Results 191 to 200 of about 790 (217)

Remarks on the Unitary Triangularization of a Nonsymmetric Matrix

Journal of the ACM, 1960
In [1], A. Householder described a method for the unitary triangularization of a matrix. The formulas given there are valid for the real case. In this note we describe the modifications to handle the complex case and also point out a small modification in the real case which will improve the numerical accuracy of the method.
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On reduced rank of triangular matrix rings

Journal of Algebra and Its Applications, 2015
We determine conditions under which a generalized triangular matrix ring has finite reduced rank, in the general torsion-theoretic sense. These are applied to characterize certain orders in Artinian rings, and to show that if each homomorphic image of a ring S has finite reduced rank, then so does the ring of lower triangular matrices over S.
Bailey, Abigail C., Beachy, John A.
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On Strongly Clean Matrix and Triangular Matrix Rings

Communications in Algebra, 2006
A ring R with identity is called “clean” if every element of R is the sum of an idempotent and a unit, and R is called “strongly clean” if every element of R is the sum of an idempotent and a unit that commute. Strongly clean rings are “additive analogs” of strongly regular rings, where a ring R is strongly regular if every element of R is the product ...
Jianlong Chen, Xiande Yang, Yiqiang Zhou
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Note on the Computation of the Inverse of a Triangular Matrix

Psychometrika, 1949
A simplified method of computing the inverse of a triangular matrix is presented. It is useful with the multiple-group method of factoring the correlation matrix as well as with other factor-analysis and multiple-correlation problems.
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Triangular to Matrix or Matrix to Triangular Conversion in APL

ACM SIGAPL APL Quote Quad, 1989
Jerry Brennan, Jennifer Daly
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On skew generalized triangular matrix rings

Summary: In this article, we study skew monoid rings in which the monoid used in their structure is a quotient of a free monoid. We study annihilator conditions of them and describe conditions for transferring some properties from the base ring \(R\) to these extensions. Interesting examples are provided for properties that are not transferred from \(R\
Habibi, Mohammad, Paykan, Kamal
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The Determinant of a Triangular-Block Matrix

SIAM Review, 1996
Matthew Roughan, Kenneth Pope
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Revisiting the Adjoint Matrix for FPGA Calculating the Triangular Matrix Inversion

IEEE Transactions on Circuits and Systems II: Express Briefs, 2021
Di Yan, Wei-Xing Wang, Lei Zuo
exaly  

Multiplicative Lie derivations on triangular n-matrix rings

Linear and Multilinear Algebra, 2022
Huimin Chen
exaly  

Triangular matrix

2001
Saul I. Gass, Carl M. Harris
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