2,881 research outputs found
A note on inner-outer factorization of wide matrix-valued functions
Get PDFIn this paper we expand some of the results of [8, 9, 10]. In fact, using the techniques of [8, 9, 10], we provide formulas for the full rank inner-outer factorization of a wide matrix-valued rational function G with H∞ entries, that is, functions G with more columns than rows. State space formulas are derived for the inner and outer factor of G.</p
Seismic Rehabilitation of a Three-Storey R/C Flat-Slab Prototype Structure Using Different Techniques
No full textCondense Profile for C.M. ST.P lines Book, unknown date
Get PDFOne booklet that gives a profile of the lines that the C.M. & St.P. line ran through North and South Dakota and Montana
A toeplitz-like operator with rational symbol having poles on the unit circle i: Fredholm properties
Get PDFIn this paper a definition is given for an unbounded Toeplitzlike operator with rational symbol which has poles on the unit circle. It is shown that the operator is Fredholm if and only if the symbol has no zeroes on the unit circle, and a formula for the index is given as well. Finally, a matrix representation of the operator is discussed
Correspondence to Mary Ann Smith From William H. Borders and C.M. Lowe, March 22, 1961
No full textCorrespondence from William H. Borders and C.M. Lowe to Mary Ann Smith notifying her of a meeting for the Atlanta Student Adult Liaison. 1 page
Three-component velocity measurements in a momentum-conserving, axisymmetric, turbulent jet
No full textExperiments have been performed on a momentum conserving axisymmetric turbulent jet, the turbulence characteristics of which are well known [1]. Simultaneous three-component velocity measurements are acquired with high spatial and temporal resolution, using a new triple-sensor hotwire probe. Velocity and directional calibrations are performed using a dedicated automatic calibration system. Two experiments are performed; one for capturing the average velocity field in a 3D volume, and one for investigating the turbulence spectra in specific points in space. In the first experiment, measurements are performed in 9 equidistant cross-planes, from 10- to 50-diameters downstream of the nozzle using a computer-controlled traversing system. The spatial resolution is as low as 1 mm and the sampling rate was 10 kHz. In the second experiment, long velocity time histories are acquired with 50 kHz sampling rate to perform power spectral density computations for each velocity component. Preliminary results of velocity capture confirm the general characteristics of the turbulent jet. The power spectra at different positions indicate that the turbulent fluctuations are not isotropic at lower frequencies
Canonical form for H-symplectic matrices
Get PDFIn this paper we consider pairs of matrices (A,H), with A and H either both real or both complex, H is invertible and skew-symmetric and A is H -symplectic, that is, ATH A = H. A canonical form for such pairs is derived under the transformations (A,H) → (S −1AS, STH S) for invertible matrices S. In the canonical form for the pair, the matrix A is brought in standard (real or complex) Jordan normal form, in contrast to existing canonical forms.</p
Distributed state estimation with communication of observations
No full textThe paper discusses communication of state information in a distributed
system. In particular, the following problem is considered:
if a linear combination of the output of one subsystem can be communicated,
which linear combination should be communicated to
minimize the state-error covariance matrix? Variants of this problem
where an additional limitation on the rank of the linear combination
is imposed are discussed as well.http://www.journals.elsevier.com/linear-algebra-and-its-applications
A General History of the Congregation of the Mission Beginning after the Death of Blessed Vincent de Paul
Get PDFThis work is the earliest known history of the Congregation of the Mission and dates from about 1730. Vincentian historian John E. Rybolt, C.M., building on the initiative of Stafford Poole, C.M., completed this English translation from the original French. The author, Claude-Joseph Lacour, C.M. (1672-1731), drew from already published materials and his own recollections. While the story he tells may seem familiar, Lacour included materials that are unknown anywhere else and delivers a first-hand account of the Congregation’s rapid growth in those early days. The text is essential reading for anyone wishing to better understand Vincent de Paul’s society of apostolic life of priests and brothers following his death.https://via.library.depaul.edu/vincentian_ebooks/1044/thumbnail.jp
Low Rank Perturbations of Quaternion Matrices
Get PDFLow rank perturbations of right eigenvalues of quaternion matrices are considered. For real and complex matrices it is well known that under a generic rank- perturbation the largest Jordan blocks of a given eigenvalue will disappear while additional smaller Jordan blocks will remain. In this paper, it is shown that the same is true for real eigenvalues of quaternion matrices, but for complex nonreal eigenvalues the situation is different: not only the largest , but the largest Jordan blocks of a given eigenvalue will disappear under generic quaternion perturbations of rank . Special emphasis is also given to Hermitian and skew-Hermitian quaternion matrices and generic low rank perturbations that are structure-preserving
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