Towards a Poetics of Stutter: Semantic and Syntactic Deconstruction in Saint John of the Cross and Stéphane Mallarmé

The present paper analyzes semantic and syntactic deconstruction in Saint John of the Cross and Stéphane Mallarmé, which is closely connected to the motif of stutter in both their works. It will be shown that, in each case, this motif describes language’s outlying district, an intermediate space between speech and silence, and an ongoing and simultaneous process of dissolution and manifestation that involves the poetic word on the one hand, and the transcendent signified (God in the case of Saint John, mainly the “Spirit” for Mallarmé) on the other.El presente trabajo analiza la deconstrucción semántica y sintáctica en la obra de san Juan de la Cruz y Stéphane Mallarmé, procedimiento lingüístico que en ambos autores está relacionado con el motivo del balbucir. Se mostrará que, en ambos casos, este motivo describe una zona periférica del lenguaje, un espacio intermedio e intermediario entre lenguaje y silencio, y un proceso continuo y simultáneo de disolución y manifestación que incluye, por un lado, la palabra poética y, por otro, el significado transcendente (Dios, en el caso de san Juan de la Cruz, principalmente el “Espíritu” en el caso de Mallarmé)

A Krylov subspace algorithm for evaluating the phi-functions appearing in exponential integrators

We develop an algorithm for computing the solution of a large system of linear ordinary differential equations (ODEs) with polynomial inhomogeneity. This is equivalent to computing the action of a certain matrix function on the vector representing the initial condition. The matrix function is a linear combination of the matrix exponential and other functions related to the exponential (the so-called phi-functions). Such computations are the major computational burden in the implementation of exponential integrators, which can solve general ODEs. Our approach is to compute the action of the matrix function by constructing a Krylov subspace using Arnoldi or Lanczos iteration and projecting the function on this subspace. This is combined with time-stepping to prevent the Krylov subspace from growing too large. The algorithm is fully adaptive: it varies both the size of the time steps and the dimension of the Krylov subspace to reach the required accuracy. We implement this algorithm in the Matlab function phipm and we give instructions on how to obtain and use this function. Various numerical experiments show that the phipm function is often significantly more efficient than the state-of-the-art.Comment: 20 pages, 3 colour figures, code available from http://www.maths.leeds.ac.uk/~jitse/software.html . v2: Various changes to improve presentation as suggested by the refere

Una mordedura misteriosa: la experiencia del otro en el «Cántico espiritual» de san Juan de la Cruz y «L’Après-midi d’un faune» de Stéphane Mallarmé

Como parte de un estudio comparado que pretende detectar elemen-tos de la teología negativa en las obras de san Juan de la Cruz y Stéphane Mallar-mé, el presente trabajo compara dos poemas en concreto, el «Cántico espiritual» y «L’Après-midi d’un faune», con vistas a la experiencia del otro

Los versos pitagóricos de Clara Janés

La poesía tardía de Clara Janés está marcada por la recepción de las matemáticas. El presente trabajo analiza este rasgo particular, enfocando la pregunta de cómo se despliegue el concepto de número en los poemas. A partir de una breve reflexión sobre la relación entre la poesía y las matemáticas desde una perspectiva general, se presenta una lectura doble, cosmológica y mística, de su obra. El autor concluye que Janés, siguiendo la tradición pitagórica, “poetiza” las matemáticas para insinuar el misterio inefable de la creación que, en última instancia, también designa la creación poética.The late work of the Spanish poetess Clara Janés is characterized by the reception of mathematics. The present article analyses this particular characteristic focusing on the question how the concept of number unfolds itself in the poems. On the basis of a brief reflection on the relation between poetry and mathematics from a general point of view, the author presents a double lecture, cosmological and mystical, of Janés’ work, concluding that she follows the Pythagorean tradition and “poetizises” mathematics in order to indicate the ineffable mystery of creation which is, in the end, also the mystery of poetry itself