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Applications of 1st year linear algebar in it field

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Answered by bhavith19
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10 Notable Papers from Linear Algebra & Its Applications over the last 50 years

The year 2018 marks the golden anniversary of Linear Algebra and its Applications (LAA). LAA was first published 50 years ago. It was the first journal devoted to linear algebra and indeed was instrumental in defining linear algebra as a serious field of study and promoting its development and application.

To continue our celebration of this, we have decided to select 10 notable papers from the Journal that have been published over the last 50 years. 

All these papers are free to access as they are hosted in the Elsevier Mathematics Open Archive. 

We hope you enjoy our selection. 

Richard A. Brualdi
Volker Mehrmann
Peter Semrl

Complementary pivot theory of mathematical programming
Volume 1, Issue 1, January 1968, Pages 103-125
Richard W. Cottle, George B. Dantzig

On the Eneström-Kakeya theorem and its sharpness
Volume 28, December 1979, Pages 5-16
N. Anderson, E.B. Saff, R.S. Varga

A new look at the Lanczos algorithm for solving symmetric systems of linear equations
Volume 29, February 1980, Pages 323-346
B.N. Parlett 

A generalization of the Eckart-Young-Mirsky matrix approximation theorem
Volumes 88–89, April 1987, Pages 317-327
G.H. Golub, Alan Hoffman, G.W. Stewart 

Linear complexity parallel algorithms for linear systems of equations with recursive structure
Volumes 88–89, April 1987, Pages 271-315
I. Gohberg, T. Kailath, I. Koltracht, P. Lancaster

Scalings of matrices which have prespecified row sums and column sums via optimization
Volumes 114–115, March–April 1989, Pages 737-764
Uriel G. Rothblum, Hans Schneider 

Pencils of complex and real symmetric and skew matrices
Volume 147, March 1991, Pages 323-371
Robert C. Thompson

Riemannian geometry and matrix geometric means 
Volume 413, Issues 2–3, 1 March 2006, Pages 594-618 
Rajendra Bhatia, John Holbrook

A constructive version of the Boyle–Handelman theorem on the spectra of nonnegative matrices 
Volume 436, Issue 6, 15 March 2012, Pages 1701-1709 
Thomas J. Laffey

Perron–Frobenius theorem for nonnegative multilinear forms and extensions 
Volume 438, Issue 2, 15 January 2013, Pages 738-749 
S. Friedland, S. Gaubert, L. Han

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