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A matrix in the block Schwarz form and the stability of matrix polynomials [PDF]
International Journal of Control, 1978 A matrix which consists of block elements is established in the block Schwarz form via a linear transformation. The transformation matrix constructed by Chen and Chu is modified and extended for transforming the block companion form to the block Schwarz form.
Leang-San Shieh, Shailendra Sacheti
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A Matrix Robot for Block Stacking
2016This research studies how to control a robot to stack blocks according to the block structure shown in a given image. In this project, a LabVIEW program is designed and run on a Lego Mindstorms NXT, which in turn controls a robot built with components of Matrix Robotics. There are two operation modes for the block stacking robot.
Yu-Ching Su +2 more
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Optimal block size for matrix multiplication using blocking
2014 37th International Convention on Information and Communication Technology, Electronics and Microelectronics (MIPRO), 2014Matrix multiplication is a widely used algorithm in today's computing. Speeding up the multiplication of huge matrices is imperative for scientists and they are trying to discover the fastest algorithm. Blocking the matrices reduces the cache misses since both blocks can be stored in L1 cache and thus only the first access of an element will result in ...
Marjan Gusev +2 more
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Block Toeplitz Matrix Inversion
SIAM Journal on Applied Mathematics, 1973An iterative procedure for the inversion of a block Toeplitz matrix is given. Hitherto published procedures are obtained as special cases of the present procedure. The use of the procedure in time series analysis is briefly explained.
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Construction of the inverse matrix to a block upper triangular matrix
2016 XV International Symposium Problems of Redundancy in Information and Control Systems (REDUNDANCY), 2016A new analytical method of constructing the inverse matrix to the check matrix of the system of embedded inner codes for the generalized error-locating codes is proposed.
Dmitri Shmelkin, Sergei V. Fedorenko
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On the matrix polynomial, lambda-matrix and block eigenvalue problems
2018Computer Science ...
Dennis, John E., Jr. +2 more
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Block-Equations and Matrix-Inversion
1983An “ordinary” system of linear equations can be formulated in matrix notation, as follows: $$ {\rm{A}} \cdot \underline {\rm{x}} = \underline {\rm{b}} $$
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Inertias of Block Band Matrix Completions
SIAM Journal on Matrix Analysis and Applications, 1998This paper classifies the ranks and inertias of hermitian completion for the partially specified 3 x 3 block band hermitian matrix (also known as a "bordered matrix") P=\pmatrix{A&B&?\cr B^*&C&D\cr ?&D^*&E}. The full set of completion inertias is described in terms of seven linear inequalities involving inertias and ranks of specified submatrices ...
Nir Cohen, Jerome Dancis
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Block Matrix Operators and Weak Hyponormalities
Integral Equations and Operator Theory, 2009We introduce a new model of a block matrix operator M(α, β) induced by two sequences α and β and characterize its p-hyponormality. The model may be viewed as arising from the composition operator C T on $$l^{2}_{+} := L^2(\mathbb {N}_0)$$
George R. Exner +2 more
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conditioning of the exponential of a block triangular matrix
Numerical Algorithms, 2001We propose a new measure of conditioning for the exponential of a block triangular matrix. We also show that different “condition numbers” must be used to assess the accuracy of different algorithms which implement diagonal Pade with scaling and squaring.
L. DIECI, PAPINI, ALESSANDRA
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