused hearts were subjected to either 10, 12 or 40 min of normothermic ischemia followed by 40 min of reperfusion. Hearts were then freeze-clamped for further analysis of phosphate metabolites by NMR and ion chromatography. High-energy phosphates, Pi, phosphomonoesters and pH were measured by31P NMR spectroscopy at 2 minute intervals. Heart rate and developed pressure were monitored simultaneously. All hearts undergoing 10 min of ischemia and 40% of hearts subjected to 12 min of ischemia demonstrated good functional recovery. The remainder of hearts ischemic for 12 min went into contracture on reperfusion with little return of function. Hearts subject to 40 min of ischemia went into ischemic contracture and showed no recovery on reperfusion. Intracellular pH, [ATP], and [Pi] measured prior to reperfusion did not predict the extent of recovery. However, phosphomonoesters were detected prior to reperfusion in all hearts that did not recover well, but were not observed in hearts that showed good mechanical recovery. Analysis of tissue extracts by31P NMR and ion chromatography indicated that the most prominent components of the phosphomonoesters were glucose 6-phosphate, α-glycerol phosphate and AMP. In conclusion, of the various phosphorus metabolites that can be measured by31P NMR, only one group, the phosphomonoesters, was predictive of functional recovery.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 75 (1992), S. 345-354 
    ISSN: 1573-2878
    Keywords: Unconstrained optimization ; generalized Polak-Ribière algorithms ; inexact line searches
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A new generalized Polak-Ribière conjugate gradient algorithm is proposed for unconstrained optimization, and its numerical and theoretical properties are discussed. The new method is, in fact, a particular type of two-dimensional Newton method and is based on a finite-difference approximation to the product of a Hessian and a vector.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 83 (1994), S. 421-431 
    ISSN: 1573-2878
    Keywords: Unconstrained optimization ; quasi-Newton updates ; optimal conditioning ; rankn family
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this note, a general optimal conditioning problem for updates which satisfy the quasi-Newton equation is solved. The new solution is a family of updates which contains other known optimally conditioned updates but also includes new formulas of increased rank. A new factorization formula for the Broyden family and some preliminary numerical results are also given.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 43 (1984), S. 357-370 
    ISSN: 1573-2878
    Keywords: Unconstrained optimization ; rational models ; conjugate directions ; inexact line searches
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract An algorithm for unconstrained minimization is developed which uses a rational function model, rather than a quadratic, as a basis for conjugate directions. The algorithm is similar to one previously proposed by the authors, but inexact linear searches are investigated in the present paper.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 43 (1984), S. 371-381 
    ISSN: 1573-2878
    Keywords: Unconstrained optimization ; conjugate-direction methods ; numerical algorithms ; rational models ; quadratic models
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A conjugate-gradient method for unconstrained optimization, which is based on a nonquadratic model, is proposed. The technique has the same properties as the Fletcher-Reeves algorithm when applied to a quadratic function. It is shown to be efficient when tried on general functions of different dimensionality.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 69 (1991), S. 129-137 
    ISSN: 1573-2878
    Keywords: Unconstrained optimization ; hybrid and restart conjugate gradient methods ; inexact line search
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The effect of inexact line search on conjugacy is studied in unconstrained optimization. A generalized conjugate gradient method based on this effect is proposed and shown to have global convergence for a twice continuously differentiable function with a bounded level set.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 69 (1991), S. 139-152 
    ISSN: 1573-2878
    Keywords: Unconstrained optimization ; hybrid and restart conjugate gradient methods ; limited-memory methods ; inexact line search
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In Part 1 of this paper (Ref. 1), a new, generalized conjugate gradient algorithm was proposed and its convergence investigated. In this second part, the new algorithm is compared numerically with other modified conjugate gradient methods and with limited-memory quasi-Newton methods.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 79 (1993), S. 311-331 
    ISSN: 1573-2878
    Keywords: Unconstrained optimization ; preconditioning ; lower-or-der Newton methods ; quasi-Newton methods
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, low-order Newton methods are proposed that make use of previously obtained second-derivative information by suitable preconditioning. When applied to a particular 2-dimensional Newton method (the LS method), it is shown that a member of the Broyden family of quasi-Newton methods is obtained. Algorithms based on this preconditioned LS model are tested against some variations of the BFGS method and shown to be much superior in terms of number of iterations and function evaluations, but not so effective in terms of number of gradient evaluations.
    Type of Medium: Electronic Resource
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