Zeros and Periodicity of Functions of Infinite Matrices
1959 ◽
Vol 11
(4)
◽
pp. 225-229
Certain functions of infinite matrices are known to exist.† This gives rise to the following questions:1. Whether the power series of matriceshas a zero in the field ‡ of infinite matrices, and2. If f(A) exists for a certain infinite matrix A, is there an infinite matrix B such thatIn other words, is there a matrix period for f(A)?In this paper theorems concerning zeros and periodicity of functions of semi block infinite matrices § (defined below) are established.
1966 ◽
Vol 62
(4)
◽
pp. 637-642
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Keyword(s):
1968 ◽
Vol 9
(2)
◽
pp. 146-151
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1959 ◽
Vol 55
(1)
◽
pp. 51-61
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1982 ◽
Vol 34
(4)
◽
pp. 952-960
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1970 ◽
Vol 13
(1)
◽
pp. 151-152
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1990 ◽
Vol 33
(3)
◽
pp. 483-490
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Keyword(s):
1982 ◽
Vol 34
(3)
◽
pp. 741-758
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1982 ◽
Vol 25
(2)
◽
pp. 183-207
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